## Upcoming conferences & activities

## Conference on "Motives and Automorphic Forms" in Honour of Günter Harder's 85th Birthday, March 6 - 10, 2023

## Conference on "Motives and Automorphic Forms" in Honour of Günter Harder's 85th Birthday, March 6 - 10, 2023

Following a line of research culminating in the works of Weil, Eichler, Shimura and Taniyama, then further pushed by the emerging of the Langlands program, many deep and fruitful bridges between automorphic forms and algebraic geometry have been explored and led to spectacular results. During the fifty years span from the proof of Ramanujan’s conjecture on the discriminant modular form, using the validity of the Weil conjectures in algebraic geometry over finite fields, to the recent proof of the Sato-Tate conjectures for elliptic curves over CM fields, using automorphic machinery, it has been clearly established that the interaction between these two fields has amazing applications in both directions. Moreover, several guiding principles in this area have been inspired by the philosophy of motives, which has now developed into a mature theory providing not only heuristics, but concrete and sophisticated new tools to attack problems. The aim of the conference is to present the state of the art of the field by gathering leading experts at the crossroads of automorphic forms, arithmetic geometry and representation theory, and celebrating Günter Harder’s influence on these topics.

A detailed program will follow.

In case you have any questions, please contact **harder85$@$mpim-bonn$.$mpg$.$de**.

**Financial support**

We encourage participants to seek external funding, so that the limited financial support available can be primarily used for early career mathematicians. In case you do need financial support, you can indicate this in the registration form.

**Registration**

If you would like to participate, please register before November 27, 2022 (we reserve the right to close the registration earlier, depending on demand). We especially welcome applications from members of minority groups. The total number of participants is limited and, after the deadline, we will inform the registered participants that were not already invited if participation is possible.

Please REGISTER HERE.

## Conference on "Arithmetic Statistics, Automorphic Forms and Ergodic Methods", April 24 - 28, 2023

## Conference on "Arithmetic Statistics, Automorphic Forms and Ergodic Methods", April 24 - 28, 2023

The field of arithmetic statistics is a fast-moving area of number theory, dealing with distributional results for many basic and important objects: ranks of elliptic curves, central values of L-functions, number fields, modular symbols, orbits of discrete groups etc. The techniques involved come from diverse areas of mathematics e.g. automorphic forms, ergodic theory, spectral theory, dynamical systems, probabilistic number theory, representation theory and random matrix theory. This workshop intends to bring together researchers of all career levels to present their work and exchange ideas and techniques on arithmetic statistics. Motivated by the programme of Mazur and Rubin based on their computational study of elliptic curves over abelian extensions of fixed degree, the meeting will focus on modular symbols, Manin's noncommutative modular symbols, equidistribution of lattice points on the sphere, Heegner points, and closed geodesics, including the error term in the Prime Geodesic Theorem.

## Arbeitstagung 2023 on Condensed Mathematics

#### Arbeitstagung 2023 on Condensed Mathematics, June 19 - 23, 2023

The Arbeitstagung 2023 will focus on Condensed Mathematics, a new approach to topology, and its applications throughout mathematics, from logic over algebra, analysis and K-theory to group theory and dynamical systems. As usual at an Arbeitstagung, part of the program will only be decided during the event depending on the interests of the audience.

## Upcoming Talks

Abstracts of upcoming talks at the MPIM. For an overview see also the calendar.

## Recent developments in Quantum Topology -- Cancelled --

We will review the basics of quantum topology such as the colored Jones polynomial of a knot, its standard conjectures relating to asymptotics, arithmeticity and modularity, as well as the recent quantum hyperbolic invariants of Kashaev et al, their state-integrals and their structural properties. The course is aimed to be accessible by graduate students and young researchers.

