Title	A probabilistic approach to the Shintani-Casselman-Shalika formula
Creator	Chhaibi, Reda
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-07-25T08:59
Description	Recall that Jacquet's Whittaker function for a group \(G\), in the non-Archimedean case, is essentially proportional to a character of an irreducible representation of the Langlands dual group - a Schur function in the case of \(\text{GL}_n\). This statement is known as the Shintani-Casselman-Shalika formula. In my opinion, Shintani's proof for \(\text{GL}_n\) is remarkably different from the more general proof by Casselman-Shalika. In this talk, I will present a probabilistic proof that is the natural generalisation of Shintani's. It explains the appearance of the Weyl character formula from a reflection principle for random walks.
Extent	46 minutes
Subject	Mathematics; Number theory; Quantum theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Institut de Mathématiques de Toulouse
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-02-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0340867
URI	http://hdl.handle.net/2429/60391
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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