GGT Seminar: Xiaolei Wu (Shanghai Center for Mathematical Sciences): Finiteness properties of asymptotic mapping class groups

Thursday, 18.11.2021 15:00 per ZOOM: Link to Zoom info

Mathematik und Informatik

Asymptotic mapping class group of genus zero was first introduced by Funar and Kapoudjian. It is a finitely presented group which contains the mapping class groups of all genus zero surfaces. Later the definitions were generalized to allow the genus to be any finite number (Funar--Aramayona) and infinite (Funar--Kapoudjian). We will discuss how these groups are constructed and show that they are in fact of type F_infinity. The proof boils down to prove certain subsurface complexes are highly connected. This is based on joint work with Javier Aramayona, Kai-Uwe Bux, Jonas Flechsig and Nansen Petrosyan.

Angelegt am Friday, 12.11.2021 14:37 von ggardam
Geändert am Friday, 12.11.2021 14:37 von ggardam
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