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SUMMARY:Akhil Mathew (University of Chicago)
DTSTART:20201106T200000Z
DTEND:20201106T210000Z
DTSTAMP:20260407T215014Z
UID:agstanford/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/3
 1/">\\'Etale K-theory and motivic cohomology</a>\nby Akhil Mathew (Univers
 ity of Chicago) as part of Stanford algebraic geometry seminar\n\n\nAbstra
 ct\nTwo key features of algebraic K-theory are its failure to\nsatisfy \\'
 etale descent\, and its motivic filtration in terms of higher\nChow groups
  in the case of smooth schemes over a field (but expected\nmore generally)
 . I will explain a description of \\'etale K-theory\,\nwhich is the univer
 sal approximation to K-theory that satisfies\n\\'etale descent\; this is j
 oint work with Dustin Clausen. Moreover\,\nfollowing the recent work of Bh
 att--Morrow--Scholze on topological\ncyclic homology\, I will also explain
  a construction of (an analog of)\nthe motivic filtration on \\'etale K-th
 eory (and \\'etale motivic\ncohomology) for arbitrary schemes (work in pro
 gress with Bhargav Bhatt\nand Dustin Clausen).\n
LOCATION:https://researchseminars.org/talk/agstanford/31/
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