vb_n(G):=3Dsup_{M \in A_G} dim H_n(M, Q),=C2=A0

where A_G is the set=
of all subgroups of finite index in G. In this talk we will discuss the vi=
rtual rational Betti numbers of nilpotent-by-abelian groups that satisfy ce=
rtain finiteness condition. Note that a group G is called nilpotent-by-abel=
ian if G has a nilpotent normal subgroup N such that G/N is abelian. These =
groups are solvable.

<= /div>

title:: UCD Algebra and Number Theory Seminar

content::= =C2=A0Fateme Yegane Mokari (S=C3=A3o Paulo/UCD)=C2=A0will speak on

::=C2= =A0Virtual rational Betti numbers of soluble groups of homological type FP_= n

date-time:: Thursday,=C2=A0November 7, 2019 at 2:00pm

content::= =C2=A0Fateme Yegane Mokari (S=C3=A3o Paulo/UCD)=C2=A0will speak on

::=C2= =A0Virtual rational Betti numbers of soluble groups of homological type FP_= n

date-time:: Thursday,=C2=A0November 7, 2019 at 2:00pm

locati=
on::=C2=A0Roo=
m 1.25, O=E2=80=99Brien Centre for Science (North)

endevent::

endevent::

<=
font size=3D"-1">The next=C2=
=A0seminar=C2=A0in the=C2=A0UCD=C2=A0Appli=
ed=C2=A0and=C2=A0Computational=C2=A0Maths=C2=A0 Seminar=C2=A0Series <http://maths.ucd.ie/ACMSem=
inars/> will take pla=
ce today, Monday, 4th November at 1pm.

Coffee, tea & biscuits will be available in the School of=C2=A0=
Mathematics=C2=A0& Statistics common room, ground floor,=C2=A0UCD=C2=A0=
O'Brien Centre for Science (North)=C2=A0beforehand.

All are welcome. Details of the=C2=A0seminar=C2=A0follow.

=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D

UCD=C2=A0Applied=C2=A0&=C2=A0Computational=C2=A0Mathematics=C2=A0Semina= r=C2=A0=C2=A0=C2=A0=C2=A0

=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D

**Speaker: **Miguel Bustamante (University=
College Dublin)

**Time:**=C2=A0Monday, 4th November 2019 at 1pm

**Location:=C2=A0**1.25 SCN,=C2=
=A0UCD=C2=A0O'Brien Centre for Science (North)

**Title:**=C2=A0Exact discrete resonances in the Fermi-Pasta-Ulam-T=
singou system

=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D

Best wishes,

Barry Wardell=

title::=C2=A0UCD=C2=A0ACM=C2=A0Sem=
inar

date-time:: Monday 4th November 2019 at 1:00pm

location:: 1.25 S= CN,=C2=A0UCD=C2=A0O'Brien Centre for Science (North)

content::=C2=A0= M=
iguel Bustamante (University College Dublin)=C2=A0will speak on

::=C2=A0Exac= t discrete resonances in the Fermi-Pasta-Ulam-Tsingou system<= /div>

=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D

UCD=C2=A0Applied=C2=A0&=C2=A0Computational=C2=A0Mathematics=C2=A0Semina= r=C2=A0=C2=A0=C2=A0=C2=A0

=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D

<=
font face=3D"arial, sans-serif" style=3D"font-size:12.800000190734863px">**Abstract:**

In systems of =
N coupled anharmonic oscillators, exact resonant interactions play an impor=
tant role in the energy exchange between normal modes. In the weakly nonlin=
ear regime, those interactions may facilitate energy equipartition in Fouri=
er space. We consider analytically resonant wave-wave interactions for the =
celebrated Fermi-Pasta-Ulam-Tsingou (FPUT) system. Using a number-theoretic=
al approach based on cyclotomic polynomials, we show that the problem of fi=
nding exact resonances for a system of N particles is equivalent to a Dioph=
antine equation whose solutions depend sensitively on the set of divisors o=
f N. We provide an algorithm to construct all possible resonances, based on=
two methods: pairing-off and cyclotomic, which we introduce to build up ex=
plicit solutions to the 4-, 5- and 6-wave resonant conditions. Our results =
shed some light in the understanding of the long-standing FPUT paradox, reg=
arding the sensitivity of the resonant manifolds with respect to the number=
of particles N and the corresponding time scale of the interactions leadin=
g to thermalisation. In this light we demonstrate that 6-wave resonances al=
ways exist for any N, while 5-wave resonances exist if N is divisible by 3 =
and N > 6. It is known (for finite N) that 4-wave resonances do not mix =
energy across the spectrum, so we investigate whether 5-wave resonances can=
produce energy mixing across a significant region of the Fourier spectrum =
by analysing the interconnected network of Fourier modes that can interact =
nonlinearly via resonances. The answer depends on the set of odd divisors o=
f N that are not divisible by 3: the size of this set determines the number=
of dynamically independent components, corresponding to independent consta=
nts of motion (energies). We show that 6-wave resonances connect all these =
independent components, providing in principle a restoring mechanism for fu=
ll-scale thermalisation. This work was done in collaboration with Kevin Hut=
chinson (UCD), Y. V. Lvov and M. Onorato.

Best wishes,

Barry Wardell=

date-time:: Monday 4th November 2019 at 1:00pm

location:: 1.25 S= CN,=C2=A0UCD=C2=A0O'Brien Centre for Science (North)

content::=C2=A0=

::=C2=A0Exac= t discrete resonances in the Fermi-Pasta-Ulam-Tsingou system<= /div>

endevent::

UCD School of Mathematics and Statistics - Seminar Notice

Speaker: ** Sigurd Assing (Warwick)
**

Title: **Extension Technique for Functions of Diffusion Operators: a stochastic approach
**

Date: Wed 20th November 2019

Time: 2:00PM

Location: Seminar Room SCN 1.25

Abstract: It has recently been shown that complete Bernstein functions of the Laplace operator map the Dirichlet boundary condition of a related elliptic PDE to the Neumann boundary condition. The importance of this mapping consists in being able to convert problems involving non-local operators, like fractional Laplacians, into ones that only involve differential operators. We generalise this result to diffusion operators associated with stochastic differential equations, using a method which is entirely based on stochastic analysis.

