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Talk

Talks and seminars, possibly part of a conference or series.

Enumerative geometry, matrix models and universality classes via topological recursion

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Speaker: 
Elba Garcia Failde
Affiliation: 
MPIM
Date: 
Thu, 2018-10-11 09:00 - 11:00
Location: 
MPIM Lecture Hall
Parent event: 
Promotionskolloquium

First discussions

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Date: 
Tue, 2018-09-25 16:30 - 17:30
Location: 
MPIM Seminar Room

The ideal theorem, and Dedekind zeta functions on the critical line

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Speaker: 
Simon Myerson
Affiliation: 
University College London/MPIM
Date: 
Wed, 2018-09-26 16:30 - 17:30
Location: 
MPIM Lecture Hall

We give a new second moment estimate for the Dedekind zeta function on the critical line. As an application, we improve the error term in the counting theorem for integral ideals of norm $\leq x$ in a fixed number field $K$. This is joint work with Roger Baker.

tba

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Speaker: 
Gavril Farkas
Affiliation: 
HU Berlin
Date: 
Thu, 2018-11-15 10:30 - 12:00
Location: 
MPIM Lecture Hall

tba

Posted in
Speaker: 
Emanuele Macri
Affiliation: 
Northeastern University
Date: 
Thu, 2018-10-18 10:30 - 12:00
Location: 
MPIM Lecture Hall

tba

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Speaker: 
Roberto Svaldi
Affiliation: 
Cambridge
Date: 
Thu, 2018-10-11 11:30 - 13:00
Location: 
MPIM Lecture Hall

First meeting/Working group on Grothendieck-Teichmüller groups

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Date: 
Fri, 2018-09-21 14:00 - 15:00
Location: 
MPIM Seminar Room

Concerning the working group on Grothendieck-Teichmuller, I suggest that
we meet  this/Friday 21/09/2018 at 14h00,/ in the /seminarraum./ 
We shall discuss how we organize our group. 

The idea of this working group is to have an exchange of points of views
concerning a tool which connects both geometric and arithmetic areas. 
People who do not necessarily want to give a talk, are also welcome.

Noémie Combe


      

Introductory Short Talks, Part II

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Organiser(s): 
Peter Teichner
Affiliation: 
MPIM
Date: 
Mon, 2018-09-24 16:30 - 18:00
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

Introductory Short Talks, Part 1

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Organiser(s): 
Peter Teichner
Affiliation: 
MPIM
Date: 
Mon, 2018-09-24 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

Quantum Matrix Algebras via compatible R-matrices

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Speaker: 
Dmitry Gurevich
Affiliation: 
Université de Valenciennes
Date: 
Tue, 2018-09-25 14:00 - 15:00
Location: 
MPIM Lecture Hall

The notion of compatible R-matrices was introduced by Isaev-Ogievetsky-Pyatov.
It enables one to introduced a large family of new quantum algebras and the
corresponding Bethe subalgebras. Also, this notion  is useful for defining
the so-called half-quantum algebras (Isaev-Ogievetsky) which generalize the
notions of the Manin and q-Manin matrices. In my talk I plan to introduce  all
these  objects and to exhibit the role of  the mentioned algebras in
studying the  Yangians and their different generalizations.

The size of the primes obstructing the existence of rational points and Brownian motion

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Speaker: 
Efthymios Sofos
Affiliation: 
MPIM
Date: 
Tue, 2018-10-02 14:00 - 15:00
Location: 
MPIM Lecture Hall
The sequence of the primes p for which a variety over the rational numbers has no p-adic point plays a fundamental role in arithmetic geometry. 
This sequence is deterministic, however, we prove that if we choose a typical variety from a family then the sequence has random behaviour. 
We furthermore prove that this behaviour is modelled by a random walk in Brownian motion.

State integrals, the quantum dilogarithm and knots

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Speaker: 
Stavros Garoufalidis
Affiliation: 
GIT / MPIM
Date: 
Tue, 2018-09-18 14:00 - 15:00
Location: 
MPIM Lecture Hall

State integrals (and their building block, the quantum dilogarithm) express the partition function of complex Chern-Simons theory of triangulated 3-manifolds with boundary. I will give an introduction to the subject, focusing on examples, as well as recent results on expressing state integrals in terms of Neumann-Zagier data and in terms of q-series of Nahm type. This is work joint in parts with R. Kashaev and D. Zagier.

New guests at the MPIM

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Speaker: 
Sylvaine Lavau, Nicholas Cooney, Nima Rasekh
Date: 
Thu, 2018-09-27 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

New guests at the MPIM

Posted in
Speaker: 
Noemie Combe, Tinhinane Azzouz, Alberto Cavallo
Date: 
Thu, 2018-09-20 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

Statistics of Diophantine problems and the Cohen-Lenstra heuristics

Posted in
Speaker: 
Carlo Pagano
Affiliation: 
University of Leiden/MPIM
Date: 
Thu, 2018-09-20 16:30 - 17:30
Location: 
MPIM Lecture Hall
We shall consider the following three questions:
 
(1) What is the number of positive square-free integers D going up to a large number X for which the equation a^2-Db^2=-1 has

On binary additive problems with prime variables in short intervals

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Speaker: 
Yuta Suzuki
Affiliation: 
Nagoya University/MPIM
Date: 
Wed, 2018-09-19 16:30 - 17:30
Location: 
MPIM Lecture Hall

In this talk, we consider some asymptotic behaviour of binary additive
problems with prime variables in short intervals. We start with a
brief review on exceptional set estimates in short intervals and
continue to the recent work of Languasco and Zaccagnini on the short
interval asymptotic formulas. Although the preceding results were
mainly obtained via the circle method, we see that a more direct
method gives better results for some cases.

A survey on the evaluation of the values of Dirichlet $L$-functions and of their logarithmic derivatives on the line of $1$

Posted in
Speaker: 
Sumaia Saad Eddin
Affiliation: 
Johannes Kepler University Linz/MPIM
Date: 
Tue, 2018-09-18 11:00 - 12:00
Location: 
MPIM Lecture Hall

Let $q$ be a positive integer $q>1$, and let $\chi$ be a Dirichlet character modulo $q$. Let $L(s, \chi)$ be the attached Dirichlet $L$-functions,
and let $L^\prime(s, \chi)$ denote its derivative with respect to the complex variable $s$. In this talk, we survey certain known results on the evaluation of  values of  Dirichlet $L$-functions  and  of their logarithmic derivatives at $1+it_0$ for fixed real number $t_0$.

Asymptotics and inequalities for partitions into squares

Posted in
Speaker: 
Alexandru Ciolan
Affiliation: 
Universität Köln
Date: 
Wed, 2018-09-19 14:30 - 15:30
Location: 
MPIM Lecture Hall

We show that the number of partitions into squares with an even number of parts is asymptotically equal to that of partitions into squares with an odd number of parts. We further prove that, for $ n $ large enough, the two quantities are different and which of the two is bigger depends on the parity of $ n. $ This solves a recent conjecture formulated by Bringmann and Mahlburg (2012)

Minicourse 2

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Date: 
Fri, 2019-07-12 09:30 - 10:30

Coffee break

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Date: 
Fri, 2019-07-12 10:30 - 11:00
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