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Mathematisch-Physikalisches Kolloquium

Mathematical-Physical Colloquium in Winter Semester 2022/2023

We would like to invite you to the Mathematical-Physical Colloquium of the Faculty of Mathematics and Physics at Leibniz Universität Hannover:

PD Dr. Jonathan Bowden (Universität Regensburg)

speaks on the topic

Automorphisms of Surfaces

in Room B302 on Tuesday, 13 December 2022 at 16:30.

Abstract: The classification of compact topological surfaces goes back to the mid 19th century, in lieu of attempts to find counterexamples to Euler’s formulae for polyhedra, and is a landmark result in classical geometric topology. On the other hand the group of automorphisms of a surface is a very rich object and its study is still relevant today. The mapping class group of a surface, consisting of automorphisms up to deformation, appears naturally in many contexts Teichmüller theory, Thurston’s Geometrisation of 3-manifolds, stable homotopy theory (Madsen-Weiss’ proof of the Mumford Conjecture) to name a few. By contrast, the study of the full group of automorphisms, which is relevant in dynamics, is somewhat less understood and several natural questions remained open until recently. I will put these problems into context and indicate some recent progress concerning the geometry of this group in joint work with S. Hensel and R. Webb.