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CATEGORIES:Conferences/Seminars/Lectures
DESCRIPTION:Speaker: Roman Bezrukavnikov (MIT)\n\nWhere: In-Person a
t MIT Room 2-135 and on\n\nZoom https://mit.zoom.us/j/94469771032?p
wd=d3JaSVhVV0xDOGpkUDdveXdOYmNXQT09\n\nTitle: "Local L-factors and configu
ration spaces"\n\nAbstract: L-functions play a central role in the theory
of automorphic forms and Langlands conjectures. In particular\, the conject
ures predict existence of certain functions of one variable\, the so called
local L-factors\, assigned to an irreducible representation of a p-adic gr
oup G (with a bit of extra data) and a representation of the dual group. Wh
en G=GL(n) equipped with the standard n-dimensional representation of the d
ual group\, such a construction was proposed by Godement and Jacquet in 197
2.\n\nIn a joint work with Braverman\, Finkelberg and Kazhdan we propose a
generalization of that construction in the functional field case based on g
eometry of the global Grassmannian. The main result is that the constructio
n produces the expected answer for representations of G generated by an Iwa
hori invariant vector\, its proof is based on my earlier work on the catego
rification of the affine Hecke algebra and perverse coherent sheaves on the
nilpotent cone.
DTEND:20240503T210000Z
DTSTAMP:20241111T130921Z
DTSTART:20240503T190000Z
GEO:42.358262;-71.090045
LOCATION:Building 2\, Room 135
SEQUENCE:0
SUMMARY:Infinite-Dimensional Algebra Seminar: Roman Bezrukavnikov (MIT)
UID:tag:localist.com\,2008:EventInstance_45711764693660
URL:https://calendar.mit.edu/event/infinite-dimensional_algebra_seminar_rom
an_bezrukavnikov_mit
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