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SUMMARY:Guozhen Wang (Shanghai Center for Mathematical Sciences)
DTSTART:20210705T140000Z
DTEND:20210705T150000Z
DTSTAMP:20260423T024529Z
UID:MITTop/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITTop/35/">
 Topological cyclic homology of local fields</a>\nby Guozhen Wang (Shanghai
  Center for Mathematical Sciences) as part of MIT topology seminar\n\n\nAb
 stract\nWe introduce a new method for computing topological cyclic homolog
 y of locally complete intersections over p-adic intergers\, by using relat
 ive hochschild homology and resolving the base ring spectrum with an Adams
  reslolution. Using the Nygaard filtration on the E1-term\, we can constru
 ct algebraic Tate and algebraic homotopy fixed points spectral sequences\,
  which are algebraic and catpture lots of informations in the Tate and hom
 otopy fixed points spectral sequences computing TP and TC^{-1}. Using this
  method\, we can give a uniform way of computing topological cyclic homolo
 gy of local fields of mixed characteristic.\n
LOCATION:https://researchseminars.org/talk/MITTop/35/
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