Séminaires : Séminaire Géométrie et Topologie

Equipe(s) : aa, acg,
Responsables :P.-A. Guihéneuf, V. Humilière, B. Petri, A. Sambarino
Email des responsables :
Salle : 15-25-502
Adresse :Campus Pierre et Marie Curie
Description

Ce séminaire s’adresse aux géomètres, topologues et dynamiciens au sens large. Il est rattaché aux équipes Analyse Algébrique et Analyse Complexe et Géométrie. Les exposés seront accessibles à une audience large, doctorants inclus. Il se tiendra à Jussieu, le jeudi à 11h, en salle 15-25 502. Le séminaire a l'agenda google suivante: https://calendar.google.com/calendar/b/0?cid=dDgzNTJoczNmdDhlMm5nb2IzMXJwaWpsdHNAZ3JvdXAuY2FsZW5kYXIuZ29vZ2xlLmNvbQ

Orateur(s) Javier Aramayona - UAM,
Titre On the abelianization of pure big mapping class groups
Date21/03/2019
Horaire11:00 à 12:00
Diffusion
RésumeA classical theorem of Powell asserts that the mapping class group of an orientable surface of finite topological type and genus at least three has trivial abelianization. The first part of the talk will be devoted to explaining a proof of this result, as well as discussing the remaining low-genus cases.

We will then show that, in stark contrast, mapping class groups of infinite-type surfaces can have infinite abelianization. More concretely, we will explain how to construct non-trivial integer-valued homomorphisms from mapping class groups of infinite-genus surfaces. Further, we will give a description the first integral cohomology group of pure mapping class groups in terms of the first homology of the underlying surface. This is joint work with Priyam Patel and Nick Vlamis.
Salle15-25-502
AdresseCampus Pierre et Marie Curie
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