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

Zeta functions and dynamical systems on foliated spaces

Posted in
Speaker: 
Ko Aoki
Affiliation: 
MPIM/Universität Bonn
Date: 
Tue, 19/12/2023 - 10:15 - 11:45
Location: 
MPIM Lecture Hall

Cohomological Hall algebras and P=W conjecture

Posted in
Speaker: 
Alexandre Minets
Affiliation: 
University of Edinburgh/MPIM
Date: 
Thu, 14/12/2023 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

Let S be a smooth surface, and Coh(S) the moduli stack of properly supported coherent sheaves on S. One can equip the Borel-Moore homology of Coh(S) with a convolution algebra structure; this is called the cohomological Hall algebra (CoHA) of S. While understanding CoHA algebraically is more or less hopeless for a general S, I will give an explicit presentation of its part, which corresponds to sheaves with zero-dimensional support.

The tail of the colored Jones polynomial for arborescent knots

Posted in
Speaker: 
Matthias Storzer
Affiliation: 
MPIM/Universität Bonn
Date: 
Tue, 12/12/2023 - 10:15 - 11:45
Location: 
MPIM Lecture Hall

Microlocal Riemann-Hilbert correspondence

Posted in
Speaker: 
Christopher Kuo
Affiliation: 
USC Dornsife
Date: 
Tue, 12/12/2023 - 13:30 - 14:30
Location: 
MPIM Lecture Hall

For complex manifolds, the Riemann-Hilbert correspondence generalizes the classical correspondence between finite dimensional local systems and D-modules which are coherent as O-modules to perverse sheaves and regular holonomic D-modules. These later objects are in fact microlocal in nature that they can be regarded as living on the cotangent bundles, and the correspondence admits a microlocalization as well.

How algebraic is space?

Posted in
Speaker: 
Piotr Pstrągowski
Affiliation: 
Harvard
Date: 
Fri, 15/12/2023 - 16:00 - 17:00
Location: 
MPIM Lecture Hall
Parent event: 
Extra talk

A phenomena in topology is said to be stable if it occurs in all sufficiently high dimensions. As discovered by Quillen over five decades ago, such phenomena are closely related to number theory, and can often be described in terms of arithmetic objects known as formal groups. Unfortunately, in general this dictionary is not quite a one-to-one and many periodicities one sees on the arithmetic side become broken and more complex in the world of topology.

Why can Kontsevich's invariants detect exotic phenomena?

Posted in
Speaker: 
Xujia Chen
Affiliation: 
Harvard
Date: 
Fri, 15/12/2023 - 14:00 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
Extra talk

In topology, the difference between the category of smooth manifolds and the category of topological manifolds has always been a delicate and intriguing problem, called the "exotic phenomena". The recent work of Watanabe (2018) uses the tool "Kontsevich's invariants" to show that the group of diffeomorphisms of the 4-dimensional ball, as a topological group, has non-trivial homotopy type. In contrast, the group of homeomorphisms of the 4-dimensional ball is contractible.

tba

Posted in
Speaker: 
Juan Esteban Rodriguez Camargo
Affiliation: 
Columbia University
Date: 
Thu, 14/12/2023 - 14:00 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
Extra talk

tba

Posted in
Speaker: 
Yusuf Barış Kartal
Affiliation: 
University of Edinburgh
Date: 
Thu, 14/12/2023 - 11:00 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Extra talk

tba

Posted in
Speaker: 
Maria Gerasimova
Affiliation: 
Universität Münster
Date: 
Thu, 14/12/2023 - 09:00 - 10:00
Location: 
MPIM Lecture Hall
Parent event: 
Extra talk

Analytic Stacks

Posted in
Speaker: 
Peter Scholze
Affiliation: 
MPIM
Date: 
Fri, 09/02/2024 - 10:15 - 12:00
Location: 
MPIM Lecture Hall

The purpose of this course is to propose new foundations for analytic geometry. The topics covered are as follows:
1. Light condensed abelian groups.
2. Analytic rings.
3. Analytic stacks.
4. Examples.
Lectures will be given by Dustin Clausen at IHES and Peter Scholze at MPI, and broadcast live at the other location.
We also plan to make the lectures accessible by Zoom, and record them.

Mi, 10(c.t.) - 12 Uhr, und Fr, 10(c.t.) - 12 Uhr, MPI-Hörsaal

Analytic Stacks

Posted in
Speaker: 
Dustin Clausen
Affiliation: 
IHES
Date: 
Wed, 07/02/2024 - 10:15 - 12:00
Location: 
MPIM Lecture Hall

The purpose of this course is to propose new foundations for analytic geometry. The topics covered are as follows:
1. Light condensed abelian groups.
2. Analytic rings.
3. Analytic stacks.
4. Examples.
Lectures will be given by Dustin Clausen at IHES and Peter Scholze at MPI, and broadcast live at the other location.
We also plan to make the lectures accessible by Zoom, and record them.

