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## 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.

## Young Number Theorists in Bonn

## Young Number Theorists in Bonn, September 11 - 15, 2023

The aim of the conference is to bring together early-stage career researchers in number theory (PhD students and postdocs who have obtained their PhD in 2021 or later). We hope that the friendly and engaging atmosphere will encourage the participants to ask questions and discuss their research freely, talk about future job applications and other important aspects of a career in academia. Furthermore, participants will be able to apply to give talks to describe the problems they are working on.

We expect that application/registration for the conference will be open in late winter/early spring, and we will invite participants in spring. Accommodation will be covered for all participants. However, we cannot cover travel costs; participants are expected to cover that from their own travel funds.

## 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.

#### Organizers

Dustin Clausen, Peter Scholze

#### Local organizer

#### Speakers

Alexander Efimov - HSE University

Peter Haine - UC Berkeley

Peter Kropholler - University of Southampton

Catrin Mair - Technische Universität Darmstadt

Lucas Mann - Universität Münster

Akhil Mathew - University of Chicago

Yosuke Morita - Kyoto University

Juan Esteban Rodriguez Camargo - MPIM Bonn

## Conference on "Arithmetic Statistics, Automorphic Forms and Ergodic Methods"

## 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.

## Graduate Research Opportunities for Women at Bonn 2023 (GROW)

# Graduate Research Opportunities for Women at Bonn 2023, March 30-31, 2023

The GROW@Bonn 2023 conference is aimed at women, non-binary and gender diverse undergraduate students who may be interested in learning about opportunities of graduate degree in the mathematical sciences.

The conference is open to bachelors and masters students from universities in Germany and neighbouring EU countries, including international students. Reasonable cost of travel will be refunded and accommodation will be provided by the conference to the selected participants who wish to travel to Bonn for GROW. Priorities will be given to those who have not attended any GROW conference before. The conference will be in English. People are welcome to ask questions in German. We will have plenty of German speaking mentors/volunteers/organizers.

## Conference on "Motives and Automorphic Forms" in Honour of Günter Harder's 85th Birthday

## 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**

As of November 27, 2022 the registration is closed. 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.

## Integrability of geometric structures with respect to a Lie algebra

Compared to many other geometric structures, contact structures exhibit a peculiar behaviour: on the one hand, they are, intuitively, "flat", due to the existence of Darboux charts; on the other hand, they have an underlying $G$-structure which is not flat (its integrable version would be a symplectic foliation). To make this observation rigorous, Albert and Molino proposed in 1984 a different definition of integrability, "twisted" by the Heisenberg Lie algebra.

## tba

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

## The Barnes-Hurwitz zeta cocycle on PGL_2(Q)

Hybrid. Contact: Pieter Moree (moree@mpim...)

In this talk, we will introduce a group cocycle Z on PGL_2(Q) whose construction relies upon zeta functions of Barnes and Hurwitz. One of the advantages of this cocycle is that it allows us to endow all the Taylor coefficients of Z at s=0 with the same (cohomological) property. If time permits, we will also discuss some applications to the study of ray class zeta functions over real quadratic fields.

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