Further Information

-------------------------------------------------------------

For other seminars in the Probability series, click http://maths.ucd.ie/seminarseries/probability

-------------------------------------------------------------

The following formats the above notice so as to be included in the mathdep google calendar

title:: Extension Technique for Functions of Diffusion Operators: a stochastic approach

content:: Sigurd Assing (Warwick)

:: UCD Probability seminar (http://maths.ucd.ie/seminarseries/probability)

location:: Seminar Room SCN 1.25

date-time:: Wed 20th November 2019 at 2:00PM

Centre
for Astrophysics & Relativity

Speaker: Dr. Erik Curiel, Munich
Center for Mathematical Philosophy, LMU

Title: **What is the Einstein
Field Equation, and why does it matter
for Quantum Gravity?**=
**
**

h= ttps://www.dcu.ie/info/campus.shtml

John

--=20 Royal Society - SFI University Research Fellow Centre for Astrophysics and Relativity Dublin City University Twitter: jaregan

S=C3=A9anadh R=C3=ADomhphoist/Email Disclaimer=

T=C3=A1 an r=C3=ADomhphost seo agus a= on chomhad a sheoltar leis faoi r=C3=BAn agus is lena =C3=BAs=C3=A1id ag an= seola=C3=AD agus sin amh=C3=A1in =C3=A9. Is f=C3=A9idir tuilleadh a l= =C3=A9amh anseo.=C2=A0

This e-mail and any files transmitted with it are confidential and a= re intended solely for use by the addressee. Read more here.<= /span>=

--------------C19608D286F56210DD9BFB6A-- From owner-mathdep LISTSERV.HEANET.IE Wed Nov 6 12:50:44 2019 Return-Path:

Dear Colleagues

You are welcome to the following seminar:

**UCC****
Mathematics Seminar**

**Time and location:
**4-5pm, Tuesday 12 November 2019, =
WGB 304

**Speaker:=
**Eberhard Mayerhofer (University
of Limerick)

**Title: **

Three essays on = stopping

** **

**Abstract: **<=
/font>

This talk is on my article "Three essays on stopping "(https://arxiv.org/abs/1909.1= 3050), where the exponential distribution plays a crucial role, and where t= he focus is on particularly simple proofs of partly known facts. The audien= ce is only required to have a basic idea about scalar diffusion processes and compound Poisson processes. <= /p>

First, we give a closed-form formula for first passage time of a reflected Brownian motion with drift. = This modifies a formula by Perry et al (2004). Second, we characterize all = diffusion processes, where the maximum before a fixed draw-down is exponent= ially distributed. This complements the sufficient condition formulated by Lehoczky (1977). Third, we give a p= articularly simple proof for the fact that the maximum at a fixed drawdown = threshold is exponentially distributed for any spectrally negative L=E9vy p= rocess, a result due to Mijatovic and Pistorius (2012).

Best regards,

Spyros Dendrinos

UCD School of Mathematics and Statistics - Seminar Notice

Speaker: ** Ivan Todorov (QUB)
**

Title: **Capacity bounds for non-commutative graphs
**

Date: Tue 12th November 2019

Time: 3:00PM

Location: Seminar Room SCN 1.25

Abstract: Non-commutative graphs - or, equivalently, operator subsystems of matrix algebras - arise naturally in quantum information theory as confusability graphs of quantum channels and play an important role in questions about zero-error information transmission. As in the classical case, the computation of the Shannon capacity of a non-commutative graph is a difficult problem that leads to the need to introduce easier computable bounds. In this talk, I will summarise some recent developments in this direction. In particular, I will describe non-commutative versions of the vertex packing polytope, the theta convex body and the fractional vertex packing polytope of a graph, and discuss a quantum version of the Sandwich Theorem of Grotschel, Lovasz and Schrijver. This leads to new non-commutative versions of the Lovasz number of a graph and an upper bound of the zero-error capacity of the corresponding quantum channel that can be genuinely better than the one originally esta
blished by Duan, Severini and Winter. I will also discuss non-commutative counterparts of several other widely used classical graph parameters and their interrelation.

This is joint work with Gareth Boreland and Andreas Winter.

-------------------------------------------------------------

For other seminars in the Analysis series, click http://maths.ucd.ie/seminarseries/Analysis

-------------------------------------------------------------

The following formats the above notice so as to be included in the mathdep google calendar

title:: Capacity bounds for non-commutative graphs

content:: Ivan Todorov (QUB)

:: UCD Analysis seminar (http://maths.ucd.ie/seminarseries/Analysis)

location:: Seminar Room SCN 1.25

date-time:: Tue 12th November 2019 at 3:00PM

Dear All,

A permanent Foundation Research Lectureship in Applied Mathematics has=
recently been advertised at NUI Galway, in the area of soft tissue biomech=
anics. The deadline for applications is 10 December 2019. Please see "=
Academic Vacancies" at
www.n=
uigalway.ie/about-us/jobs for details. Informal queries about the post =
should be directed to Professor Michel Destrade (michel.destrade at nuigalw=
ay.ie).

Best wishes,

Rachel Quinlan.

Dr Rachel Quinlan

Head of School

School of Mathematics, Statistics and Applied Mathematics

National University of Ireland, Galway

Phone 091 493796

http://www.maths.nuigalway.ie/~rquinlan

2020 ILAS Conference in Galway http://www.ilas2020.ie

Dear =
Colleagues,

This=
email is to announce the next seminar of 2018 in the Trinity College =
Computational Applied Mathematics Seminar, which will take place on =
Thursday, 14. November at 2pm.

All are = welcome. Details of the seminar follow.

################################################

Speaker: Davide Pallita (Max Plank Institute, = Magdeburg, Germany)

Time: Thursday, 14. November at 2pm

Location: Viz Room, Lloyd Building, Trinity College Dublin

Title: Inexact Krylov methods for linear systems, matrix and tensor = equations

Abstract:

Sincerely,

Kirk = Soodhalter

################################################

Kirk M. Soodhalter

Ussher Assistant Professor = in Numerical Analysis

Trinity College Dublin

The University of Dublin

School of Mathematics =

ksoodha maths.tcd.ie

http://math.soodhalter.com

Phone: = +353-1-896 8515

School Fax: +353-1-896 2282

Skype: ksoodha

################################################

title:: Inexact Krylov methods for linear systems, matrix and tensor = equations

content:: Davide Pallita (Max Plank = Institute, Magdeburg, Germany) will discuss the rich, fascinating = convergence theory behind inexact Krylov methods for linear = systems

All are = welcome. Details of the seminar follow.

################################################

Speaker: Davide Pallita (Max Plank Institute, = Magdeburg, Germany)

Time: Thursday, 14. November at 2pm

Location: Viz Room, Lloyd Building, Trinity College Dublin

Title: Inexact Krylov methods for linear systems, matrix and tensor = equations

Abstract:

It is well-known that =
Krylov methods are able to efficiently solve very large and sparse =
linear systems of the form Ax=3Db. One of the core operations within =
such methods is the matrix-vector product Av. In the early 2000s, =
many authors were interested in studying how to maintain the =
well-established convergence properties of Krylov methods also in case =
of inexact matrix-vector products. Simoncini, Szyld, van den =
Eshof, Sleijpen, and other researchers showed that the convergence =
is preserved if the allowed "inexactness" fulfills certain =
conditions.

