Title	Kloosterman families, quantum cohomology, and geometric Langlands
Creator	Templier, Nicolas
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-07-25T14:14
Description	We prove cases of Rietsch mirror conjecture that the Dubrovin quantum connection for projective homogeneous varieties is isomorphic to the pushforward D-module attached to Berenstein-Kazhdan geometric crystals. The idea is to recognize the quantum connection as Galois and the geometric crystal as automorphic. We reveal surprising relations with the works of Frenkel-Gross, Heinloth-Ngo-Yun and Zhu on Kloosterman sheaves. The isomorphism comes from global rigidity results where Hecke eigensheaves are determined by their local ramification. It implies combinatorial identities for the counts of rational curves, the Peterson variety presentation and other consequences. Work with Thomas Lam.
Extent	48 minutes
Subject	Mathematics; Number theory; Quantum theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Cornell University
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	10.14288/1.0340869
URI	http://hdl.handle.net/2429/60393
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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