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SUMMARY:Zhiyu Zhang (MIT)
DTSTART:20220405T210000Z
DTEND:20220405T220000Z
DTSTAMP:20260423T024754Z
UID:UAANTS/40
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/40/">
 Modularity and Bruhat--Tits stratification</a>\nby Zhiyu Zhang (MIT) as pa
 rt of University of Arizona Algebra and Number Theory Seminar\n\n\nAbstrac
 t\nIt is well-known that the theta series of a positive definite quadratic
  lattice is a modular form. In this talk\, I will present new modularity r
 esults for arithmetic theta series of some “parahoric" hermitian lattice
 s of sign (n-1\,1)\, which live on unitary Shimura varieties. One key step
  is to understand a local analog of the story\, which happens on unitary R
 apoport-Zink spaces. I will explain the use of Bruhat-Tits stratification 
 studied by S. Cho in the computation.\n
LOCATION:https://researchseminars.org/talk/UAANTS/40/
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