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SUMMARY:Weight Structures on Triangulated Categories
DTSTART;VALUE=DATE-TIME:20200122T093000Z
DTEND;VALUE=DATE-TIME:20200122T103000Z
DTSTAMP;VALUE=DATE-TIME:20201025T061920Z
UID:indico-event-5573@indico.math.cnrs.fr
DESCRIPTION:Weight structures give certain filtrations of triangulated cat
egories\; the definition is a certain cousin of that of t-structures.
Particular cases of weight decompositions give stupid filtrations of comp
lexes and cellular towers for spectra. I will also mention interesting
motivic and Hodge-theoretic examples of weight structures along with metho
ds for constructing them. Weight structures yield weight filtrations and
spectral sequences for cohomology as well as certain weight complex funct
ors. In particular\, there exists an exact conservative functor from (r
elative) constructible Voevodsky motives into complexes of Chow motives\,
whereas the corresponding weight spectral sequences vastly generalize Del
igne's ones. Lastly\, the relations between weight structures and t-struc
tures yield new methods for constructing t-structures and proving their p
roperties.\n\nhttps://indico.math.cnrs.fr/event/5573/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/5573/
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