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SUMMARY:George Pappas (Michigan State University)
DTSTART:20260331T190000Z
DTEND:20260331T200000Z
DTSTAMP:20260423T130646Z
UID:MITNT/133
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/133/">
 Toric schemes and integral models for Shimura varieties</a>\nby George Pap
 pas (Michigan State University) as part of MIT number theory seminar\n\nLe
 cture held in Room 4-231 at MIT (Building 4).\n\nAbstract\nI will explain 
 a conjectural description of the local structure of $p$-adic integral mode
 ls for  Shimura varieties with level structures "of type $\\Gamma_1(p)$”
 . This aims to generalize a classical result of Deligne-Rapoport about the
  integral model of the modular curve $X_1(p)$. The description involves tw
 o ingredients: A toric scheme which is constructed directly from the local
  Shimura datum and which is related to the local model of a Shimura variet
 y for parahoric level\, and a Galois cover which is a toric extension of t
 he Lang map. This is joint work with M. Rapoport.\n
LOCATION:https://researchseminars.org/talk/MITNT/133/
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