In this talk we review the rich, = fascinating convergence theory behind inexact Krylov methods for linear = systems and we illustrate how this framework can be exploited also to = show the convergence of another timely family of Krylov methods, = the so-called low-rank Krylov methods. The latter algorithms are one of = the few options available in the literature to solve large-scale, = multi-term linear matrix equations.

We briefly discuss the = extension of the proposed results to the solution of tensor equations as = well.

################################################<=
br class=3D"">In this talk we review the rich, = fascinating convergence theory behind inexact Krylov methods for linear = systems and we illustrate how this framework can be exploited also to = show the convergence of another timely family of Krylov methods, = the so-called low-rank Krylov methods. The latter algorithms are one of = the few options available in the literature to solve large-scale, = multi-term linear matrix equations.

We briefly discuss the = extension of the proposed results to the solution of tensor equations as = well.

Sincerely,

Kirk = Soodhalter

################################################

Kirk M. Soodhalter

Ussher Assistant Professor = in Numerical Analysis

Trinity College Dublin

The University of Dublin

School of Mathematics =

ksoodha maths.tcd.ie

http://math.soodhalter.com

Phone: = +353-1-896 8515

School Fax: +353-1-896 2282

Skype: ksoodha

################################################

title:: Inexact Krylov methods for linear systems, matrix and tensor = equations

content:: Davide Pallita (Max Plank = Institute, Magdeburg, Germany) will discuss the rich, fascinating = convergence theory behind inexact Krylov methods for linear = systems

:: and illustrate how this framework =
can be exploited also to show the convergence of another =
timely family of Krylov methods, the so-called low-rank Krylov =
methods.

:: The latter algorithms are one of =
the few options available in the literature to solve large-scale, =
multi-term linear matrix equations.

:: He will briefly discuss the =
extension of the proposed results to the solution of tensor equations as =
well.date-time:: 14th November 2019 at = 14:00

location:: Viz Room, Lloyd Building, Trinity = College Dublin

endevent::

Dear =
Colleagues,

Sorry; there were a couple of typos in the previous =
announcement.

This email is to announce the next seminar of 2019 in the =
Trinity College Computational Applied Mathematics Seminar, which will =
take place on Thursday, 14. November at 2pm.

All are welcome. Details of the seminar follow.

################################################

Speaker: Davide Pallita (Max Plank Institute, = Magdeburg, Germany)

Time: Thursday, 14. November at 2pm

Location: Viz Room, Lloyd Building, Trinity College Dublin

Title: Inexact Krylov methods for linear systems, matrix and tensor = equations

Abstract:

Sincerely,

Kirk = Soodhalter

################################################

Kirk M. Soodhalter

Ussher Assistant Professor = in Numerical Analysis

Trinity College Dublin

The University of Dublin

School of Mathematics =

ksoodha maths.tcd.ie

http://math.soodhalter.com

Phone: = +353-1-896 8515

School Fax: +353-1-896 2282

Skype: ksoodha

################################################

title:: Inexact Krylov methods for linear systems, matrix and tensor = equations

content:: Davide Pallita (Max Plank = Institute, Magdeburg, Germany) will discuss the rich, fascinating = convergence theory behind inexact Krylov methods for linear = systems

All are welcome. Details of the seminar follow.

################################################

Speaker: Davide Pallita (Max Plank Institute, = Magdeburg, Germany)

Time: Thursday, 14. November at 2pm

Location: Viz Room, Lloyd Building, Trinity College Dublin

Title: Inexact Krylov methods for linear systems, matrix and tensor = equations

Abstract:

It is well-known that =
Krylov methods are able to efficiently solve very large and sparse =
linear systems of the form Ax=3Db. One of the core operations within =
such methods is the matrix-vector product Av. In the early 2000s, =
many authors were interested in studying how to maintain the =
well-established convergence properties of Krylov methods also in case =
of inexact matrix-vector products. Simoncini, Szyld, van den =
Eshof, Sleijpen, and other researchers showed that the convergence =
is preserved if the allowed "inexactness" fulfills certain =
conditions.

In this talk we review the rich, = fascinating convergence theory behind inexact Krylov methods for linear = systems and we illustrate how this framework can be exploited also to = show the convergence of another timely family of Krylov methods, = the so-called low-rank Krylov methods. The latter algorithms are one of = the few options available in the literature to solve large-scale, = multi-term linear matrix equations.

We briefly discuss the = extension of the proposed results to the solution of tensor equations as = well.

################################################<=
br class=3D"">In this talk we review the rich, = fascinating convergence theory behind inexact Krylov methods for linear = systems and we illustrate how this framework can be exploited also to = show the convergence of another timely family of Krylov methods, = the so-called low-rank Krylov methods. The latter algorithms are one of = the few options available in the literature to solve large-scale, = multi-term linear matrix equations.

We briefly discuss the = extension of the proposed results to the solution of tensor equations as = well.

Sincerely,

Kirk = Soodhalter

################################################

Kirk M. Soodhalter

Ussher Assistant Professor = in Numerical Analysis

Trinity College Dublin

The University of Dublin

School of Mathematics =

ksoodha maths.tcd.ie

http://math.soodhalter.com

Phone: = +353-1-896 8515

School Fax: +353-1-896 2282

Skype: ksoodha

################################################

title:: Inexact Krylov methods for linear systems, matrix and tensor = equations

content:: Davide Pallita (Max Plank = Institute, Magdeburg, Germany) will discuss the rich, fascinating = convergence theory behind inexact Krylov methods for linear = systems

:: and illustrate how this framework =
can be exploited also to show the convergence of another =
timely family of Krylov methods, the so-called low-rank Krylov =
methods.

:: The latter algorithms are one of =
the few options available in the literature to solve large-scale, =
multi-term linear matrix equations.

:: He will briefly discuss the =
extension of the proposed results to the solution of tensor equations as =
well.date-time:: 14th November 2019 at = 14:00

location:: Viz Room, Lloyd Building, Trinity = College Dublin

endevent::

<=
font size=3D"-1">The next=C2=
=A0seminar=
=C2=A0in the=C2=A0UCD=C2=A0Applied=C2=A0and=
=C2=A0Computational=C2=A0Maths=C2=A0Seminar=C2=A0Series <http:=
//maths.ucd.ie/ACMSeminars/> will take place on Monday, 11th November at 1pm.

Coffee, tea & biscuits will be available in t= he School of=C2=A0Mathematics=C2=A0& Statistics common room, ground flo= or,=C2=A0UCD=C2=A0O'Brien Centre for Science (North)=C2=A0beforehand.

