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CATEGORIES:Conferences/Seminars/Lectures
DESCRIPTION:Speakers:  Vadim Vologodsky (MIT)\n\nTitle: Semistable models f
 or Severi-Brauer varieties.\n\nAbstract: Let R be a hensilian discrete  val
 uation domain (e.g.\, R=K[[t]]) with fraction field F\, and let  X be a Sev
 eri-Brauer variety over F. We say that X is tame if it has a point over an 
 unramified extension of F (this is always the case if the residue field of 
 R is perfect).\n\nWe prove that X has a proper semistable model over R if a
 nd only if X is tame. \n\nThe geometric special fiber of the semistable mod
 el we construct is a certain quiver Grassmannian. The proof makes use of a 
 description of hereditary R-orders (i.e. orders whose Jacobson radical is a
  projective module over the order) in the algebra of matrices over F obtain
 ed by Brumer.\n\n   The talk is based on a joint work in progress with Alex
 ei Kubanov and Constantin Shramov.
DTEND:20230224T220000Z
DTSTAMP:20260412T194416Z
DTSTART:20230224T200000Z
GEO:42.358262;-71.090045
LOCATION:Building 2\, 2-135
SEQUENCE:0
SUMMARY:MIT Infinite Dimensional Algebra Seminar
UID:tag:localist.com\,2008:EventInstance_42456160393608
URL:https://calendar.mit.edu/event/mit_infinite_dimensional_algebra_seminar
 _8523
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