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SUMMARY:Valentijn Karemaker (UvA University of Amsterdam)
DTSTART:20251029T160000Z
DTEND:20251029T170000Z
DTSTAMP:20260418T070125Z
UID:LNTS/173
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/173/">A
 rithmetic invariants of supersingular abelian varieties</a>\nby Valentijn 
 Karemaker (UvA University of Amsterdam) as part of London number theory se
 minar\n\nLecture held in Imperial College London\, Room 139.\n\nAbstract\n
 We will study the moduli space of abelian varieties in characteristic p an
 d in particular its supersingular locus S_g. We will discuss when this loc
 us is geometrically irreducible\, thereby solving a “class number one p
 roblem” or “Gauss problem” for the number of irreducible component
 s\; and when a polarised abelian variety is determined by its p-divisible
  group\, solving a Gauss problem for central leaves\, which are the loci 
 consisting of points whose associated p-divisible groups are isomorphic. 
 Furthermore\, Oort conjectured that all generic points of S_g have automor
 phism group {+/- 1}. We will present our results that settle Oort’s conj
 ecture for g=2\,3\,4\, and for all higher even dimensions when p >= 5. Thi
 s is based on joint works with Ibukiyama and Yu.\n
LOCATION:https://researchseminars.org/talk/LNTS/173/
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