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

The Benjamini—Schramm construction and its applications

Posted in
Speaker: 
Yannik Krifka
Zugehörigkeit: 
MPIM
Datum: 
Don, 2022-02-03 15:00 - 16:00
Parent event: 
MPI-Oberseminar

In 2000 Itai Benjamini and Oded Schramm introduced a notion of distributional limits for finite graphs.
More recently, their construction could be generalized and found interesting applications in other areas of
mathematics including Dynamical Systems, Group Theory and Geometry.

The goal of this talk is to introduce the Benjamini—Schramm construction and present some of its applications
beyond Graph Theory. In particular, we will see how it can be used to compactify the moduli space of finite-area
hyperbolic surfaces.

 

Short lectures by new IMPRS students

Posted in
Speaker: 
Simona Vesela, Hyeonhee Jin, Julian Brueggemann, and Andrea Monti
Datum: 
Mon, 2022-01-31 10:15 - 11:45
Parent event: 
IMPRS seminar

For zoom details contact Christian Kaiser (kaiser@mpim-bonn.mpg.de).

Ramanujan-style congruences for prime level

Posted in
Speaker: 
Moni Kumar
Zugehörigkeit: 
Bar-Ilan University
Datum: 
Mit, 2022-02-02 14:30 - 15:30
Parent event: 
Number theory lunch seminar
For zoom details please contact Pieter Moree (moree@mpim-bonn.mpg.de)

 

Short lectures by new IMPRS students:

Posted in
Speaker: 
Pengcheng Zhang, Dominik Kirstein, Jonas Nehme, Lukas Bonfert
Datum: 
Mon, 2022-01-24 10:15 - 11:45
Parent event: 
IMPRS seminar


For zoom details contact Christian Kaiser (kaiser@mpim-bonn.mpg.de)

Hall algebras and quantum cluster algebras

Posted in
Speaker: 
Elie Casbi
Zugehörigkeit: 
MPIM
Datum: 
Don, 2022-01-27 15:00 - 16:00
Parent event: 
MPI-Oberseminar

The theory of Hall algebras has known many spectacular developments and applications since the discovery by Ringel of their connection with quantum groups. One important object arising naturally in the study of Hall algebras is the integration map defined by Reineke, which allows to produce certain celebrated wall-crossing identities. In this talk I will first focus on the Dynkin case and show how the integration map can be interpreted in a natural way via the representation theory of quantum affine algebras.

The double suspension theorem III

Posted in
Speaker: 
Arunima Ray
Zugehörigkeit: 
MPIM
Datum: 
Die, 2022-01-25 10:15 - 11:45
Parent event: 
IMPRS Minicourse

Abstract:

Distinguishing Siegel eigenforms from Hecke eigenvalues

Posted in
Speaker: 
Arvind Kumar
Zugehörigkeit: 
The Hebrew University of Jerusalem
Datum: 
Mit, 2022-01-26 14:30 - 15:30
Parent event: 
Number theory lunch seminar

Determination of modular forms is one of the fundamental and interesting
problems in number theory. It is known that if the Hecke eigenvalues of two
newforms agree for all but finitely many primes, then both the forms are
the same. In other words, the set of Hecke eigenvalues at primes determine
the newform uniquely and this result is known as the multiplicity one
theorem. In the case of Siegel cuspidal eigenforms of degree two, the
multiplicity one theorem has been proved only recently in 2018 by Schmidt.

The double suspension theorem, II

Posted in
Speaker: 
Arunima Ray
Zugehörigkeit: 
MPIM
Datum: 
Die, 2022-01-18 10:15 - 11:45
Parent event: 
IMPRS Minicourse

In 1963 Milnor proposed a list of seven problems that he considered the toughest and most important in geometric topology at the time. The first among these was the double suspension problem: given a non-simply connected 3-manifold with the homology of the 3-sphere, is the double suspension homeomorphic to the 5-sphere? Notably the first suspension is not even a manifold. In 1979 Cannon proved the double suspension theorem using tools from decomposition space theory.

From q-difference equations to quantum modular forms

Posted in
Speaker: 
Campbell Wheeler
Zugehörigkeit: 
MPIM
Datum: 
Mon, 2022-01-17 10:15 - 11:45
Parent event: 
IMPRS seminar

Meeting-ID: 994 2805 4844
For passcode contact Christian Kaiser (kaiser@mpim-bonn.mpg.de)

Capitulation discriminants of genus one curves

Posted in
Speaker: 
Lazar Radicevic
Zugehörigkeit: 
MPIM
Datum: 
Mit, 2022-01-19 14:30 - 15:30
Parent event: 
Number theory lunch seminar

For zoom details please contact Pieter Moree (moree@mpim-bonn.mpg.de)

On integral local Shimura varieties

Posted in
Speaker: 
Michael Rapoport
Zugehörigkeit: 
Universität Bonn
Datum: 
Don, 2022-01-20 12:00 - 14:00

For zoom details please contact Peter Scholze (scholze@mpim...).

