Shtukas for reductive groups and Langlands correspondence for function fields
| Autor: | Lafforgue, Vincent |
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| Rok vydání: | 2018 |
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| Druh dokumentu: | Working Paper |
| Popis: | We discuss recent developments in the Langlands program for function fields, and in the geometric Langlands program. In particular we explain a canonical decomposition of the space of cuspidal automorphic forms for any reductive group G over a function field, indexed by global Langlands parameters. The proof uses the cohomology of G-shtukas with multiple modifications and the geometric Satake equivalence. Comment: ICM report |
| Databáze: | arXiv |
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