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SUMMARY:Botong Wang (University of Wisconsin-Madison)
DTSTART:20210115T230000Z
DTEND:20210116T000000Z
DTSTAMP:20260423T024549Z
UID:UCSBsga/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSBsga/7/">
 The algebraic geometry of posets</a>\nby Botong Wang (University of Wiscon
 sin-Madison) as part of UCSB Seminar on Geometry and Arithmetic\n\n\nAbstr
 act\nNatural poset (partially ordered set) structure arises in polyhedral 
 fans\, Coxeter groups\, and hyperplane arrangements. In nice cases\, there
  exist stratified algebraic varieties realizing the above poset structures
 \, namely toric varieties\, Schubert varieties\, and matroid Schubert vari
 eties respectively. I will discuss how to prove combinatorial results usin
 g the corresponding algebraic varieties. I will also talk about how to ext
 end the above arguments beyond geometry\, for example\, the singular Hodge
  theory of arbitrary matroids. The last part is joint work with Tom Braden
 \, June Huh\, Jacob Matherne and Nick Proudfoot.\n
LOCATION:https://researchseminars.org/talk/UCSBsga/7/
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