The generalized Riemann problem (GRP) is the Cauchy pr=
oblem for a hyperbolic conservation law with piecewise smooth data that inc=
ludes a jump-discontinuity. We are mainly interested in solving the GRP as =
a building block for high order numerical schemes. In a finite volume schem=
e with a reconstruction step, or in a discontinuous Galerkin finite element=
method, the solution of the PDE is represented at each time-step by a piec=
ewise smooth function with possible jumps at the cell interfaces.

**In general, no exact solutions of the GRP for nonlinear systems are=
available. Approximate GRP solvers typically employ one of the following s=
trategies: (1) "Instantaneous interaction", which roughly speakin=
g leads to a Taylor approximation of the solution; or (2) "Evolution i=
n the small", which means evolving the solution locally in each cell a=
nd computing numerical fluxes from the evolved data without resolving the f=
ull wave-pattern of the GRP. Recently, approach (2) gained in popularity, b=
ecause it is a lot easier to code and can be adapted to handle stiff source=
terms more easily. However, a systematic comparison of the two approaches =
and a rigorous analysis of its theoretical properties seem to be missing in=
the literature. Our aim is to contribute a first step towards closing this=
gap.**

In this talk we give a short introduction to the theo=
ry of both classical and generalized Riemann problems, see different GRP so=
lver in action, and take a closer look at what evolution in the small solve=
rs are actually trying to compute from an analytical perspective.

**=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D**

Coffee, tea & biscuits will be available in t= he School of=C2=A0Mathematics=C2=A0& Statistics common room, ground flo= or,=C2=A0UCD=C2=A0O'Brien Centre for Science (North)=C2=A0beforehand.

All are welcome. Details of the=C2=A0seminar=C2=A0follow.

=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D

UCD=C2=A0Applied=C2=A0&=C2=A0Computational=C2=A0Mathematics= =C2=A0Seminar=C2=A0=C2=A0=C2=A0=C2=A0

=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D<= /span>

**Speaker:=C2=A0**Claus Goetz (University of Hamburg)

**Time:**=C2=A0Monday, 11th Nove=
mber 2019 at 1pm

**Location:=C2=A01.25 SCN,=C2=A0UCD=C2=A0O'Brien Centre for Sci=
ence (North)**

**Title:**=C2=A0How do we sol=
ve piecewise smooth initial value problems?

**Abstract:**

=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D

UCD=C2=A0Applied=C2=A0&=C2=A0Computational=C2=A0Mathematics= =C2=A0Seminar=C2=A0=C2=A0=C2=A0=C2=A0

=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D<= /span>

Best wishes,

Barry Wardell

title::= =C2=A0UCD=C2=A0ACM=C2=A0Seminar

date-tim= e:: Monday 11th November 2019 at 1:00pm

location:: 1.25 SCN,=C2=A0UCD=C2= =A0O'Brien Centre for Science (North)

content::=C2=A0Claus Goetz (University of Hamburg)=C2=A0will speak on

::=C2=A0How = do we solve piecewise smooth initial value problems?

title:: UCD Alg=
ebra and Number Theory Seminar

content:: Takamichi Sano (London/Osaka)= =C2=A0will speak on

:: The Tamagawa Number Conjecture and Iwasawa Theory=

date-time:: Thursday,=C2=A0November 14, 2019 at 2:00pm

content:: Takamichi Sano (London/Osaka)= =C2=A0will speak on

:: The Tamagawa Number Conjecture and Iwasawa Theory=

date-time:: Thursday,=C2=A0November 14, 2019 at 2:00pm

locati=
on::=C2=A0Roo=
m 1.25, O=E2=80=99Brien Centre for Science (North)

endevent::

endevent::

Dear colleagues,

Next week's Mathematics and Statistics Colloquium will take place at **3pm=
on Wednesday, November 13th** in MS2 on the top floor of Logic House on =
the South Campus of Maynooth University**.
**Details are given below and all are welcome.

Very best wishes,

Ollie.

---------------------------------------------------------------------------=
----------------------------------------------------------

A di=
rected graph G is primitive if there is a positive integer k with the prope=
rty that whenever u and v are vertices of the graph, there is a walk of len=
gth k from u to v in G. Equivalently,
a non-negative square matrix A is primitive if there is a positive integer=
k for which all entries of A^k are positive. In both cases, the minimum su=
ch k is referred to as the exponent (of the graph or matrix). This talk wil=
l review some properties of primitive
graphs and classical results about the range of possible exponents of a gr=
aph of order n, and also consider the class of minimally primitive graphs, =
which are primitive graphs that become imprimitive upon the deletion of any=
arc.

Dea= r All,

We w= ill have a seminar Thursday (Nov 14) at 4pm in ADB1020.

Coffee/tea/cakes/biscuits will be served in ADB-G022 from 3:30.

=C2= =A0

Haro= ld Berjamin

from= NUIG

will= speak on

=C2= =A0

=E2= =80=9CModelling wave propagation in solid materials with memory=E2=80=9D

Abst= ract: =C2=A0Dissipation is an important aspect of the mechanical behaviour of solid materials. In particular, an accurate mathematical description of dissipation is crucial = in computational acoustics, non-destructive testing, and seismology. Most of t= he nonlinear viscoelasticity theories are either based on convolution products= or on memory variables. In this framework, strain- or stress-like variables of state are introduced to account for memory effects. However, such models of viscoelastic behaviour are not sufficient to describe the response of vario= us geomaterials (rocks, concrete), for which long-time relaxation effects call= ed slow dynamics are observed. Including several numerical examples, the presentation covers classical nonlinear viscoelasticity theories, as well a= s modifications to account for slow dynamics.

=C2=A0

=C2= =A0

Cont= act: =C2=A0Michel Destrade

=C2= =A0

Hopi= ng to see you all there,

=C2= =A0

Haix= uan and Michael

=C2= =A0

Futu= re seminars are listed at=C2=A0http://www.nuigalway.ie/science/school-of-maths/s= eminars/

Dear colleagues,

We will have Mathematical Finance semi= nar on Friday (15th November).

Everybody welcome,

Ryan

title::= DCU Math Finance (Giorgio Ferrari, Bielefeld University)

content:: Titl= e of talk: Nonzero-Sum Submodular Monotone-Follower Games: Existence and Ap= proximation of Nash Equilibria

:: We consider a class of N-player stocha= stic games of multi-dimensional singular control, in which each player face= s

:: a minimization problem of monotone-follower type with submodular co= sts.

:: We call these games "monotone-follower games".

::= In a not necessarily Markovian setting, we establish the existence of Nash= equilibria.

:: Moreover, we introduce a sequence of approximating game= s by restricting, for each natural n, the players' admissible strategie= s

:: to the set of Lipschitz =C2=A0processes with Lipschitz constant bou= nded by n.

