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SUMMARY:Smoothness of Schubert varieties in affine Grassmannians
DTSTART:20191127T151500
DTEND:20191127T164500
DTSTAMP:20260428T114246Z
UID:4f5ea3f254c8456480194a2237bb5f7bac81d72e18fcbf1259d18c19
CATEGORIES:Conferences - Seminars
DESCRIPTION:Timo Richarz (TU Darmstadt)\nThe geometry in the reduction of 
 Shimura varieties\, respectively moduli spaces of Drinfeld shtukas plays a
  central role in the Langlands program\, and it is desirable to single out
  cases of smooth reduction. Recent works of Kisin\, Pappas and Zhu reduce 
 this question to so called Schubert varieties which are defined purely in 
 terms of linear algebra\, and thus easier to handle.\n\nWe consider Schube
 rt varieties which are associated with a reductive group G over a Laurent 
 series local field\, and a special vertex in the Bruhat-Tits building. If 
 G splits\, a strikingly simple classification is given by a theorem of Eva
 ns and Mirković. If G does not split\, the analogue of their theorem fail
 s: there is a single surprising additional case of "exotic smoothness“. 
 In my talk\, I explain how to obtain a complete list of the smooth and rat
 ionally smooth Schubert varieties. This is joint work with Tom Haines from
  Maryland.
LOCATION:GC A3 30 https://plan.epfl.ch/?room==GC%20A3%2030
STATUS:CONFIRMED
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