Recursion Theory/Descriptive Set Theory Seminar - Fall 2024

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Time: Fridays 11:00-12:30
Location: 736 Evans

Topic:Hyperfiniteness, asymptotic dimension, and Borel geometry of countable Borel equivalence relations.

Tentative Schedule:

• Jan 31, Feb 7: Introduction to hyperfiniteness (Yvette/Daniel):
  • Dougherty, Jackson, Kechris (1994) The structure of hyperfinite Borel equivalence relations.
  • Kechris, Miller (2004) Topics in orbit equivalence.
• Feb 14, 21: Hyperfiniteness of Z^n actions, asymptotic cones, and toast (David/Katalin)
  • Boykin, Jackson (2007) Borel boundedness and the lattice rounding property
  • Marks, Unger (2017) Borel circle squaring
• Feb 28: Introduction to asymptotic dimension (Liza):
  • Bell, Dranishnikov (2008) Asymptotic Dimension
• Mar 7, 14: Borel asymptotic dimension and hyperfiniteness (Alex T./Yiping):
  • Conley, Jackson, Marks, Seward, Tucker-Drob (2023) Borel asymptotic dimension and hyperfiniteness.
• Mar 21: Hyperfiniteness of Borel graphs of polynomial growth (Alex K./Felix):
  • Bernshteyn, Yu (2023) Large-Scale Geometry of Borel graphs of polynomial growth.
• Apr 4: Slawek Solecki: The projective amalgamation property of simplicial maps.
• Apr 11: Hyperfiniteness of Borel graphs of slow intermediate growth (Alex K./Felix):
  • Grebík, Marks, Rozhoň, Shinko (2025) Hyperfiniteness of Borel graphs of slow intermediate growth.
• Apr 18: Pieter Spaas: TBA
• Apr 25: Dino Rossegger?: TBA
• May 2: Borel combinatorics, asymptotic dimension, and asymptotic separation index (Cecelia/Forte):
  • Qian, Weilacher (2024) Descriptive combinatorics, computable combinatorics, and asi algorithms
  • Weilacher, Bernshteyn (2024) Borel versions of the Local Lemma and LOCAL algorithms for graphs of finite asymptotic separation index.