## Student Seminar on Equivariant Cohomology

#### Course listing and General Information

Graduate Seminar on Advanced Geometry (S4D3)

Hauptseminar Geometrie (S2D1)

University of Bonn, Winter semester 2022/23

## Topic 3a, Configurations, Whitney towers and the space of link maps

Hybrid lecture

Contact: Rob Schneiderman, Peter Teichner

## Descent problems in equivariant algebraic K-theory

Introductory talk, hybrid.

Contact: T. Barthel, V. Ozornova, A. Ray, P. Teichner

## Splittings for moduli of configuration spaces

Introductory talk, hybrid.

Contact: T. Barthel, V. Ozornova, A. Ray, P. Teichner

## Verdier duality for constructible sheaves with general coefficients

Introductory talk, hybrid.

Contact: T. Barthel, V. Ozornova, A. Ray, P. Teichner

## Numerators and Denominators of Bernoulli Numbers in the Spheres

Introductory talk, hybrid.

Contact: T. Barthel, V. Ozornova, A. Ray, P. Teichner

## Formal Group Laws - An Introduction

Hybrid.

Contact: Christian Kaiser (kaiser@mpim-bonn.mpg.de)

## Loop-tree duality for integrals on the moduli space of graphs

Connection link: https://hu-berlin.zoom.us/j/61686623112

Contact: Gaetan Borot (gaetan.borot@hu-berlin.de)

## A Riemann-Hilbert Correspondence in p-adic Geometry, Lecture 5

At the start of the 20th century, David Hilbert asked which representations can arise by studying the monodromy of Fuchsian equations. This question was the starting point for a beautiful circle of ideas relating the topology of a complex algebraic variety X to the study of algebraic differential equations. A central result is the celebrated Riemann-Hilbert correspondence of Kashiwara and Mebkhout, which supplies a fully faithful embedding from the category of perverse sheaves on $X$ to the category of algebraic $\mathfrak{D}_X$-modules.

## Mathematical events in Bonn

##### Bonn Mathematics Calendar

All mathematical events in Bonn are listed in the Bonn Mathematics Calendar. For directions see the map.

##### University Calendar

All lectures and courses at Bonn University can be found in the university calendar.

## Recurring seminars, series and courses

Detailed list of recurring seminars, series of talks, and courses or lectures comprising multiple talks. For an overview see also the calendar.

## Friedrich Hirzebruch Lecture

The annual Friedrich Hirzebruch Lecture is a series of lectures started in 2007 on the occasion of the 80th birthday of Prof. Friedrich Hirzebruch. The lectures address a general audience and aim at illustrating the relation between mathematics and art, society and other fields.

## MPI-Oberseminar

The Oberseminar is a very long running seminar at MPI (‘Ober‘ standing for 'upper'). Its idea is that the guests of the MPI speak in this seminar (hopefully early in their stay) and get the chance to explain their work to the other guests.

## IMPRS Minicourse

## Extra talk

## Seminar on Algebra, Geometry and Physics

## Oberseminar Differentialgeometrie

**Hybrid talks. Access to the institute and lecture hall according to MPIM
corona rules.
For zoom details please contact Stephan Stadler (stadler$@$mpim-bonn$.$mpg$.$de)**

## Seminar Algebraic Geometry (SAG)

## Higher Differential Geometry Seminar

## Archived Events

To narrow the list of events displayed please select year and event type or fill the search fields, then press *Apply*.

## MPI-Oberseminar

The Oberseminar is a very long running seminar at MPI (‘Ober‘ standing for 'upper'). Its idea is that the guests of the MPI speak in this seminar (hopefully early in their stay) and get the chance to explain their work to the other guests.

## Friedrich Hirzebruch Lecture

The annual Friedrich Hirzebruch Lecture is a series of lectures started in 2007 on the occasion of the 80th birthday of Prof. Friedrich Hirzebruch. The lectures address a general audience and aim at illustrating the relation between mathematics and art, society and other fields.

