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Integrability of matrix coefficients and periods of automorphic forms Offen, Omer
Description
Let $G$ be a $p$-adic reductive group and $H$ a symmetric subgroup. I will present a criterion for $H$-integrability of matrix coefficients of representations of G.
This is joint work with Max Gurevich and a generalization of Casselman's criteria for square integrability.
Chong Zhang applied our results to show that for some symmetric subgroups all $H$-invariant linear forms of square integrable representations emerge as $H$-integrals of matrix coefficients.
In particular, in a global setting, this provides information on the local components of factorizable period integrals of automorphic forms.
Item Metadata
| Title |
Integrability of matrix coefficients and periods of automorphic forms
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2016-07-26T10:41
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| Description |
Let $G$ be a $p$-adic reductive group and $H$ a symmetric subgroup. I will present a criterion for $H$-integrability of matrix coefficients of representations of G.
This is joint work with Max Gurevich and a generalization of Casselman's criteria for square integrability.
Chong Zhang applied our results to show that for some symmetric subgroups all $H$-invariant linear forms of square integrable representations emerge as $H$-integrals of matrix coefficients.
In particular, in a global setting, this provides information on the local components of factorizable period integrals of automorphic forms.
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| Extent |
33 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Technion
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| Series | |
| Date Available |
2017-02-05
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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 |
10.14288/1.0340893
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International