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SUMMARY:Colin Crowley (University of Wisconsin Madison)
DTSTART:20221206T200000Z
DTEND:20221206T210000Z
DTSTAMP:20260423T024701Z
UID:Matroids/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Matroids/19/
 ">Hyperplane arrangements and compactifications of vector groups</a>\nby C
 olin Crowley (University of Wisconsin Madison) as part of Matroids - Combi
 natorics\, Algebra and Geometry Seminar\n\nLecture held in Room 210 The Fi
 elds Institute.\n\nAbstract\nSchubert varieties of hyperplane arrangements
 \, also known as matroid Schubert varieties\, play an essential role in th
 e proof of the Dowling-Wilson conjecture and in Kazhdan-Lusztig theory for
  matroids. We study these varieties as equivariant compactifications of af
 fine spaces\, and give necessary and sufficient conditions to characterize
  them. We also generalize the theory to include partial compactifications 
 and morphisms between them. Our results resemble the correspondence betwee
 n toric varieties and polyhedral fans.\n
LOCATION:https://researchseminars.org/talk/Matroids/19/
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