Whittaker coefficients of geometric Eisenstein series
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929596912369664 |
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| author | Taylor, Jeremy |
| author_facet | Taylor, Jeremy |
| contents | Geometric Langlands predicts an isomorphism between Whittaker coefficients of Eisenstein series and functions on the moduli space of $\check{N}$-local systems. We prove this formula by interpreting Whittaker coefficients of Eisenstein series as factorization homology and then invoking Beilinson and Drinfeld's formula for chiral homology of a chiral enveloping algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_04420 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Whittaker coefficients of geometric Eisenstein series Taylor, Jeremy Representation Theory Geometric Langlands predicts an isomorphism between Whittaker coefficients of Eisenstein series and functions on the moduli space of $\check{N}$-local systems. We prove this formula by interpreting Whittaker coefficients of Eisenstein series as factorization homology and then invoking Beilinson and Drinfeld's formula for chiral homology of a chiral enveloping algebra. |
| title | Whittaker coefficients of geometric Eisenstein series |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2210.04420 |