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.

## Exponential Sum Reading Seminar - Organizational meeting

We are excited to announce a semester-long reading seminar on the exponential sum over finite fields. Throughout the seminar, participants will delve into the interaction of analytic number theory and arithmetic geometry. Specifically, we will learn Stepanov's “elementary” method to prove Weil’s Conjecture for curves over finite fields. We kindly invite all Ph.D students and postdocs who are interested in this topic.

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## Quantum Steenrod operations of symplectic resolutions

I will consider the quantum connection of symplectic resolutions, which is of interest in representation theory and more recently in symplectic topology. I will explain its relationship in positive characteristic with the quantum Steenrod power operations of Fukaya and Wilkins. The relationship provides a geometric understanding of the p-curvature of such connections, while also allowing new computations for quantum Steenrod operations, including the case of the Springer resolution.

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