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SUMMARY:Pol van Hoften (King's College London)
DTSTART:20210413T143000Z
DTEND:20210413T153000Z
DTSTAMP:20260423T130312Z
UID:MITNT/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/27/">M
 od $p$ points on Shimura varieties of parahoric level</a>\nby Pol van Hoft
 en (King's College London) as part of MIT number theory seminar\n\n\nAbstr
 act\nThe conjecture of Langlands-Rapoport gives a conjectural description 
 of the mod $p$ points of Shimura varieties\, with applications towards com
 puting the (semi-simple) zeta function of these Shimura varieties. The con
 jecture was proven by Kisin for abelian type Shimura varieties at primes o
 f (hyperspecial) good reduction\, after having constructed smooth integral
  models. For primes of (parahoric) bad reduction\, Kisin and Pappas have c
 onstructed a good integral model and the conjecture was generalised to thi
 s setting by Rapoport. In this talk I will discuss recent results towards 
 the conjecture for these integral models\, under minor hypothesis\, buildi
 ng on earlier work of Zhou. Along the way we will see irreducibility resul
 ts for various stratifications on special fibers of Shimura varieties\, in
 cluding irreducibility of central leaves and Ekedahl-Oort strata.\n
LOCATION:https://researchseminars.org/talk/MITNT/27/
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