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
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".
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