Spherical varieties and p-adic families of cohomology classes
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2021
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| _version_ | 1866909273924042752 |
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| author | Loeffler, David Rockwood, Rob Zerbes, Sarah Livia |
| author_facet | Loeffler, David Rockwood, Rob Zerbes, Sarah Livia |
| contents | We prove a "twist-compatibility" result for p-adic families of cohomology classes associated to symmetric spaces. This shows that a single family of classes (lying in a finitely-generated Iwasawa module) interpolates classical cohomology classes of many different weights, including twists by Grössencharacters of possibly non-trivial infinity-type. This subsumes and generalises a number of prior results relating to Euler systems and p-adic L-functions, and we conclude with some novel applications to Euler systems for GSp(4), GSp(4) x GL(2), and GSp(4) x GL(2) x GL(2). |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2106_16082 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Spherical varieties and p-adic families of cohomology classes Loeffler, David Rockwood, Rob Zerbes, Sarah Livia Number Theory 11F67, 11R23, 14M17 We prove a "twist-compatibility" result for p-adic families of cohomology classes associated to symmetric spaces. This shows that a single family of classes (lying in a finitely-generated Iwasawa module) interpolates classical cohomology classes of many different weights, including twists by Grössencharacters of possibly non-trivial infinity-type. This subsumes and generalises a number of prior results relating to Euler systems and p-adic L-functions, and we conclude with some novel applications to Euler systems for GSp(4), GSp(4) x GL(2), and GSp(4) x GL(2) x GL(2). |
| title | Spherical varieties and p-adic families of cohomology classes |
| topic | Number Theory 11F67, 11R23, 14M17 |
| url | https://arxiv.org/abs/2106.16082 |