:: We prove that, for each natural n, there exists a Nash eq= uilibrium of the approximating game and that the sequence of Nash equilibri= a

:: converges, in the Meyer-Zheng sense, to a weak (distributional) Nas= h equilibrium of the original game of singular control.

:: As a byprodu= ct, such a convergence also provides approximation results of the equilibri= um values across the two classes of games.

:: We finally show how our re= sults can be employed to prove existence of open-loop Nash equilibria in

:: an N-player stochastic differential game with singular controls, and we= propose an algorithm to determine a Nash equilibrium for

:: the monoton= e-follower game. =C2=A0

:: This is based on a =C2=A0joint work with Jodi= Dianetti. =C2=A0

date-time:: 15th November at 11:00am

location:: DCU= Nursing building, HG06

--

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Date: Mon, 11 Nov 2019 13:54:17 +0000
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Subject: DCU maths colloquium
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*Speaker*: David Wraith (Maynooth)
*Title*: Non-negative versus positive scalar curvature
*Abstract*: In this talk we will provide an introduction to aspects of
Riemannian geometry related to positive scalar curvature. We will also
discuss some new results (joint with Thomas Schick) which compare positive
with non-negative scalar curvature.
*Location*: Wednesday, November 13, 2019 at 3pm in XG20, DCU
title:: DCU Maths Colloquium
content:: David Wraith (Maynooth) will speak on
:: Non-negative versus positive scalar curvature
date-time:: Wednesday 13th November, 2019 at 3pm
location:: XG20, DCU
endevent:
--=20
*
*S=C3=A9anadh R=C3=ADomhphoist/Email Disclaimer*
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ola=C3=AD agus sin=20
amh=C3=A1in =C3=A9. Is f=C3=A9idir tuilleadh a l=C3=A9amh anseo.=C2=A0=20
*
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**Speaker**: David Wraith (Maynooth)

**Title**:=C2=A0Non-nega=
tive versus positive scalar curvature

**Location**:=C2=A0Wednesday, November 13, 2019 at 3pm in XG20, DCU=C2=
=A0=C2=A0=

--0000000000005c793b05971278d7-- From owner-mathdep LISTSERV.HEANET.IE Mon Nov 11 15:39:26 2019 Return-Path:
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Date: Mon, 11 Nov 2019 15:39:00 +0000
Reply-To: =?UTF-8?Q?Sin=c3=a9ad_Ryan?=
Sender: UCD Maths Department Distribution List
From: =?UTF-8?Q?Sin=c3=a9ad_Ryan?=
Subject: maths: sad news
To: MATHDEP LISTSERV.HEANET.IE
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Dear Colleagues,
It is with great sadness that I am writing to let you know that our
friend and colleague for many years in Trinity, Donal O'Donovan died
unexpectedly on Saturday (9th) after a heart attack.
Ar dheis Dé go raibh a ainm dílis.
Sinéad
--
----------------------------------------------------------
Prof Sinéad Ryan
School of Mathematics, Email: ryan maths.tcd.ie
Trinity College, URL: http://www.maths.tcd.ie/~ryan
Dublin 2 Tel: +353-1-896 1267
Ireland FAX: +353-1-896 2282
-----------------------------------------------------------
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Date: Tue, 12 Nov 2019 10:48:34 +0000
Reply-To: Andrei Parnachev
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From: Andrei Parnachev
Subject: maths: Dublin Theoretical Physics Colloquium November 13
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--000000000000f1f013059723fe50
Content-Type: text/plain; charset="UTF-8"
Dublin Theoretical Physics Colloquium
Time: Wednesday, 13th of November at 16:00 p.m.
Location: Synge Theatre, Hamilton Building, TCD
Speaker: Rodolfo Russo (Queen Mary)
Title: "Describing black hole microstates with AdS3 holography"
Abstract:
The AdS3/CFT2 duality provides a powerful tool to study the microstates of
extremal supersymmetric black holes. I will first review the main
ingredients relevant to the prototypical case of the
Stromnger-Vafa black hole. Then I will discuss how to construct 4-point
holographic correlators and how to read from them some observables relevant
in the study of black hole microstates.
All are welcome!
title:: Dublin Theoretical Physics Colloquium
content:: Rodolfo Russo (Queen Mary) will speak on
:: Describing black hole microstates with AdS3 holography
date-time:: Wednesday the 13th of November at 16:00pm
location:: Synge Theatre, Hamilton Building, Trinity College Dublin
endevent::
--000000000000f1f013059723fe50
Content-Type: text/html; charset="UTF-8"
Content-Transfer-Encoding: quoted-printable

All are welcome!

titl= e::=C2=A0Dublin=C2=A0Theoretical=C2=A0Physics=C2=A0Collo= quium

content::=C2=A0Rodolfo Russo (Queen Mary)=C2=A0w= ill speak on=

--000000000000f1f013059723fe50--
From owner-mathdep LISTSERV.HEANET.IE Tue Nov 12 11:06:40 2019
Return-Path: We will have Mathematical Finance semi= nar on Friday (15th November).

Everybody welcome,

Ryan

title::= DCU Math Finance (Giorgio Ferrari, Bielefeld University)

content:: Titl= e of talk: Nonzero-Sum Submodular Monotone-Follower Games: Existence and Ap= proximation of Nash Equilibria

:: We consider a class of N-player stocha= stic games of multi-dimensional singular control, in which each player face= s

:: a minimization problem of monotone-follower type with submodular co= sts.

:: We call these games "monotone-follower games".

::= In a not necessarily Markovian setting, we establish the existence of Nash= equilibria.

:: Moreover, we introduce a sequence of approximating game= s by restricting, for each natural n, the players' admissible strategie= s

:: to the set of Lipschitz =C2=A0processes with Lipschitz constant bou= nded by n.

:: We prove that, for each natural n, there exists a Nash eq= uilibrium of the approximating game and that the sequence of Nash equilibri= a

:: converges, in the Meyer-Zheng sense, to a weak (distributional) Nas= h equilibrium of the original game of singular control.

:: As a byprodu= ct, such a convergence also provides approximation results of the equilibri= um values across the two classes of games.

