Title	The Spectral Hecke algebra
Creator	Feng, Tony
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-10-22T10:11
Description	Venkatesh and collaborators have introduced a variety of objects -- the local derived Hecke algebra, the global derived Hecke algebra, and the (global) derived Galois deformation ring -- in order to explain algebraic structures in the cohomology of locally symmetric spaces. I will review this story, and then introduce a new object that we call the "spectral Hecke algebra", which is a Hecke algebra that acts on the <i>spectral</i> side of Langlands, i.e. on moduli spaces of Galois representations. This is joint work with Akshay Venkatesh.
Extent	52.0 minutes
Subject	Mathematics; Number theory; Algebraic geometry; Arithmetic number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: MIT
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2020-04-20
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0389877
URI	http://hdl.handle.net/2429/74065
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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