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SUMMARY:Shizhang Li (University of Michigan)
DTSTART:20200702T160000Z
DTEND:20200702T172000Z
DTSTAMP:20260423T052622Z
UID:RAMpAGe/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RAMpAGe/5/">
 Some examples and results on integral p-adic Hodge filtrations</a>\nby Shi
 zhang Li (University of Michigan) as part of Recent Advances in Modern p-A
 dic Geometry (RAMpAGe)\n\n\nAbstract\nGiven a smooth proper scheme over a 
 mixed characteristic DVR\, we try to understand to what extent the special
  fiber knows the Hodge numbers of the generic fiber. I'll provide some exa
 mples as well as a theorem showing that in "good" situations some numbers 
 defined purely using the special fiber actually give the Hodge numbers of 
 the generic fiber. This naturally leads to consideration of Breuil-Kisin p
 rismatic cohomology\, and I'll describe an example which illustrates certa
 in pathological behavior of Hodge-Tate and Hodge-de Rham spectral sequence
 s in mixed characteristic situations.\n
LOCATION:https://researchseminars.org/talk/RAMpAGe/5/
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