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SUMMARY:Mike Davis (Ohio State University)
DTSTART:20210119T180000Z
DTEND:20210119T190000Z
DTSTAMP:20260423T004142Z
UID:OSUGGT/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSUGGT/20/">
 Bordifications of hyperplane arrangement complements and curve complexes o
 f spherical Artin groups</a>\nby Mike Davis (Ohio State University) as par
 t of Ohio State Topology and Geometric Group Theory Seminar\n\n\nAbstract\
 nThe complement of an arrangement of hyperplanes in a complex vector space
  has a natural bordification to a manifold with corners formed by removing
  tubular neighborhoods of the hyperplanes and certain of their intersectio
 ns.  When the arrangement is the complexification of a real simplicial arr
 angement\, the bordification closely resembles Harvey's bordification of t
 he braid group.   The faces of the universal cover of the bordification ar
 e parameterized by the simplices of a simplicial complex\, the vertices of
  which are the irreducible ``parabolic subgroups'' of the fundamental grou
 p of the arrangement complement. When the arrangement is associated to a f
 inite reflection group\, we get the "curve complex" of the associated pure
  Artin group. In analogy with curve complexes for mapping class groups and
  with spherical buildings\, our curve complex has the homotopy type of a w
 edge of spheres.  This is joint work with Jingyin Huang.\n
LOCATION:https://researchseminars.org/talk/OSUGGT/20/
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