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SUMMARY:João Lourenço
DTSTART:20201111T160000Z
DTEND:20201111T170000Z
DTSTAMP:20260418T064713Z
UID:LNTS/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/16/">Th
 e Scholze-Weinstein conjecture on local models</a>\nby João Lourenço as 
 part of London number theory seminar\n\n\nAbstract\nInspired by the theory
  of local models of Shimura varieties\, Scholze-Weinstein proposed a conje
 cture predicting representability of certain minuscule closed sub-v-sheave
 s of their p-adic de Rham affine Grassmannian by a projective flat and geo
 metrically reduced normal scheme.\n\nIn my talk\, I'll explain the motivat
 ion behind the problem stemming from Shimura varieties\, review the necess
 ary technical background and ultimately sketch a proof for pseudo-tame gro
 ups without exceptional factors. To achieve this\, I'll determine the Pica
 rd group of the Witt vectors affine Grassmannian as conjectured by Bhatt-S
 cholze. Time permitting\, I might outline a (very much incomplete) strateg
 y for handling exceptional groups.\n
LOCATION:https://researchseminars.org/talk/LNTS/16/
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