# Seminars Calendar

## October 20, 2021 - 11:00 - room 2AB40 - Danilo Lewanski (IHES and IPhT - France)

**Frobenius manifolds, moduli spaces of curves, and enumerative geometry: the topological recursion.**

ABSTRACT: Topological recursion (TR) is a recently developed method, which can be thought as an algorithm recursively generating solutions to enumerative geometric problems. For instance, TR generates interesting numbers involved in Gromov-Witten theory, Mirror Symmetry, String Theory, different graphs counting on surfaces, Hurwitz theory, Weil-Petersson and Masur-Veech volumes, WKB analysis, Painlevé equations, polynomial invariants of knots, Hitchin systems, BPS states, and more. On the other hand, it provides a system of cohomology classes on the moduli spaces of curves with good properties — often a cohomological field theory, therefore in correspondence under certain conditions with the Frobenius manifolds introduced by Dubrovin. It is an exciting time for TR, many new results are being developed, and several conjectures await to be proved.

## October 28, 2021 - 15:00 - online - Frederik Benirschke (University of Chicago)

**Equations and degeneration**

Zoom meeting: https://unipd.zoom.us/j/5332063266

ABSTRACT: Linear subvarieties are a class of special subvarieties in the

moduli space of differentials on Riemann surfaces, which are defined by

linear equations among periods. After motivating the study of linear

subvarieties, both from the viewpoint of algebraic geometry and dynamical

systems, we discuss a framework to understand degenerations of families of

differentials. The goal is to explain the statement “The boundary of a

linear subvariety is linear

## November 8, 2021 - 14:30 - room 1A150 - François Loeser (Sorbonne Université )

**Monodromy and non-archimedean geometry **

ABSTRACT: We will present an overview of recent results on mondoromy and Milnor fibers in relation with non-archimedean geometry and motivic integration.

# Working Seminars

## Chabauty + Chabauty-Coleman + Kim methods

First meeting Friday 22 October, 2021, 14:00-15:00, room 2BC60, talk by Nicola Mazzari: Introduction to Chabauty, Chabauty-Coleman, Kim.

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