## 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 led 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.

## Virtual ICM 2022. Live stream and in person talks at the Max Planck Institute for Mathematics

## 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.

## 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.

## Sato-Tate Distributions for Elliptic Curves

For zoom details contact Christian Kaiser (kaiser@mpim...)

## Symmetric monoidal infinity categories and ring spectra

For zoom details contact: Christian Kaiser (kaiser@mpim...)

## Modular forms, supersymmetric field theories, and algebraic topology

Contact for zoom details: Barthel, Ozornova, Ray, Teichner.

## The Barr-Beck Theorem in Symplectic Geometry

For zoom details contact: Gaetan Borot (gaetan.borot@hu-berlin.de)

## Integral points in orbits and multiplicative dependence

For zoom details contact Pieter Moree (moree@mpim-bonn.mpg.de).

In this talk, we aim to review some results about the sparsity of integral

points lying in orbits of rational maps in varieties over global fields,

and present about some of their consequences to multiplicative dependence

and arithmetic dynamics.

## Localization theorem for algebraic stacks

For zoom details contact Peter Scholze (scholze@mpim...)

## What is a p-adic quantum dilogarithm?

For zoom details please contact Pietere Moree (moree@mpim-bonn.mpg.de).

## tba

For zoom details contact Peter Teichner (teichner@mpim-bonn.mpg.de) or David Reutter.

## The two faces of scalar curvature

For zoom details contact Stephan Stadler (stadler@mpim...)

## 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

## IMPRS Minicourse

## A study group on Milnor invariants

## IMPRS seminar on various topics: Hitchin systems

## Extra talk

## 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.

## 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.

## tba

https://www.mathunion.org/icm/virtual-icm-2022

## tba

https://www.mathunion.org/icm/virtual-icm-2022

## tba

https://www.mathunion.org/icm/virtual-icm-2022

## Virtual ICM 2022. Live stream and in person talks at the Max Planck Institute for Mathematics

## 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 led 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.

## Open enumerative geometry for Landau-Ginzburg models and Mirror Symmetry

A Landau-Ginzburg (LG) model is a triplet of data $(X,W,G)$ consisting of a regular complex-valued function W from a quasi-projective variety X with a group G acting on X so that W is invariant. An enumerative theory developed by Fan, Jarvis and Ruan gives FJRW invariants, an analogue of Gromov-Witten invariants, for LG models. We define an open enumerative theory for certain LG models, building on the FJRW point of view. Roughly speaking, our theory involves computing specific integrals on certain moduli of discs with boundary and interior marked points.

## The two faces of scalar curvature

For zoom details contact Stephan Stadler (stadler@mpim...)

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