Mi, 10(c.t.) - 12 Uhr, und Fr, 10(c.t.) - 12 Uhr, MPI-Hörsaal

Analytic Stacks

Posted in
Speaker: 
Peter Scholze
Affiliation: 
MPIM
Date: 
Fri, 02/02/2024 - 10:15 - 12:00
Location: 
MPIM Lecture Hall

The purpose of this course is to propose new foundations for analytic geometry. The topics covered are as follows:
1. Light condensed abelian groups.
2. Analytic rings.
3. Analytic stacks.
4. Examples.
Lectures will be given by Dustin Clausen at IHES and Peter Scholze at MPI, and broadcast live at the other location.
We also plan to make the lectures accessible by Zoom, and record them.

Mi, 10(c.t.) - 12 Uhr, und Fr, 10(c.t.) - 12 Uhr, MPI-Hörsaal

Analytic Stacks

Posted in
Speaker: 
Dustin Clausen
Affiliation: 
IHES
Date: 
Wed, 31/01/2024 - 10:15 - 12:00
Location: 
MPIM Lecture Hall

The purpose of this course is to propose new foundations for analytic geometry. The topics covered are as follows:
1. Light condensed abelian groups.
2. Analytic rings.
3. Analytic stacks.
4. Examples.
Lectures will be given by Dustin Clausen at IHES and Peter Scholze at MPI, and broadcast live at the other location.
We also plan to make the lectures accessible by Zoom, and record them.

Mi, 10(c.t.) - 12 Uhr, und Fr, 10(c.t.) - 12 Uhr, MPI-Hörsaal

Analytic Stacks

Posted in
Speaker: 
Peter Scholze
Affiliation: 
MPIM
Date: 
Fri, 26/01/2024 - 10:15 - 12:00
Location: 
MPIM Lecture Hall

The purpose of this course is to propose new foundations for analytic geometry. The topics covered are as follows:
1. Light condensed abelian groups.
2. Analytic rings.
3. Analytic stacks.
4. Examples.
Lectures will be given by Dustin Clausen at IHES and Peter Scholze at MPI, and broadcast live at the other location.
We also plan to make the lectures accessible by Zoom, and record them.

Mi, 10(c.t.) - 12 Uhr, und Fr, 10(c.t.) - 12 Uhr, MPI-Hörsaal

Analytic Stacks

Posted in
Speaker: 
Dustin Clausen
Affiliation: 
IHES
Date: 
Wed, 24/01/2024 - 10:15 - 12:00
Location: 
MPIM Lecture Hall

The purpose of this course is to propose new foundations for analytic geometry. The topics covered are as follows:
1. Light condensed abelian groups.
2. Analytic rings.
3. Analytic stacks.
4. Examples.
Lectures will be given by Dustin Clausen at IHES and Peter Scholze at MPI, and broadcast live at the other location.
We also plan to make the lectures accessible by Zoom, and record them.

Mi, 10(c.t.) - 12 Uhr, und Fr, 10(c.t.) - 12 Uhr, MPI-Hörsaal

Analytic Stacks

Posted in
Speaker: 
Peter Scholze
Affiliation: 
MPIM
Date: 
Fri, 19/01/2024 - 10:15 - 12:00
Location: 
MPIM Lecture Hall

The purpose of this course is to propose new foundations for analytic geometry. The topics covered are as follows:
1. Light condensed abelian groups.
2. Analytic rings.
3. Analytic stacks.
4. Examples.
Lectures will be given by Dustin Clausen at IHES and Peter Scholze at MPI, and broadcast live at the other location.
We also plan to make the lectures accessible by Zoom, and record them.

Mi, 10(c.t.) - 12 Uhr, und Fr, 10(c.t.) - 12 Uhr, MPI-Hörsaal

Analytic Stacks

Posted in
Speaker: 
Dustin Clausen
Affiliation: 
IHES
Date: 
Wed, 17/01/2024 - 10:15 - 12:00
Location: 
MPIM Lecture Hall

The purpose of this course is to propose new foundations for analytic geometry. The topics covered are as follows:
1. Light condensed abelian groups.
2. Analytic rings.
3. Analytic stacks.
4. Examples.
Lectures will be given by Dustin Clausen at IHES and Peter Scholze at MPI, and broadcast live at the other location.
We also plan to make the lectures accessible by Zoom, and record them.

Mi, 10(c.t.) - 12 Uhr, und Fr, 10(c.t.) - 12 Uhr, MPI-Hörsaal

Selected Topics in Differential Geometry - The classical Plateau Problem

Posted in
Speaker: 
Stephan Stadler
Affiliation: 
MPIM
Date: 
Thu, 14/12/2023 - 08:30 - 10:00
Location: 
MPIM Seminar Room

tba

Posted in
Speaker: 
Kyle Hayden
Affiliation: 
Rutgers Newark
Date: 
Tue, 12/12/2023 - 17:00 - 18:00
Location: 
MPIM Lecture Hall

Explicit Methods for Modular and Shimura Curves

Posted in
Speaker: 
Oana Padurariu
Affiliation: 
Boston University/MPIM
Date: 
Mon, 11/12/2023 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Extra talk

Modular and Shimura curves are intensely studied because they parametrize abelian varieties with extra structure. In this talk, I will give some examples of how explicit methods can help us better understand these curves, from computing sets of rational points of their quotients to deciding their degree of irrationality.

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