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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.

## A conference on Algebraic Topology, in memory of Hans-Joachim Baues

## A conference on Algebraic Topology, in memory of Hans-Joachim Baues

This conference is intended to provide an overview of current research in homotopy theory, which has vastly expanded since its roots in the 19th century from the study of topological spaces by algebraic and combinatorial means to other fields of mathematics, including algebraic geometry, differential topology, and mathematical physics.

## Twinned Conference on Homotopy Theory with Applications to Arithmetic and Geometry

## Twinned Conference on Homotopy Theory with Applications to Arithmetic and Geometry, June 27 - 30, 2022

The field of homotopy theory originated in the study of topological spaces up to deformation, but has since been applied effectively in several other disciplines. Indeed, homotopical ideas lead to the resolution of several long-standing open conjectures, for instance on smooth structures on spheres, the moduli of curves, and the cohomology of fields. More recently, Bhatt, Morrow, and Scholze used homotopical methods to compare different cohomology theories for algebraic varieties, thereby resolving open questions in arithmetic geometry. In a similarly arithmetic vein, Galatius and Venkatesh initiated the study of Galois representations with homotopical means, whereas Clausen and Scholze revisited the foundations of analytic topology. These and other recent developments in the interface of arithmetic and topology opened up new lines of attack towards classical open questions, which sparked a wide range of current research activities. This conference intends to survey some of the most spectacular recent advances in the fields, thereby paving the way to new developments and future interactions. Our goal is to foster scientific exchange and collaboration between established researchers, emerging leaders, early career mathematicians, and graduate students.

This will be a split transatlantic conference taking place at the Fields Institute in Canada and the Max Planck Institute for Mathematics in Germany, with videoconferencing connections in place to help collaboration. The concept of the twinned conference was motivated by the desire to reduce environmental impact of conference travels. Our hope is that this initiative will help reduce transatlantic flights, while still promoting long distance interactions. The goal of this twinned conference is to bring together experts on Homotopy Theory and adjacent areas to discuss the forefront of current developments in this highly active field.

We especially welcome applications from members of minority groups.

## The tensor HCIZ integral and its relation to enumerative geometry and free probability

## The Benjamini—Schramm construction and its applications

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.

## Ramanujan-style congruences for prime level

## Higher algebras in supergravity and M-theory

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

## Functors between Fukaya categories

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

Abstract of talk:

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