BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Joseph Muller (NCTS\, National Taiwan University) DTSTART:20260312T070000Z DTEND:20260312T080000Z DTSTAMP:20260813T044050Z UID:Postech-PMI-NT/12 DESCRIPTION:Title: Bruhat-Tits stratification for the GU(1\,n-1) Shimura variety with parahoric reduction over an inert prime\nby Joseph Muller (NCTS\, Nat ional Taiwan University) as part of Postech-PMI Number Theory Seminar\n\n\ nAbstract\nThe basic locus of certain Shimura varieties is known to be str atified by (classical) Deligne-Lusztig varieties. Such a stratification is usually called the Bruhat-Tits stratification\, because the incidence rel ation is expected to be determined by the Bruhat-Tits building of some rel ated p-adic group. By the work of Görtz-He-Nie on affine Deligne-Lusztig varieties\, we know precisely which Shimura varieties must admit a Bruhat- Tits stratification. However\, determining the actual incidence relations usually requires a case-by-case analysis.\nIn this talk\, we consider PEL unitary Shimura varieties of signature (1\,n-1) over an inert prime. For t hese varieties\, so far the Bruhat-Tits stratification had only been descr ibed for hyperspecial level (Vollaard-Wedhorn) and maximal parahoric level (Cho). Building upon these works\, we describe the stratification for arb itrary parahoric levels. If time permits\, we will discuss how the Bruhat- Tits stratification compares with the EKOR strata on the basic locus.\n LOCATION:https://researchseminars.org/talk/Postech-PMI-NT/12/ END:VEVENT END:VCALENDAR