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VERSION:2.0
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CATEGORIES:Lecture / Talk / Workshop
DESCRIPTION:Vasily Krylov\, MIT\n\n\nTitle: From geometric realizations of
affine Hecke algebras to character formulas\n\n\nAbstract: I will explain a
n approach allowing to extract character formulas for irreducible \hat{g}-m
odules at the positive level from the geometry of some open subvarieties of
Steinberg varieties. The approach uses Bezrukavnikov’s “exotic coherent” c
ategorification of the canonical basis of the affine Hecke algebra for g. W
e will discuss the first nontrivial example and will see that it leads to e
xplicit character formulas for all irreducible modules (with integral highe
st weights) in categories O for certain Vertex algebras coming from the 4D/
2D correspondence. Based on joint works with Bezrukavnikov\, Kac\, and Suzu
ki.
DTEND:20240419T000000Z
DTSTAMP:20240612T215250Z
DTSTART:20240418T230000Z
GEO:34.022409;-118.291027
LOCATION:Kaprielian Hall (KAP)\, 414
SEQUENCE:0
SUMMARY:Caltech/USC Algebra & Geometry Seminar\, Held at USC: From geometri
c realizations of affine Hecke algebras to character formulas
UID:tag:localist.com\,2008:EventInstance_46138491001784
URL:https://calendar.usc.edu/event/caltechusc-algebra-geometry-seminar-held
-at-usc-from-geometric-realizations-of-affine-hecke-algebras-to-character-f
ormulas
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