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SUMMARY:Yihang Zhu (Univ. of Maryland)
DTSTART:20210420T210000Z
DTEND:20210420T220000Z
DTSTAMP:20260423T024836Z
UID:UAANTS/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/18/">
 Irreducible components of affine Deligne-Lusztig varieties</a>\nby Yihang 
 Zhu (Univ. of Maryland) as part of University of Arizona Algebra and Numbe
 r Theory Seminar\n\n\nAbstract\nAffine Deligne-Lusztig varieties naturally
  arise from the study of Shimura varieties. We prove a formula for the num
 ber of their irreducible components\, which was a conjecture of Miaofen Ch
 en and Xinwen Zhu. Our method is to count the number of F_q points\, and t
 o relate it to certain twisted orbital integrals. We then  study the growt
 h rate of these integrals using the Base Change Fundamental Lemma of Cloze
 l and Labesse. In an ongoing work we also give the number of irreducible c
 omponents in the basic Newton stratum of a Shimura variety. This is joint 
 work with Rong Zhou and Xuhua He.\n
LOCATION:https://researchseminars.org/talk/UAANTS/18/
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