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 3c, Homotopy generators for the total fibre of the configuration cube

MPIM Lecture Hall and Zoom (Id: 960 9156 6263).

Contact: Peter Teichner

## Floer homology and non-fibered knot detection

Please note the unusual starting time.

Hybrid. Contact: Tobias Barthel, Viktoria Ozornova, Aru Ray and

Peter Teichner.

## Complex-oriented cohomology theories and formal groups

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

After reviewing some basics about spectra, I will show how certain cohomology theories give rise to 1-dimensional formal group laws. This is the foundational idea of the mathematical field called chromatic homotopy theory. I will provide ordinary cohomology, K-theory and bordism as examples.

## On the topology of character varieties of once-punctured torus bundles

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

## Arithmetic Transfer for inner forms of GL_2n

Contact: Peter Scholze (scholze@mpim-bonn.mpg.de)

## Characters of local systems

This is a follow-up of my talk on traces and categorification. I will explain in more detail how one defines characters of local systems on topological spaces, spell out the induced character formula in this setting, and describe how one may deduce a formula for the Becker-Gottlieb transfer of a fibration of spaces.

## Limits of Mahler measures and successively exact polynomials

Contact: Pieter Moree (moree@mpim-bonn.mpg.de)

## Categorical Torelli theorem for Fano varieties

Contact: Daniel Huybrechts.

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