## Upcoming conferences & activities

## 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.

## 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.

## Topological recursion in Hurwitz theory

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

Contact: Gaetan Borot (HU Berlin)

## An asymptotic formula for the number of $n$-dimensional representations of $SU(3)$

Zoom ID: 919 6497 4060

For password please contact Pieter Moree (moree@mpim...).

## Relative quantum cohomology and its application

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

This talk will take place via Zoom only.

## Birkhoff sections of Anosov flows

An Anosov flow is a globally hyperbolic dynamical system which can be studied in dimension 3 using some transverse surfaces called Birkhoff section. There exist three families of Birkhoff sections which can not co-exist, and they help understand the nature of the flow. I will explain a relation between the existence of these Birkhoff sections with the topology of the orbit space of the flow.

## Integrability of Lie Algebroids

Meeting-ID: 994 2805 4844

For passcode contact Christian Kaiser (kaiser@mpim...).

## 2021 Fields Medal Symposium: Peter Scholze

**Location: ** online

For the schedule, more detailed information and registration instruction please see here:

http://www.fields.utoronto.ca/activities/21-22/fieldsmedalsym

## 2021 Fields Medal Symposium: Peter Scholze

**Location: ** online

For the schedule, more detailed information and registration instruction please see here:

http://www.fields.utoronto.ca/activities/21-22/fieldsmedalsym

## tba

Zoom ID: 919 6497 4060

For password please contact Pieter Moree (moree@mpim...).

## 2021 Fields Medal Symposium: Peter Scholze

**Location: ** online

For the schedule, more detailed information and registration instruction please see here:

http://www.fields.utoronto.ca/activities/21-22/fieldsmedalsym

## 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.

## Representation theory learning seminar

## A study group on Milnor invariants

## IMPRS Minicourse

## IMPRS seminar on various topics: Hitchin systems

## Extra talk

## Seminar on Algebra, Geometry and Physics

## 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.

## 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.

## Derived Motivic Measures and Six Functors Formalisms

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

## tba

## The super Mumford form and Sato Grassmannian

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

## tba

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