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SUMMARY:João Lourenço (Bonn)
DTSTART:20220209T170000Z
DTEND:20220209T182000Z
DTSTAMP:20260423T021300Z
UID:RAMpAGe/63
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RAMpAGe/63/"
 >On the p-adic theory of local models II</a>\nby João Lourenço (Bonn) as
  part of Recent Advances in Modern p-Adic Geometry (RAMpAGe)\n\n\nAbstract
 \nThis second talk (based on joint work with Anschütz–Gleason–Richarz
 ) concerns the Scholze–Weinstein conjecture on the representability of v
 -sheaf local models for geometric conjugacy classes of minuscule coweights
 . I'll start by reviewing previously known instances of local models in PE
 L cases by Rapoport–Zink\, and also via power series Grassmannians by Pa
 ppas–Zhu. I'll briefly explain how to slightly refine the latter (joint 
 with Fakhruddin–Haines–Richarz). Building on this\, I'll explain the c
 omparison of p-adic admissible loci in the Witt Grassmannian with those fo
 und in power series Grassmannians. Next\, I'll prove the\nspecialization p
 rinciple for sufficiently nice kimberlites\, which include v-sheaf local m
 odels (even for non-minuscule cocharacters). Finally\, I'm going to explai
 n how to compute the specialization mapping in families\, deducing the Sch
 olze–Weinstein conjecture.\n
LOCATION:https://researchseminars.org/talk/RAMpAGe/63/
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