Zassenhaus Lecture -- Asymptotic dimension of spaces and groups

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Mladen Bestvina
April 5, 2022
4:15PM - 5:15PM
Location
Hitchcock Hall 0035

Date Range
Add to Calendar 2022-04-05 16:15:00 2022-04-05 17:15:00 Zassenhaus Lecture -- Asymptotic dimension of spaces and groups Title:  Asymptotic dimension of spaces and groups Speaker:  Mladen Bestvina (University of Utah) Abstract:  Gromov defined the notion of asymptotic dimension, which is a quasi-isometry invariant of spaces and groups. It is the large-scale analog of the usual covering dimension in topology. Computing it for a particular group, or even deciding if it is finite, is in general difficult. I will present some examples, e.g. Gromov's theorem that hyperbolic groups have finite asymptotic dimension, and outline a proof that mapping class groups have finite asymptotic dimension. This talk is based on my work with Ken Bromberg and Koji Fujiwara. Hitchcock Hall 0035 Department of Mathematics math@osu.edu America/New_York public
Description

Title:  Asymptotic dimension of spaces and groups

Speaker:  Mladen Bestvina (University of Utah)

Abstract:  Gromov defined the notion of asymptotic dimension, which is a quasi-isometry invariant of spaces and groups. It is the large-scale analog of the usual covering dimension in topology. Computing it for a particular group, or even deciding if it is finite, is in general difficult. I will present some examples, e.g. Gromov's theorem that hyperbolic groups have finite asymptotic dimension, and outline a proof that mapping class groups have finite asymptotic dimension. This talk is based on my work with Ken Bromberg and Koji Fujiwara.

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