---
res:
  bibo_abstract:
  - Expander graphs (sparse but highly connected graphs) have, since their inception,
    been the source of deep links between Mathematics and Computer Science as well
    as applications to other areas. In recent years, a fascinating theory of high-dimensional
    expanders has begun to emerge, which is still in a formative stage but has nonetheless
    already lead to a number of striking results. Unlike for graphs, in higher dimensions
    there is a rich array of non-equivalent notions of expansion (coboundary expansion,
    cosystolic expansion, topological expansion, spectral expansion, etc.), with differents
    strengths and applications. In this talk, we will survey this landscape of high-dimensional
    expansion, with a focus on two main results. First, we will present Gromov’s Topological
    Overlap Theorem, which asserts that coboundary expansion (a quantitative version
    of vanishing mod 2 cohomology) implies topological expansion (roughly, the property
    that for every map from a simplicial complex to a manifold of the same dimension,
    the images of a positive fraction of the simplices have a point in common). Second,
    we will outline a construction of bounded degree 2-dimensional topological expanders,
    due to Kaufman, Kazhdan, and Lubotzky.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Uli
      foaf_name: Wagner, Uli
      foaf_surname: Wagner
      foaf_workInfoHomepage: http://www.librecat.org/personId=36690CA2-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-1494-0568
  bibo_doi: 10.24033/ast.1188
  bibo_volume: 438
  dct_date: 2022^xs_gYear
  dct_identifier:
  - UT:000958364400007
  dct_isPartOf:
  - http://id.crossref.org/issn/0037-9484
  - http://id.crossref.org/issn/2102-622X
  dct_language: eng
  dct_publisher: Societe Mathematique de France@
  dct_title: High-dimensional expanders (after Gromov, Kaufman, Kazhdan, Lubotzky,
    and others)@
...