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The Spectral Hecke algebra Feng, Tony
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.
Item Metadata
Title |
The Spectral Hecke algebra
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-10-22T10:11
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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.
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Extent |
52.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: MIT
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Series | |
Date Available |
2020-04-20
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0389877
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International