# Talk

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

## An informal THH session for topologists

Posted in
Speaker:
Peter Scholze
Affiliation:
Universität Bonn/MPIM
Date:
Mon, 2018-07-16 16:30 - 18:00
Location:
MPIM Lecture Hall
Parent event:
MPIM Topology Seminar

## Multiplicity in restriction and tempered $L$-packets for $p$-adic groups

Posted in
Speaker:
Kwangho Choiy
Affiliation:
Southern Illinois University/MPIM
Date:
Wed, 2018-07-25 14:30 - 15:30
Location:
MPIM Lecture Hall
Parent event:
Number theory lunch seminar

Studying the behavior of complex representations of a $p$-adic group restricted to its closed subgroup with the same derived group, we can derive useful information to establish the local Langlands correspondence for the subgroup. In this context, after reviewing the correspondences for $p$-adic inner forms of $SL(n), Sp(4),$ and others, we shall discuss the multiplicity of tempered representations of $p$-adic groups in the restriction, and relate it to its counterpart of corresponding irreducible representations of finite groups in the Langlands dual side, under some assumptions.

## Open problems in low-dimensional topology

Posted in
Speaker:
Wolfgang Lück and Peter Teichner
Date:
Thu, 2018-07-19 13:15 - 15:00
Location:
MPIM Lecture Hall

## Filtrations of the knot concordance group

Posted in
Speaker:
Peter Teichner
Affiliation:
MPIM
Date:
Tue, 2018-07-17 15:15 - 17:00
Location:
MPIM Lecture Hall

## On localizing rings, categories, and weight structures

Posted in
Speaker:
Mikhail Bondarko
Affiliation:
St. Petersburg State University/MPIM
Date:
Thu, 2018-07-19 15:00 - 16:00
Location:
MPIM Lecture Hall
Parent event:
MPI-Oberseminar

(joint work with V. Sosnilo)

## The K-theory of schemes

Posted in
Speaker:
Alessandro Giacchetto
Affiliation:
MPIM
Date:
Wed, 2018-07-18 16:30 - 18:00
Location:
MPIM Seminar Room
Parent event:
IMPRS seminar on K-theory

## Formal solution to the $\hbar-$KP hierarchy

Posted in
Speaker:
Sergey Natanzon
Affiliation:
HSE Moscow/MPIM
Date:
Tue, 2018-07-24 14:00 - 15:00
Location:
MPIM Lecture Hall

We find all formal solutions to the $\hbar$-dependent Kadomtsev-Petviashvili (KP) hierarchies. For $\hbar=1$ and $\hbar=0$ they are solutions of standard KP hierarchy and dispersionless KP hierarchy respectively. The solutions are characterized by certain Cauchy-like data that are functions of one variable. The solutions are found in a form of formal series for the tau-functions of the hierarchies and for its logarithms. An explicit combinatorial description of the coefficients of the series is provided. The talk is based on join work with A.Zabrodin.

## New guests at the MPIM

Posted in
Speaker:
Ayberk Zeytin, Roman Fedorov, Yusuf Mustopa
Date:
Thu, 2018-07-12 15:00 - 16:00
Location:
MPIM Lecture Hall
Parent event:
MPI-Oberseminar

## The K-theory of exact categories

Posted in
Speaker:
Fabian Henneke
Affiliation:
MPIM
Date:
Wed, 2018-07-11 16:30 - 18:00
Location:
MPIM Seminar Room
Parent event:
IMPRS seminar on K-theory

## A Chebotarev density theorem for families, and an application to class groups

Posted in
Speaker:
Caroline Turnage-Butterbaugh
Affiliation:
Duke University/MPIM
Date:
Wed, 2018-07-18 14:30 - 15:30
Location:
MPIM Lecture Hall
Parent event:
Number theory lunch seminar

This talk will present a new effective Chebotarev theorem that holds for all but a possible zero-density subfamily of certain families of number fields of fixed degree. For certain families, this work is unconditional, and in other cases it is conditional on the strong Artin conjecture and certain conjectures on counting number fields. As an application, we obtain nontrivial average upper bounds on l-torsion in the class groups of the families of fields. This talk is on joint work with Lillian Pierce and Melanie Matchett Wood.

