Local L-factors and perverse sheaves on certain loop spaces
Categorical Structures in Harmonic Analysis November 17, 2014 - November 21, 2014
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC Secondary Mathematics Subject Classification No Secondary AMS MSC
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.
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