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SUMMARY:Andrea Marrama (Centre de Mathématiques Laurent Schwartz\, École
  Polytechnique)
DTSTART:20220331T094500Z
DTEND:20220331T104500Z
DTSTAMP:20260423T053133Z
UID:NTUniPD/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTUniPD/3/">
 Filtrations of Barsotti-Tate groups via Harder-Narasimhan theory.</a>\nby 
 Andrea Marrama (Centre de Mathématiques Laurent Schwartz\, École Polytec
 hnique) as part of Number Theory Seminars at Università degli Studi di Pa
 dova\n\n\nAbstract\nLet $p$ be a prime number and let $R$ be a complete va
 luation ring of rank one and mixed characteristic $(0\,p)$.\nGiven a Barso
 tti-Tate group $H$ over $R$\, its $p$-power-torsion parts possess a natura
 l "Harder-Narasimhan" filtration\, introduced by Fargues in analogy with t
 he theory of vector bundles over a smooth projective curve over an algebra
 ically closed field.\nOne may wonder when these filtrations build up to a 
 filtration of the whole Barsotti-Tate group $H$.\nI will present some suff
 icient conditions in this direction\, especially in the case that the endo
 morphisms of $H$ contain the ring of integers of a finite extension of $\\
 mathbb{Q}_p$.\nThis is partly based on a joint work with Stéphane Bijakow
 ski.\n
LOCATION:https://researchseminars.org/talk/NTUniPD/3/
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