## Arbeitstagung 2023 on Condensed Mathematics

#### Arbeitstagung 2023 on Condensed Mathematics, June 19 - 23, 2023

The Arbeitstagung 2023 will focus on Condensed Mathematics, a new approach to topology, and its applications throughout mathematics, from logic over algebra, analysis and K-theory to group theory and dynamical systems. As usual at an Arbeitstagung, part of the program will only be decided during the event depending on the interests of the audience.

## Conference on "Arithmetic Statistics, Automorphic Forms and Ergodic Methods", April 24 - 28, 2023

## Conference on "Arithmetic Statistics, Automorphic Forms and Ergodic Methods", April 24 - 28, 2023

The field of arithmetic statistics is a fast-moving area of number theory, dealing with distributional results for many basic and important objects: ranks of elliptic curves, central values of L-functions, number fields, modular symbols, orbits of discrete groups etc. The techniques involved come from diverse areas of mathematics e.g. automorphic forms, ergodic theory, spectral theory, dynamical systems, probabilistic number theory, representation theory and random matrix theory. This workshop intends to bring together researchers of all career levels to present their work and exchange ideas and techniques on arithmetic statistics. Motivated by the programme of Mazur and Rubin based on their computational study of elliptic curves over abelian extensions of fixed degree, the meeting will focus on modular symbols, Manin's noncommutative modular symbols, equidistribution of lattice points on the sphere, Heegner points, and closed geodesics, including the error term in the Prime Geodesic Theorem.

## Conference on "Motives and Automorphic Forms" in Honour of Günter Harder's 85th Birthday, March 6 - 10, 2023

Following a line of research culminating in the works of Weil, Eichler, Shimura and Taniyama, then further pushed by the emerging of the Langlands program, many deep and fruitful bridges between automorphic forms and algebraic geometry have been explored and led to spectacular results. During the fifty years span from the proof of Ramanujan’s conjecture on the discriminant modular form, using the validity of the Weil conjectures in algebraic geometry over finite fields, to the recent proof of the Sato-Tate conjectures for elliptic curves over CM fields, using automorphic machinery, it has been clearly established that the interaction between these two fields has amazing applications in both directions. Moreover, several guiding principles in this area have been inspired by the philosophy of motives, which has now developed into a mature theory providing not only heuristics, but concrete and sophisticated new tools to attack problems. The aim of the conference is to present the state of the art of the field by gathering leading experts at the crossroads of automorphic forms, arithmetic geometry and representation theory, and celebrating Günter Harder’s influence on these topics.

A detailed program will follow.

In case you have any questions, please contact **harder85$@$mpim-bonn$.$mpg$.$de**.

**Financial support**

We encourage participants to seek external funding, so that the limited financial support available can be primarily used for early career mathematicians. In case you do need financial support, you can indicate this in the registration form.

**Registration**

If you would like to participate, please register before November 27, 2022 (we reserve the right to close the registration earlier, depending on demand). We especially welcome applications from members of minority groups. The total number of participants is limited and, after the deadline, we will inform the registered participants that were not already invited if participation is possible.

Please REGISTER HERE.

## tba

Contact: Stephan Stadler (stadler@mpim-bonn.mpg.de)

## tba

Contact: Stephan Stadler (stadler@mpim-bonn.mpg.de)

## Museum of visual Asymptotic Representation Theory

Contact: Gaetan Borot (gaetan.borot@hu-berlin.de)

## Phantom minimal series and the Peter--Weyl theorem for loop groups

Connection link: https://hu-berlin.zoom.us/j/61686623112

Contact: Gaetan Borot (gaetan.borot@hu-berlin.de)

## Restrictions on collapse with lower Ricci curvature bounds

Contact: Stephan Stadler (stadler@mpim-bonn.mpg.de)

Given a sequence $X_i $ of closed n-dimensional Riemannian manifolds of Ricci curvature bounded below and diameter bounded above, one can always find a convergent subsequence (in the Gromov-Hausdorff sense).

We study the relationship between the topology of the spaces $X_i $ and the geometry and topology of the limit space.

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