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.

## Surgery Theory and 4-manifolds

it to specific questions in four manifold topology.

Meeting ID: 916 5855 1117

Password: as before.

## Positivity, higher Teichmüller spaces and (non-commutative) cluster algebras

https://hu-berlin.zoom.us/j/61339297016

## Maxima of a Random Model of the Riemann Zeta Function over Intervals of Varying Length

Zoom Meeting ID: 919 6497 4060

For password see the email or contact Pieter Moree (moree@mpim...).

## Formalism of Perverse Sheaves

Zoom Meeting-ID: 994 2805 4844

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

## Topological rigidity and low dimensional topology

## Bilinear discretization of quadratic vector fields: integrability and geometry

https://hu-berlin.zoom.us/j/61339297016

We discuss dynamics of birational maps which appear as bilinear discretizations of quadratic vector fields. The corresponding dynamical systems turn out to be integrable much more often than could be expected. Various aspects of integrability of birational dynamical systems will be discussed, along with remarkable geometric structures behind some of the particular examples.

## Perverse Sheaves and Morse Theory

Zoom Meeting-ID: 994 2805 4844

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

## Geometry without spaces: a hyperbolic parable

We revisit old ideas that are shared by functional analysts and logicians alike, in order to do hyperbolic geometry without bothering with practicalities such as spaces or dimension.

Our main interest will be the interplay between (real or complex) hyperbolic geometry and group representations.

## tba

Meeting ID: 916 5855 1117

Password: as before.

Contact: Aru Ray and Tobias Barthel.

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