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DTSTART:20230326T030000
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BEGIN:VEVENT
DTSTAMP:20221003T233820Z
UID:1668081600@ist.ac.at
DTSTART:20221110T130000
DTEND:20221110T150000
DESCRIPTION:Speaker: Simon Riche\nhosted by Tamas Hausel\nAbstract: We will
report on an ongoing project with R. Bezrukavnikov and L. Rider which aim
s at constructing an equivalence of categories lifting to the categorical
level the comparison between the two natural geometric realizations of the
affine Hecke algebra of a reductive group: one in terms of constructible
sheaves on the associated affine flag variety\, and one in terms of cohere
nt sheaves on the Steinberg variety of the Langlands dual group. Such a co
nstruction has been obtained by Bezrukavnikov for coefficients in characte
ristic 0\, and the case we now want to consider is that of positive-charac
teristic coefficients. As of now we have obtained a description of pervers
e sheaves on the affine flag variety in terms of some "Soergel bimodules"\
, which we will use to related these objects to the dual side. As a first
application\, we are able to compute stalks of tilting perverse sheaves on
the affine flag variety in terms of p-Kazhdan-Lusztig polynomials.
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Simon Riche: Perverse sheaves on affine flag varieties and coherent
sheaves on the dual Steinberg variety
URL:https://talks-calendar.app.ist.ac.at/events/3940
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