Title	Hypoelliptic Laplacian and the trace formula
Creator	Bismut, Jean-Michel
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-04-19T09:05
Description	The hypoelliptic Laplacian gives a natural interpolation between the Laplacian and the geodesic flow. This interpolation preserves important spectral quantities. I will explain its construction in the context of compact Lie groups: in this case, the hypoelliptic Laplacian is the analytic counterpart to localization in equivariant cohomology on the coadjoint orbits of loop groups. The construction for noncompact reductive groups ultimately produces a geometric formula for the semisimple orbital integrals, which are the key ingredient in Selberg trace formula. In both cases, the construction of the hypoelliptic Laplacian involves the Dirac operator of Kostant.
Extent	50.0
Subject	Mathematics; Differential geometry; Topological groups, lie groups
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Université Paris-Sud
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-27
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377597
URI	http://hdl.handle.net/2429/69282
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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