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Local L-factors and perverse sheaves on certain loop spaces

Categorical Structures in Harmonic Analysis November 17, 2014 - November 21, 2014

November 18, 2014 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Alexander Braverman (Brown University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14096

Abstract

We present a conjectural construction of local L-factors for representations of a reductive group G over a local non-archimedian field of positive characteristic (associated with arbitrary algebraic representation of the Langlands dual group).The construction involves perverse sheaves on loop spaces into some algebraic semi-groups.

We prove that our construction gives the right answer for those representations of G which have an Iwahori-fixed vector. This is a joint work with R.Bezrukavnikov, M.Finkelberg and D.Kazhdan.

Supplements
22333?type=thumb Braverman Notes 908 KB application/pdf Download
Video/Audio Files

14096

H.264 Video 14096.mp4 362 MB video/mp4 rtsp://videos.msri.org/data/000/022/228/original/14096.mp4 Download
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