## Endoscopic classification of supercuspidal representations for p-adic unitary groups

Posted in
Speaker:
Kam-Fai (Geo) Tam
Affiliation:
MPIM
Date:
Wed, 2018-07-11 14:30 - 15:30
Location:
MPIM Lecture Hall
Parent event:
Number theory lunch seminar

Given a supercuspidal representation of a p-adic unitary
group, we can associate to it a Langlands parameter by the endoscopic
classification of Arthur and Mok. In this talk, we explain how to use
the internal structure of this parameter to construct an underlying
type, in the sense of Bushnell-Kutzko and Stevens, of this
representation.

## A proof of the prime number theorem IV

Posted in
Speaker:
Efthymios Sofos
Affiliation:
University of Leiden/MPIM
Date:
Thu, 2018-09-20 11:15 - 12:15
Location:
MPIM Lecture Hall

The prime number theorem asserts that the $n$-th largest prime has approximate size $n \log n$.
We shall give the proof of Iwaniec in his recent AMS book on the Riemann zeta function.
These lectures are at the level of beginning graduate students.

## A proof of the prime number theorem III

Posted in
Speaker:
Efthymios Sofos
Affiliation:
University of Leiden/MPIM
Date:
Mon, 2018-09-17 11:15 - 12:15
Location:
MPIM Lecture Hall

The prime number theorem asserts that the $n$-th largest prime has approximate size $n \log n$.
We shall give the proof of Iwaniec in his recent AMS book on the Riemann zeta function.
These lectures are at the level of beginning graduate students.

## A proof of the prime number theorem II

Posted in
Speaker:
Efthymios Sofos
Affiliation:
University of Leiden/MPIM
Date:
Thu, 2018-09-13 11:15 - 12:15
Location:
MPIM Lecture Hall

The prime number theorem asserts that the $n$-th largest prime has approximate size $n \log n$.
We shall give the proof of Iwaniec in his recent AMS book on the Riemann zeta function.
These lectures are at the level of beginning graduate students.

## A proof of the prime number theorem I

Posted in
Speaker:
Efthymios Sofos
Affiliation:
University of Leiden/MPIM
Date:
Mon, 2018-09-10 11:15 - 12:15
Location:
MPIM Lecture Hall

The prime number theorem asserts that the $n$-th largest prime has approximate size $n \log n$.
We shall give the proof of Iwaniec in his recent AMS book on the Riemann zeta function.
These lectures are at the level of beginning graduate students.

## The fundamental local equivalence for quantum Geometric Langlands: comparing Kac-Moody modules, Whittaker sheaves, and modules for the quantum group

Posted in
Speaker:
Dennis Gaitsgory
Affiliation:
Harvard
Date:
Wed, 2018-07-11 10:30 - 12:00
Location:
MPIM Lecture Hall

## Gauge theory and knot concordance

Posted in
Speaker:
Paolo Aceto
Affiliation:
Alfréd Rényi Institute of Mathematics/MPIM
Date:
Thu, 2018-07-05 13:15 - 15:00
Location:
MPIM Seminar Room

## Fibred knots and applications

Posted in
Speaker:
Filip Misev
Organiser(s):
Wolfgang Lück, Peter Teichner
Affiliation:
Université d' Aix- Marseille/MPIM
Date:
Tue, 2018-07-03 15:15 - 17:00
Location:
MPIM Seminar Room

## Higher algebraic K-theory: Q construction and group completion

Posted in
Speaker:
Christian Kaiser
Affiliation:
MPIM
Date:
Wed, 2018-07-04 16:30 - 18:00
Location:
MPIM Seminar Room
Parent event:
IMPRS seminar on K-theory

## D-modules in birational geometry

Posted in
Speaker:
Mihnea Popa
Affiliation:
Northwestern University
Date:
Wed, 2018-07-04 16:30 - 18:00
Location:
MPIM Lecture Hall

I will give an overview of techniques based on the theory of mixed Hodge modules, which lead to a number of applications of a rather elementary nature in birational and complex geometry. The key point I will emphasize is the use of vanishing and positivity theorems in the context of filtered D-modules of Hodge theoretic origin.

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