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SUMMARY:Christopher Eur (Harvard University)
DTSTART:20211105T140000Z
DTEND:20211105T150000Z
DTSTAMP:20260423T021032Z
UID:VCAS/107
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/107/">T
 autological classes of matroids</a>\nby Christopher Eur (Harvard Universit
 y) as part of IIT Bombay Virtual Commutative Algebra Seminar\n\n\nAbstract
 \nAlgebraic geometry has furnished fruitful tools for studying matroids\, 
 which are combinatorial abstractions of hyperplane arrangements. We first 
 survey some recent developments\, pointing out how these developments rema
 ined partially disjoint. We then introduce certain vector bundles (K-class
 es) on permutohedral varieties\, which we call "tautological bundles (clas
 ses)" of matroids\, as a new framework that unifies\, recovers\, and exten
 ds these recent developments. Our framework leads to new questions that fu
 rther probe the boundary between combinatorics and geometry. This is joint
  work with Andrew Berget\, Hunter Spink\, and Dennis Tseng.\n
LOCATION:https://researchseminars.org/talk/VCAS/107/
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