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Lecture & Mini Course 2: Projection Complexes and Applications to Mapping Class Groups

Metric Geometry and Geometric Analysis (Oxford, United Kingdom) July 11, 2022 - July 22, 2022

July 18, 2022 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Mladen Bestvina (University of Utah)
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Abstract

The main goal will be to present a proof that mapping class groups have finite asymptotic dimension. This will give me a good excuse to talk about projection complexes, asymptotic dimension, curve complexes and subsurface projections. Most of this will be self-contained, with few "black boxes".

Reading list:
Hyperbolic groups and spaces, from the standard books like
Bridson-Haefliger or Kapovich-Drutu
Some familiarity with mapping class groups, e.g. the first 3 sections
of Farb-Margalit

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