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DTSTAMP:20241109T123058Z
UID:648ae47514d08087369894@ist.ac.at
DTSTART:20241017T130000
DTEND:20241017T150000
DESCRIPTION:Speaker: George Lusztig\nhosted by Tamas Hausel\nAbstract: (I)
Fourier transform as a linear map from L^2(R) to L^2(R) has been diagonali
zed by Hermite in the late 1800's using Hermite polynomials.We are interes
ted in the Fourier transform F on the C-vector space of functions on a sym
plectic vector space over the field with two elements. We show that the fo
llowing substitute of Hermite's resultholds: there is a remarkable C-basis
of this vector space in which F acts as a triangular matrix.(II) Let k_p
be an algebraically closed field of characteristic p and let G_p be a redu
ctive connected group over k_p of type independent of p\; let W be the Wey
l group of G_p. We define a partition of G_p into finitely many strata. Ea
ch stratum is a union of conjugacy classes of fixed dimension of G_p. The
set of strata is independent of p.It can be viewed as an enlargement of th
e set of unipotent classes of G_p. It can be identified with the image of
a certain map from the set of conjugacy classes in W to the set of irreduc
ible representations of W.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:George Lusztig: (I) Fourier transform as a triangular matrix / (II)
Strata in reductive groups
URL:https://talks-calendar.ista.ac.at/events/5248
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