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DTSTAMP:20260406T024356Z
UID:1647518400@ist.ac.at
DTSTART:20220317T130000
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DESCRIPTION:Speaker: Quoc P. Ho\nhosted by Tamas Hausel\nAbstract: I will p
 resent joint work with Penghui Li on our theory of graded sheaves on Arti
 n stacks. Our sheaf theory comes with a six-functor formalism\, a perverse
  t-structure in the sense of Beilinson--Bernstein--Deligne--Gabber\, and 
 a weight (or co-t-)structure in the sense of Bondarko and Pauksztello\, a
 ll compatible\, in a precise sense\, with the six-functor formalism\, pe
 rverse t-structures\, and Frobenius weights on ell-adic sheaves. The theor
 y of graded sheaves has a natural interpretation in terms of mixed geometr
 y à la Beilinson--Ginzburg--Soergel and provides a uniform construction
  thereof. In particular\, it provides a general construction of graded li
 fts of many categories arising in geometric representation theory and cat
 egorified knot invariants. Historically\, constructions of graded lifts we
 re done on a case-by-case basis and were technically subtle\, due to Frobe
 nius' non-semisimplicity. Our construction sidesteps this issue by semi-si
 mplifying the Frobenius action itself. As an application\, I will conclude
  the talk by showing that the category of constructible B-equivariant gra
 ded sheaves on the flag variety G/B is a geometrization of the DG-categor
 y of bounded chain complexes of Soergel bimodules.
LOCATION:https://mathseminars.org/seminar/AGNTISTA\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Quoc P. Ho: Revisiting mixed geometry
URL:https://talks-calendar.ista.ac.at/events/3532
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