BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Hecke orbits on Shimura varieties of Hodge type - Pol van Hoften (
 Stanford University)
DTSTART:20220614T133000Z
DTEND:20220614T143000Z
UID:TALK175547@talks.cam.ac.uk
CONTACT:Rong Zhou
DESCRIPTION:Oort conjectured in 1995 that isogeny classes in the moduli sp
 ace of principally polarised abelian varieties in characteristic p are Zar
 iski dense in the Newton strata containing them. In this talk\, we will pr
 esent a proof of this conjecture under some minor hypotheses\, (which in f
 act works for Shimura varieties of Hodge type). An important ingredient in
  our proof is a new theory of "Serre--Tate coordinates" on the formal defo
 rmation spaces of central leaves\, in terms of so-called Dieudonné--Lie a
 lgebras. We also prove new results about monodromy groups of F-isocrystals
  for smooth varieties over a perfect field of characteristic p\, which sho
 uld be of independent interest. This is joint work with Marco D'Addezio.\n
LOCATION:https://maths-cam-ac-uk.zoom.us/j/92192959944?pwd=OVJ3d0pJS3RRaWh
 KOVBuMFJIM3FiQT09
END:VEVENT
END:VCALENDAR