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Automorphisms of Surfaces
13 Dec
13. December 2022
Mathematisch-Physikalisches Kolloquium

Automorphisms of Surfaces

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.

Speaker

PD Dr. Jonathan Bowden, Universität Regensburg

Organiser

Fakultät für Mathematik und Physik

Date

13. December 2022
16:30 o'clock - 18:00 o'clock

Public contact

Dekan Herr Prof. Dr. Ulrich Derenthal
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Welfengarten 1
30167 Hannover
Tel.: 0511 762 4478
derenthal@math.uni-hannover.de

Location

Welfenschloss
Building: 1101
Room: B 302
Hörsaal
Welfengarten 1
30167 Hannover
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