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VERSION:2.0
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CALSCALE:GREGORIAN
X-WR-CALNAME:MIT Lie Groups Seminar
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260617T071025Z
UID:tag:localist.com\,2008:EventInstance_44561296453503
DTSTART:20231101T200000Z
DTEND:20231101T210000Z
DESCRIPTION:Speaker:  Minh-Tam Trinh (MIT) \n\nTitle: Φ-Harish-Chandra Ser
 ies\, Level-Rank Duality\, and Affine Springer Fibers\n\nAbstract: Broué
 –Malle–Michel noticed that for any m\, the unipotent irreducible chara
 cters of a finite reductive group G can be partitioned into “m-twisted
 ” Harish-Chandra (HC) series with “m-twisted” Howlett–Lehrer param
 etrizations by irreducible characters of relative Weyl groups\, recovering
  the usual notions when m = 1. Ting Xue and I conjecture that for any G an
 d ℓ and m\, the intersection of an ℓ-twisted HC series and an m-twiste
 d HC series is simultaneously parametrized by a union of m-blocks for a ce
 rtain Hecke algebra on the ℓ side and a union of ℓ-blocks for a certai
 n Hecke algebra on the m side\, in a way that matches up blocks. We show t
 hat when G = GL(n)\, this is Uglov’s level-rank duality in disguise. Mor
 e surprisingly\, we conjecture that these bijections are (essentially) rea
 lized by bimodules that Oblomkov–Yun and Boixeda Alvarez–Losev constru
 ct from the cohomology of affine Springer fibers.
GEO:42.358262;-71.090045
LOCATION:Building 2\, 2-142
SUMMARY:MIT Lie Groups Seminar
URL;VALUE=URI:https://calendar.mit.edu/event/mit_lie_groups_seminar_6236
CATEGORIES:Conferences/Seminars/Lectures
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