A Fourier transform for Banach-Colmez spaces, II

Posted in
Speaker: 
Johannes Anschütz
Zugehörigkeit: 
Universität Bonn
Datum: 
Don, 2022-01-27 12:00 - 14:00

For zoom details please contact Peter Scholze (scholze@mpim...).

A Fourier transform for Banach-Colmez spaces, I

Posted in
Speaker: 
Johannes Anschütz
Zugehörigkeit: 
Universität Bonn
Datum: 
Don, 2022-01-13 12:00 - 14:00

For zoom details please contact Peter Scholze (scholze@mpim...).

Canonical Kähler metrics and quantization

Posted in
Speaker: 
Louis Ioos
Zugehörigkeit: 
Tel Aviv University/MPIM
Datum: 
Don, 2022-01-13 15:00 - 16:00
Parent event: 
MPI-Oberseminar

For zoom details please contact Christian Kaiser (kaiser@mpim-bonn.mpg.de).
 

Functors between Fukaya categories

Posted in
Speaker: 
Nate Bottman
Zugehörigkeit: 
MPIM
Datum: 
Mon, 2022-01-31 15:00 - 16:00

For zoom details please contact T. Barthel, V. Ozornova, A. Ray, P. Teichner.

Abstract of talk:

Introduction to Fukaya categories, Talk 1

Posted in
Speaker: 
Jie Min
Zugehörigkeit: 
MPIM
Datum: 
Mon, 2022-01-24 15:00 - 16:00

For zoom details please contact T. Barthel, V. Ozornova, A. Ray, P. Teichner.

The geometry and topology of some high dimensional hyperbolic manifolds

Posted in
Speaker: 
Alan Reid
Zugehörigkeit: 
MPIM
Datum: 
Mon, 2022-01-17 15:00 - 16:00
Parent event: 
MPIM Topology Seminar

For zoom details please contact T. Barthel, V. Ozornova, A. Ray, P. Teichner.

In this talk we will focus on trying to understand the geometry and topology of certain non-compact finite volume hyperbolic n-manifolds with n > 3 (indeed we will mainly focus on n=4). One particular aspect we will focus on is the structure of co-dimension 1 totally geodesic submanifolds in these manifolds.

On a problem of Graham, Erdos, and Pomerance on the $p-$divisibility of central binomial coefficients

Posted in
Speaker: 
Hamed Mousavi
Zugehörigkeit: 
Georgia Tech
Datum: 
Mit, 2022-01-12 14:30 - 15:30
Parent event: 
Number theory lunch seminar

Erdos, Graham, Ruzsa, and Straus  proved that for primes $p,q$, there are infinitely many integers $n$ such that $\gcd\left(\binom{2n}{n},pq\right)=1$. Later Erdos and Graham conjectured that $\gcd\left(\binom{2n}{n},105\right)=1$ is true for infinitely many integers $n$. In this talk, we will prove a generalized statistical version of this conjecture. In particular, we prove that for $r>1$ and a set of  primes $p_1,\cdots, p_r$, there are infinitely many $n$, such that $\binom{2n}{n}$ is divisible by these primes with multiplicity of size at most $o(\log(n))$.

Ramified Descent

Posted in
Speaker: 
Julian Demeio
Zugehörigkeit: 
MPIM
Datum: 
Don, 2022-01-20 15:00 - 16:00
Parent event: 
MPI-Oberseminar

Meeting ID: 931 7291 0947
For passcode contact Christian Kaiser (kaiser@mpim-bonn.mpg.de)

The technique of descent has been widely used to prove that Brauer-Manin is the only obstruction to weak approximation and Hasse principle on some geometrically rational varieties. This "descent" usually refers to descent under torsors. I will investigate an analogue with respect to possibly ramified (geometrically) Galois covers."

The double suspension theorem

Posted in
Speaker: 
Arunima Ray
Zugehörigkeit: 
MPIM
Datum: 
Die, 2022-01-11 10:15 - 11:45
Parent event: 
IMPRS Minicourse

In 1963 Milnor proposed a list of seven problems that he considered the toughest and most important in geometric topology at the time. The first among these was the double suspension problem: given a non-simply connected 3-manifold with the homology of the 3-sphere, is the double suspension homeomorphic to the 5-sphere? Notably the first suspension is not even a manifold. In 1979 Cannon proved the double suspension theorem using tools from decomposition space theory.

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