:: We finally show how our re= sults can be employed to prove existence of open-loop Nash equilibria in

:: an N-player stochastic differential game with singular controls, and we= propose an algorithm to determine a Nash equilibrium for

:: the monoton= e-follower game. =C2=A0

:: This is based on a =C2=A0joint work with Jodi= Dianetti. =C2=A0

date-time:: 15th November at 11:00am

location:: DCU= Nursing building, HG06

--

Kwok Chuen Wo=
ng, Ryan

Assistant Professor in = Financial Mathematics

School of = Mathematical Sciences, Dublin City University

Email: kwokchuen.wong dcu.ieAssistant Professor in = Financial Mathematics

School of = Mathematical Sciences, Dublin City University

X136, Lo=
nsdale Building, Dublin City Univers=
ity, Glasnevin, Dublin 9, Ireland

Tel: +353 1 7005291

S=C3=A9anadh R=C3=ADomhphoist/Email Disclaimer=

T=C3=A1 an r=C3=ADomhphost seo agus a= on chomhad a sheoltar leis faoi r=C3=BAn agus is lena =C3=BAs=C3=A1id ag an= seola=C3=AD agus sin amh=C3=A1in =C3=A9. Is f=C3=A9idir tuilleadh a l= =C3=A9amh anseo.=C2=A0

This e-mail and any files transmitted with it are confidential and a= re intended solely for use by the addressee. Read more here.<= /span>=

--000000000000fe98d105971124b2-- From owner-mathdep LISTSERV.HEANET.IE Mon Nov 11 13:54:43 2019 Return-Path:

**Abstract**:=C2=A0

title:: DCU Maths Col=
loquium

content::=C2=A0=C2=A0David Wraith (Maynooth) will speak o=
n

::=C2=A0 =C2=A0 =C2=A0=C2=A0=20
Non-negative versus positive scalar curvature

date-time:: Wednesday 13th=
November, 2019 at 3pm

location:: XG20, DCU

endevent:

S=C3=A9anadh R=C3=ADomhphoist/Email Disclaimer=

T=C3=A1 an r=C3=ADomhphost seo agus a= on chomhad a sheoltar leis faoi r=C3=BAn agus is lena =C3=BAs=C3=A1id ag an= seola=C3=AD agus sin amh=C3=A1in =C3=A9. Is f=C3=A9idir tuilleadh a l= =C3=A9amh anseo.=C2=A0

This e-mail and any files transmitted with it are confidential and a= re intended solely for use by the addressee. Read more here.<= /span>=

--0000000000005c793b05971278d7-- From owner-mathdep LISTSERV.HEANET.IE Mon Nov 11 15:39:26 2019 Return-Path:

Dublin=C2=A0Theoretical=C2=A0=
Physics=C2=A0Colloquium

Time: Wednesday, 13th of November at = 16:00 p.m.

Location:=C2=A0Synge=C2=A0Theatre, Hamilton Building, TCD=

Time: Wednesday, 13th of November at = 16:00 p.m.

Location:=C2=A0Synge=C2=A0Theatre, Hamilton Building, TCD=

Speaker=
: Rodolfo Russo (Queen Mary)

Title: &q=
uot;Describ=
ing black hole microstates with AdS3 holography"

Abstract:=C2=A0

The AdS3/CFT2 duality prov= ides a powerful tool to study the=C2=A0 microstates of extremal supersymmet= ric black holes. I will first review the main ingredients relevant to the p= rototypical case of the=C2=A0

<= span style=3D"font-size:11pt;font-family:Arial;color:rgb(34,34,34);backgrou= nd-color:rgb(255,255,255);font-weight:400;font-style:normal;font-variant-li= gatures:normal;font-variant-caps:normal;font-variant-east-asian:normal;text= -decoration:none;vertical-align:baseline;white-space:pre-wrap">Stromnger-Va= fa black hole. Then I will discuss how to construct 4-point holographic cor= relators and how to read from them some observables relevant in the study o= f black hole microstates.

All are welcome!

titl= e::=C2=A0Dublin=C2=A0Theoretical=C2=A0Physics=C2=A0Collo= quium

content::=C2=A0Rodolfo Russo (Queen Mary)=C2=A0w= ill speak on

::=C2=A0Describing black hole micr=
ostates with AdS3 holography

date-time::=C2=A0 Wednesday t= he 13th of November at 16:00pm

location::=C2=A0Synge= =C2=A0Theatre, Hamilton B= uilding, Trinity College=C2=A0Dublin

endevent::

date-time::=C2=A0 Wednesday t= he 13th of November at 16:00pm

location::=C2=A0Synge= =C2=A0Theatre, Hamilton B= uilding, Trinity College=C2=A0Dublin

endevent::

Dear =
Colleagues,

Due =
to unforeseen circumstances, we are rescheduling the Trinity =
College Computational Applied Mathematics Seminar seminar: the seminar =
is being moved to this Friday. The full announcement follows.

This email is to =
announce the next seminar of 2019 in the Trinity College Computational =
Applied Mathematics Seminar, which will take place on Friday, 15. =
November at 10am.

All are welcome. = Details of the seminar follow.

################################################

Speaker: Davide Pallita (Max Plank Institute, = Magdeburg, Germany)

Time: Friday, 15. November at 10am

Location: Viz Room, Lloyd Building, Trinity College Dublin

Title: Inexact Krylov methods for linear systems, matrix and tensor = equations

Abstract:

Sincerely,

Kirk = Soodhalter

################################################

Kirk M. Soodhalter

Ussher Assistant Professor = in Numerical Analysis

Trinity College Dublin

The University of Dublin

School of Mathematics =

ksoodha maths.tcd.ie

http://math.soodhalter.com

Phone: = +353-1-896 8515

School Fax: +353-1-896 2282

Skype: ksoodha

################################################

title:: Inexact Krylov methods for linear systems, matrix and tensor = equations

content:: Davide Pallita (Max Plank = Institute, Magdeburg, Germany) will discuss the rich, fascinating = convergence theory behind inexact Krylov methods for linear = systems

All are welcome. = Details of the seminar follow.

################################################

Speaker: Davide Pallita (Max Plank Institute, = Magdeburg, Germany)

Time: Friday, 15. November at 10am

Location: Viz Room, Lloyd Building, Trinity College Dublin

Title: Inexact Krylov methods for linear systems, matrix and tensor = equations

Abstract:

It is well-known that =
Krylov methods are able to efficiently solve very large and sparse =
linear systems of the form Ax=3Db. One of the core operations within =
such methods is the matrix-vector product Av. In the early 2000s, =
many authors were interested in studying how to maintain the =
well-established convergence properties of Krylov methods also in case =
of inexact matrix-vector products. Simoncini, Szyld, van den =
Eshof, Sleijpen, and other researchers showed that the convergence =
is preserved if the allowed "inexactness" fulfills certain =
conditions.

In this talk we review the rich, = fascinating convergence theory behind inexact Krylov methods for linear = systems and we illustrate how this framework can be exploited also to = show the convergence of another timely family of Krylov methods, = the so-called low-rank Krylov methods. The latter algorithms are one of = the few options available in the literature to solve large-scale, = multi-term linear matrix equations.

We briefly discuss the = extension of the proposed results to the solution of tensor equations as = well.

