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SUMMARY:Haoyang Guo (Michigan)
DTSTART:20201015T160000Z
DTEND:20201015T172000Z
DTSTAMP:20260423T021253Z
UID:RAMpAGe/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RAMpAGe/19/"
 >Hodge-Tate decomposition for non-smooth rigid spaces</a>\nby Haoyang Guo 
 (Michigan) as part of Recent Advances in Modern p-Adic Geometry (RAMpAGe)\
 n\n\nAbstract\nGiven a smooth projective variety over a $p$-adic field\, i
 ts $p$-adic étale cohomology admits a natural Galois equivariant decompos
 ition\, called Hodge-Tate decomposition. The decomposition builds a connec
 tion between the underlying $p$-adic Galois representation and the cohomol
 ogy of differentials\, relating arithmetic and geometric information altog
 ether. In this talk\, we generalize Hodge-Tate decomposition to non-smooth
  rigid spaces\, and show how to compute $p$-adic étale cohomology via coh
 omology of Deligne-Du Bois complexes.\n
LOCATION:https://researchseminars.org/talk/RAMpAGe/19/
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