Title	Automorphic representations, Whittaker vectors, and black holes
Creator	Persson, Daniel
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-07-27T09:01
Description	Automorphic forms on exceptional Lie groups appear naturally in string theory compactifications. They manifest themselves as couplings in higher derivative corrections and in terms of generating functions of black hole microstates. I will demonstrate how certain Fourier coefficients attached to the minimal automorphic representations of $E_6$, $E_7$, and $E_8$ are determined by maximally degenerate Whittaker vectors. This fact allows for a simple method for calculating explicit Fourier coefficients which are relevant in string theory. Various recent results, conjectures and open problems are outlined.
Extent	40 minutes
Subject	Mathematics; Number theory; Quantum theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Chalmers University of Technology
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	10.14288/1.0340915
URI	http://hdl.handle.net/2429/60425
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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