################################################<=
br class=3D"">In this talk we review the rich, = fascinating convergence theory behind inexact Krylov methods for linear = systems and we illustrate how this framework can be exploited also to = show the convergence of another timely family of Krylov methods, = the so-called low-rank Krylov methods. The latter algorithms are one of = the few options available in the literature to solve large-scale, = multi-term linear matrix equations.

We briefly discuss the = extension of the proposed results to the solution of tensor equations as = well.

Sincerely,

Kirk = Soodhalter

################################################

Kirk M. Soodhalter

Ussher Assistant Professor = in Numerical Analysis

Trinity College Dublin

The University of Dublin

School of Mathematics =

ksoodha maths.tcd.ie

http://math.soodhalter.com

Phone: = +353-1-896 8515

School Fax: +353-1-896 2282

Skype: ksoodha

################################################

title:: Inexact Krylov methods for linear systems, matrix and tensor = equations

content:: Davide Pallita (Max Plank = Institute, Magdeburg, Germany) will discuss the rich, fascinating = convergence theory behind inexact Krylov methods for linear = systems

:: and illustrate how this framework =
can be exploited also to show the convergence of another =
timely family of Krylov methods, the so-called low-rank Krylov =
methods.

:: The latter algorithms are one of =
the few options available in the literature to solve large-scale, =
multi-term linear matrix equations.

:: He will briefly discuss the =
extension of the proposed results to the solution of tensor equations as =
well.date-time:: 15th November 2019 at = 10:00

location:: Viz Room, Lloyd Building, Trinity = College Dublin

endevent::

Tuesday 19th November 2019=C2=A0 at 3.00pm=C2=A0 (pla=
ce: UCD=C2=A0 Science North 125 )

Speaker:=C2=A0 S=
. Gardiner

Title:
Harmonic extension from the exterior of a cylinder I

= =C2=A0

Abstract:=C2=A0
Let h be a harmonic function on an annular cylinder. It was

recently shown that, if h vanishes on the outer cylindrical boundary

component, then it has a harmonic extension to a larger annular cylinder**
formed by radial reflection. This talk will show that a different kind **

of extension result holds if h instead vanishes on the inner boundary

component. (This is joint work with Hermann Render.)

recently shown that, if h vanishes on the outer cylindrical boundary

component, then it has a harmonic extension to a larger annular cylinder

of extension result holds if h instead vanishes on the inner boundary

component. (This is joint work with Hermann Render.)

= =C2=A0

Tuesday 19th November 2019=C2=A0 at 4.20pm=C2=A0 (place: UCD=C2=A0 Sci=
ence North 125 )

Speaker:=C2=A0 Vassiliki Evd=
oridou (The Open University)

Title: Classifying simply connected wandering domains

=C2=A0

Abstract: Let f be a transcendental entire function and U be a connected component of the Fatou set of f. If U is not eventually periodic then it is called a wandering domain. Sullivan's celebrated result showed that rational= =20 functions have no wandering domains. Contrary to rational functions,=20 transcendental entire functions can have wandering domains, simply or=20 multiply connected. A few years ago, a detailed description of the dynamical behaviour in multiply connected wandering=20 domains was given by Bergweiler, Rippon and Stallard, which leaves open=20 the case of simply connected wandering domains.=C2=A0 In this talk we give= =20 two different ways of classifying simply connected wandering domains,=C2=A0in terms of the hyperbolic distances=C2=A0between iterates and also in terms of the behaviour of orbits in relat= ion to the boundaries of the wandering domains. T= hese two=20 classification theorems combined give rise to nine different types of=20 simply connected wandering domains. We discuss the result which is based on approximation theory and allows us to construct examples of all nine types.Thi=
s is joint work with A.-M. Benini, N.=20
Fagella, P. Rippon and G. Stallard.

location:: UCD=C2=A0 Science North 125

=C2=A0

title:: ANALYSIS SEMINAR

content:: S. Gardiner=C2=A0 will speak on
::=C2=A0=C2=A0 Harmonic extension from the exterior of a cylinder I <=
/span>

date-time:: Tuesday 19th=C2=A0 November, 2019=C2=A0 at 3.00pm location:: UCD=C2=A0 Science North 125

endevent::=C2=A0

title:: ANALYSIS SEMINAR

content::=C2=A0 Vassiliki Evdoridou will speak on
::=C2=A0=C2=A0 Classifying simply connected wandering domains<=
/div>
date-time:: Tuesday 19th=C2=A0 November, 2019=C2=A0 at 4.20pm

location:: UCD=C2=A0 Science North 125

endevent:

location:: UCD=C2=A0 Science North 125

endevent:

Dear Colleagues,

--_000_DB7PR02MB415635BD8488194DBDFD625ABA760DB7PR02MB4156eurp_--
From owner-mathdep LISTSERV.HEANET.IE Thu Nov 14 08:20:13 2019
Return-Path: <= /span>

You are= welcome to the following seminar:

<= /span>

**UCC****
Mathematics Seminar**

<= /span>

**Time=
and location:
**4-5pm, Tuesday 19 November 2019, WGB 405

<= /span>

**Speak=
er: **=
Dmitri
Zaitsev (Trinity College Dublin)

**
**

**Title:
**

Effectiveness of multiplier idea= l sheaves and triangular resolutions of singularities of holomorphic maps

**&nbs=
p;**

**Abstract:**<=
/font>

Multiplier ideals have been invented by Kohn as one of very few known bridges connect= ing singularities in PDE systems with those in geometry. However, effective= control of the parameters in the PDE estimates via geometric invariants re= mains a major open problem.

In my recent work with Sung Yeon Kim, we propose a new purely geometric tool of triangu= lar resolutions that allows to control effectiveness by means of a ne= w set of geometric complexity invariants in terms of intersection multiplic= ities arising in our resolutions.

Best regards,

Spyros Dendrinos

noemail::

title::=C2=A0UCD=C2=A0COLLOQUIUM=C2=A0SERIES**content:: =C2=A0Professor=C2=A0=C2=A0VLADIMIR DOKCHITSER=C2=A0=
(University College London, UK) will speak on**

::=C2=A0 =C2=A0 Ranks=C2=A0 of elliptic curves

date-time::=C2=A0Tu= esday 26th=C2=A0 November, 2019=C2=A0 at 12.00=C2=A0

location= ::=C2=A0UCD=C2=A0=C2=A0Science North 125

date-time::=C2=A0Tu= esday 26th=C2=A0 November, 2019=C2=A0 at 12.00=C2=A0

location= ::=C2=A0UCD=C2=A0=C2=A0Science North 125

endevent::=

Dr Hermann Render

University College Dublin=C2=A0

<=
/div>

School of=
Mathematics and Statistics

Dublin, Ireland

Dear All,

=C2=A0

To celebrate the bicentennial anniversary of the bir= th of George Gabriel Stokes (1819-1903) in Skreen, County Sligo,

the **4th Annual Irish Mathematical Society Christm=
as Lecture** will be given as a public lecture by

=C2=A0

**Professor Alastair Wood (Emeritus DCU) **

**in the Aurivo Theatre of Sligo Institute of Techn=
ology**

**on Friday December 6th at 1pm.**

=C2=A0

Professor Wood will speak on **'George Gabriel Sto=
kes: Life, Science and Faith'.**

=C2=A0

**Biographical Note: **Alastair
Wood is an Emeritus Professor of Mathematics in Dublin City University.
His main research areas of asymptotic analysis and differential=20
equations, where Stokes made
major contributions, led him to a deeper appreciation of the man and=20
his legacy. With Michael Berry he organised the Stokes Summer Schools in
Skreen from 1998 to 2004. Since his retirement from DCU in 2003 he has=20
been working on the Stokes book project from
his home in the Pyren=C3=A9es-Orientales.

