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.

## Drinfeld discriminant function and Fourier expansion of harmonic cochains

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

## Plenary talk, GROW conference

https://www.hcm.uni-bonn.de/grow2023/

## Differential graded Lie algebras and stability problems in geometry

Given a Lie algebroid structure on a vector bundle $A$ and a leaf $L$ of this Lie algebroid, a natural question is whether all nearby Lie algebroid structures on A have a leaf which is diffeomorphic to $L$. This question was answered by M. Crainic and R. Fernandes.

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## An algebraic approach to inequalities in convex geometry

The classical isoperimetric inequality and more generally the Alexandrov-Fenchel inequality are among the most fundamental results in convex geometry; in fact, their significance extends far beyond convexity. In our talk, a conjectural broad generalization of these inequalities will be formulated in the language of Alesker's algebraic theory of valuations on convex bodies.

## Schinzel's Hypothesis with probability 1 and rational points on varieties in families

We prove that Schinzel's Hypothesis (H) holds for 100% of polynomials of any fixed degree. I will discuss the proof of this result and also explain how to deduce from this the Hasse principle for certain surfaces.

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