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SUMMARY:Sudip Pandit (Kings College London)
DTSTART:20251119T160000Z
DTEND:20251119T170000Z
DTSTAMP:20260418T070125Z
UID:LNTS/179
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/179/">D
 elta isocrystal and crystalline cohomology of abelian schemes</a>\nby Sudi
 p Pandit (Kings College London) as part of London number theory seminar\n\
 nLecture held in Imperial College London\, Room 139.\n\nAbstract\nGiven an
  abelian scheme A over a p-adic ring\, using the theory of arithmetic jets
  of A\, one can associate a filtered F-isocrystal\, which is referred to a
 s the delta isocrystal associated with A. The delta isocrystal admits a na
 tural map to the Hodge sequence of the first de Rham cohomology of A. Rece
 ntly\, we have shown that the Frobenius operator on the delta isocrystal i
 s compatible with the crystalline Frobenius operator on the de Rham cohomo
 logy (under the de Rham-crystalline comparison isomorphism). This allows u
 s to derive a comparison result between the delta isocrystal and the cryst
 alline cohomology of abelian schemes in the category of filtered F-isocrys
 tals. This talk is partly based on joint work with Lance Gurney and Arnab 
 Saha.\n
LOCATION:https://researchseminars.org/talk/LNTS/179/
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