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CATEGORIES:Conferences/Seminars/Lectures
DESCRIPTION:Speaker: Elden Elmanto\, Harvard University\n\nTitle: Trace met
hods for algebraic stacks.\n\nAbstract: We extend the Dundas-Goodwillie-McC
arthy theorem concerning the fiber of the cyclotomic trace map from K theor
y to topological cyclic homology\, to the context of stable categories. Our
main tool is Bondarko's theory of weight structures. Applications include
a new proof of cdh-descent for homotopy K-theory of stacks (Hoyois-Krishna)
and new cases of Blanc's lattice conjecture in noncommutative Hodge theory
(ala Katzarkov-Kontsevich-Pantev). Time permitting\, I will speak about vi
stas\, including the (equivariant) K-theory of the equivariant sphere and p
-adic Hodge theory for stacks.\n\nThis is all joint work with Vova Sosnilo
and partly based on https://arxiv.org/abs/2010.09155\n\nClick here to add t
his seminar to your google calendar. If you use a different calendar progra
m\, the ics file for this seminar is here: http://math.mit.edu/topology/to
pology_seminar.ics
DTEND:20210517T213000Z
DTSTAMP:20211022T232835Z
DTSTART:20210517T203000Z
LOCATION:
SEQUENCE:0
SUMMARY:Algebraic Topology Seminar
UID:tag:localist.com\,2008:EventInstance_35732343681142
URL:https://calendar.mit.edu/event/algebraic_topology_seminar_20210517
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