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SUMMARY:Melissa Sherman-Bennett (UC Berkeley)
DTSTART:20210301T210000Z
DTEND:20210301T220000Z
DTSTAMP:20260423T035910Z
UID:AGSAGS/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGSAGS/19/">
 Cluster structures on Schubert varieties in the Grassmannian</a>\nby Melis
 sa Sherman-Bennett (UC Berkeley) as part of American Graduate Student Alge
 braic Geometry Seminar\n\n\nAbstract\nCluster algebras are a class of comm
 utative rings with a (usually infinite) set of distinguished generators\, 
 grouped together in overlapping subsets called "clusters." They were defin
 ed by Fomin and Zelevinsky in the early 2000s\; since their definition\, c
 onnections have been found to representation theory\, Teichmuller theory\,
  discrete dynamical systems\, and many other branches of math. I'll discus
 s joint work with K. Serhiyenko and L. Williams\, in which we show that ho
 mogeneous coordinate rings of Schubert varieties in the Grassmannian are c
 luster algebras\, with clusters coming from a particularly nice combinator
 ial source.\n
LOCATION:https://researchseminars.org/talk/AGSAGS/19/
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