Zassenhaus Lecture -- PL Morse theory and finiteness properties of groups

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Mladen Bestvina
April 4, 2022
4:15PM - 5:15PM
Location
Hitchcock Hall 0324

Date Range
Add to Calendar 2022-04-04 16:15:00 2022-04-04 17:15:00 Zassenhaus Lecture -- PL Morse theory and finiteness properties of groups Title:  PL Morse theory and finiteness properties of groups Speaker:  Mladen Bestvina (University of Utah) Abstract:  The most basic question about a given (discrete) group G is whether it is finitely generated, or finitely presented, or ... whether it has a classifying space with the finite n-skeleton (following CTC Wall we say G has type F_n). In this talk, I will present a version of Morse theory suitable for exploring the topology of a simplicial or a cubical complex and will exhibit groups of type F_n but not F_{n+1}.   I will then talk about some more recent developments in this subject. This talk is based on my work with Noel Brady. Hitchcock Hall 0324 Department of Mathematics math@osu.edu America/New_York public
Description

Title:  PL Morse theory and finiteness properties of groups

Speaker:  Mladen Bestvina (University of Utah)

Abstract:  The most basic question about a given (discrete) group G is whether it is finitely generated, or finitely presented, or ... whether it has a classifying space with the finite n-skeleton (following CTC Wall we say G has type F_n). In this talk, I will present a version of Morse theory suitable for exploring the topology of a simplicial or a cubical complex and will exhibit groups of type F_n but not F_{n+1}.   I will then talk about some more recent developments in this subject. This talk is based on my work with Noel Brady.

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