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P-adic L-function of GL(2n) via method of p-adic representation. Gehrmann, Lennart
Description
P -adic L-functions for cohomological cuspidal automorphic representations of GL(2n) were first constructed by Ash and Ginzburg in the case of trivial coefficients. We will discuss a new construction, which works for arbitrary coefficient systems. The construction relies on the representation theory of p-adic groups as well as properties of the cohomology of p-arithmetic groups. This is a generalization of Spiessâ work on the GL(2)-case.
Related references:
L. Gehrmann, On Shalika models and p-adic L-functions, Israel Journal of Mathematics 226 Issue 1, (June 2018), 237â 294
A. Ash and D. Ginzburg, P -adic L-functions for GL(2n), Inventiones mathematicae 116 (1994), 27â 73.
M. Spiess, On special zeros of p-adic L-functions of Hilbert modular forms, Inventiones mathe- maticae 196 (2014), 69â 138
Item Metadata
Title |
P-adic L-function of GL(2n) via method of p-adic representation.
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-10-04T15:32
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Description |
P -adic L-functions for cohomological cuspidal automorphic representations of GL(2n) were first constructed by Ash and Ginzburg in the case of trivial coefficients. We will discuss a new construction, which works for arbitrary coefficient systems. The construction relies on the representation theory of p-adic groups as well as properties of the cohomology of p-arithmetic groups. This is a generalization of Spiessâ work on the GL(2)-case.
Related references: L. Gehrmann, On Shalika models and p-adic L-functions, Israel Journal of Mathematics 226 Issue 1, (June 2018), 237â 294 A. Ash and D. Ginzburg, P -adic L-functions for GL(2n), Inventiones mathematicae 116 (1994), 27â 73. M. Spiess, On special zeros of p-adic L-functions of Hilbert modular forms, Inventiones mathe- maticae 196 (2014), 69â 138 |
Extent |
55.0
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Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Universität Duisburg-Essen
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Series | |
Date Available |
2019-04-03
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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 |
10.14288/1.0377765
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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 Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International