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SUMMARY:Elden Elmanto (Harvard University)
DTSTART:20210517T203000Z
DTEND:20210517T213000Z
DTSTAMP:20260423T004732Z
UID:MITTop/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITTop/33/">
 Trace methods for algebraic stacks.</a>\nby Elden Elmanto (Harvard Univers
 ity) as part of MIT topology seminar\n\n\nAbstract\nWe extend the Dundas-G
 oodwillie-McCarthy theorem concerning the fiber of the cyclotomic trace ma
 p from K theory to topological cyclic homology\, to the context of stable 
 categories. Our main tool is Bondarko's theory of weight structures. Appli
 cations include a new proof of cdh-descent for homotopy K-theory of stacks
  (Hoyois-Krishna) and new cases of Blanc's lattice conjecture in noncommut
 ative Hodge theory (ala Katzarkov-Kontsevich-Pantev). Time permitting\, I 
 will speak about vistas\, including the (equivariant) K-theory of the equi
 variant sphere and p-adic Hodge theory for stacks.\n\nThis is all joint wo
 rk with Vova Sosnilo and partly based on https://arxiv.org/abs/2010.09155\
 n
LOCATION:https://researchseminars.org/talk/MITTop/33/
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