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UID:6467@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20210401T160000
DTEND;TZID=Europe/Paris:20210401T170000
DTSTAMP:20241120T201716Z
URL:https://www.i2m.univ-amu.fr/evenements/mod-p-points-on-shimura-varieti
 es-of-parahoric-level/
SUMMARY:Pol Van Hoften (King's College London math department): Mod p point
 s on Shimura varieties of parahoric level
DESCRIPTION:Pol Van Hoften: \n\n\n\n\n\n\nThe conjecture of Langlands-Rapop
 ort gives a conjectural description of the mod p points of Shimura varieti
 es\, with applications towards computing the (semi-simple) zeta function o
 f these Shimura varieties. The conjecture was proven by Kisin for abelian 
 type Shimura varieties at primes of (hyperspecial) good reduction\, after 
 having constructed smooth integral models. For primes of (parahoric) bad r
 eduction\, Kisin and Pappas have constructed a good integral model and the
  conjecture was generalised to this setting by Rapoport. In this talk I wi
 ll discuss recent results towards the conjecture for these integral models
 \, under minor hypothesis\, building on earlier work of Zhou. Along the wa
 y we will see irreducibility results for various stratifications on specia
 l fibers of Shimura varieties\, including irreducibility of central leaves
  and Ekedahl-Oort strata.\n\n\n\n\n\n\n\n\n&thinsp\;\nhttps://arxiv.org/ab
 s/2010.10496\n\n&thinsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 021/03/Pol_van_Hoften.jpg
CATEGORIES:Séminaire,Représentations des Groupes Réductifs,Virtual
 event
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