** Abstract of Lecture:**=C2=A0
One of the greatest nineteenth century mathematical physicists, George=20
Gabriel Stokes was born in Skreen Rectory, County Sligo on August 13th=20
1819. He went on to become a distinguished academic and public servant,=20
spent a record 53 years as Lucasian Professor
at Cambridge University (the most famous mathematical chair in the UK,=20
occupied amongst others by Isaac Newton and Stephen Hawking), was=20
President of the Royal Society and created a baronet by Queen Victoria. A
plethora of theorems, laws, principles and conjectures
have been named after Stokes and his contributions to continuum=20
mechanics, optics and mathematical analysis made him at least the equal=20
of many better known contemporaries.=C2=A0 Stokes was a remarkable scientis=
t=20
who lived in an equally remarkable age of discovery
and innovation.

=C2=A0

Regards,

=C2=A0

Pauline.

=C2=A0

Pauline Mellon, President of Irish Mathematical Soci=
ety,

Associate Professor, School of Mathematics and Statistics,

University College Dublin.

noemail::

title::=C2=
=A0UCD=C2=A0COLLOQUIUM=C2=A0SERIES

content:: P= rofessor=C2=A0=C2=A0VLADIMIR DOKCHITSER=C2=A0 (University Colleg= e London, UK) will speak on

content:: P= rofessor=C2=A0=C2=A0VLADIMIR DOKCHITSER=C2=A0 (University Colleg= e London, UK) will speak on

::=C2=A0 Ranks=C2=A0 of elliptic curv=
es

date-time::=C2=A0Tuesday 26th=C2=A0 November, 2019=C2=A0 a= t 12.00=C2=A0

location::=C2=A0UCD=C2=A0=C2=A0Science North = 125

date-time::=C2=A0Tuesday 26th=C2=A0 November, 2019=C2=A0 a= t 12.00=C2=A0

location::=C2=A0UCD=C2=A0=C2=A0Science North = 125

endevent::

--

Dr Hermann Render

University College Dublin=C2=A0

School of Ma=
thematics and Statistics

Dublin, Ireland

=C2=A0

=C2=A0
=C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0=C2=A0**UCD School of
Mathematics and Statistics=C2=A0Colloquium Series=C2=A0 **

=C2=A0

Dear All=C2=A0

=C2=A0

The School of Mathemati= cs and Statistics cordially invites you to the following talk

in our=C2=A0

=C2=A0

**SPEAKER:=C2=A0 =C2=A0<=
/span>**Professor =C2=A0Vladimir Dokchitser

=C2=A0=C2=A0=C2=A0=C2=A0= =C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2= =A0=C2=A0=C2=A0=C2=A0=C2=A0 (University College London, UK) =C2=A0

=C2=A0=C2=A0=C2=A0=C2= =A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0= =C2=A0=C2=A0=C2=A0=C2=A0=C2=A0

=C2=A0 =C2=A0 =C2=A0 =C2= =A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2= =A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0

**TITLE:=C2=
=A0 **Ranks
of elliptic curves=C2=A0

=C2=A0

**TIME=C2=A0**:=C2=A0Tuesday 26^{th}=C2=A0 November=C2=A0=
2019 ,=C2=A0
12.00=E2=80=9412.50 =C2=A0

=C2=A0

**LOCATION=C2=A0<=
/b>:=C2=A0=C2=A0=C2=A0Room=C2=A0 N1.25 North Science =C2=A0(O'Brien Cen=
tre), UCD=C2=A0**

=C2=A0

=C2=A0

**COFFEE MEETING=C2=A0**:=C2=A0=C2=A0=C2=A0=C2=A0Common
Room, from 11.00=E2=80=9412.00=C2=A0

=C2=A0

=C2=A0

ABSTRACT=C2=
=A0: =C2=A0 **<=
span lang=3D"EN-IE" style=3D"font-size:10.5pt;line-height:115%;font-family:=
Helvetica,sans-serif;color:rgb(51,51,51);background-image:initial;backgroun=
d-position:initial;background-size:initial;background-repeat:initial;backgr=
ound-origin:initial;background-clip:initial">=C2=A0**~~I will discuss elliptic curves from the classical number t=
heoretic point
of view of trying to solve Diophantine equations. The aim will be both to
explain how we think about these creatures and to give an overview of what =
we
can (and sometimes can't) prove about them, and to illustrate it with e=
xplicit
examples. I will not try to describe the huge modern technical machine that=
has
been developed to study elliptic curves, so most of the results will come a=
s
black boxes.~~

Dr Hermann Render

=
University College Dublin=C2=A0

School of Mathematics and Statistic=
s

Dublin, Ireland

title:: UCD Algebra and Number Theory Semi=
nar

content:: Daniela M=C3=BCller (UCD)=C2=A0will speak on

:: Some re= sults on Linearized Trinomials that split completely

date-time:: Thursda= y,=C2=A0November 21, 2019 at 2:00pm

content:: Daniela M=C3=BCller (UCD)=C2=A0will speak on

:: Some re= sults on Linearized Trinomials that split completely

date-time:: Thursda= y,=C2=A0November 21, 2019 at 2:00pm

location::=C2=A0Room 1.25, O=E2=80=99Bri=
en Centre for Science (North)

endevent::

endevent::

Dear colleagues,

Very best wishes,

Ollie.

----------------------------------------------------------------------=
---------------------------------------------------------------------------=
---------------------------------------

I will begin by explaining what it means to quantise probability theory, =
and why anyone would want to do such a thing. I=92ll
then describe evolutions of first closed and then open quantum systems, ex=
plaining the important distinctions between these two cases. Certain classe=
s of quantum stochastic processes model the latter class of evolution. I=92=
ll explain how these processes can
be viewed as perturbations of more well-known one-parameter semigroups, an=
d how such semigroups can be used to both understand these processes, as we=
ll as provide a means to prove existence results for them.