On the unramified Eisenstein spectrum
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916788648804352 |
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| author | Kazhdan, David Okounkov, Andrei |
| author_facet | Kazhdan, David Okounkov, Andrei |
| contents | For a split reductive group ${}^L G$ over a global field, we determine the spectrum of the spherical Hecke algebra coming from the unramified Eisenstein series for the minimal parabolic ${}^L B$. This is done using a certain decomposition of the Springer stack $T^*(B \backslash G/ B)$ for the Langlands dual group in the additive group of cobordisms of cohomologically proper derived quotient stacks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_03486 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the unramified Eisenstein spectrum Kazhdan, David Okounkov, Andrei Number Theory Algebraic Geometry Algebraic Topology Representation Theory For a split reductive group ${}^L G$ over a global field, we determine the spectrum of the spherical Hecke algebra coming from the unramified Eisenstein series for the minimal parabolic ${}^L B$. This is done using a certain decomposition of the Springer stack $T^*(B \backslash G/ B)$ for the Langlands dual group in the additive group of cobordisms of cohomologically proper derived quotient stacks. |
| title | On the unramified Eisenstein spectrum |
| topic | Number Theory Algebraic Geometry Algebraic Topology Representation Theory |
| url | https://arxiv.org/abs/2203.03486 |