Proof of the geometric Langlands conjecture II: Kac-Moody localization and the FLE
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929499416821760 |
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| author | Arinkin, D. Beraldo, D. Campbell, J. Chen, L. Faergeman, J. Gaitsgory, D. Lin, K. Raskin, S. Rozenblyum, N. |
| author_facet | Arinkin, D. Beraldo, D. Campbell, J. Chen, L. Faergeman, J. Gaitsgory, D. Lin, K. Raskin, S. Rozenblyum, N. |
| contents | This paper is the second in a series of five that together prove the geometric Langlands conjecture. Our goals are two-fold:
(1) Formulate and prove the Fundamental Local Equivalence (FLE) at the critical level;
(2) Study the interaction between Kac-Moody localization and the global geometric Langlands functor of ref. [GLC1].
This paper contains an extensive Appendix, whose primary goals are:
(a) Development the theory of ind-coherent sheaves in infinite type;
(b)Development of the formalism of factorization categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03648 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Proof of the geometric Langlands conjecture II: Kac-Moody localization and the FLE Arinkin, D. Beraldo, D. Campbell, J. Chen, L. Faergeman, J. Gaitsgory, D. Lin, K. Raskin, S. Rozenblyum, N. Algebraic Geometry This paper is the second in a series of five that together prove the geometric Langlands conjecture. Our goals are two-fold: (1) Formulate and prove the Fundamental Local Equivalence (FLE) at the critical level; (2) Study the interaction between Kac-Moody localization and the global geometric Langlands functor of ref. [GLC1]. This paper contains an extensive Appendix, whose primary goals are: (a) Development the theory of ind-coherent sheaves in infinite type; (b)Development of the formalism of factorization categories. |
| title | Proof of the geometric Langlands conjecture II: Kac-Moody localization and the FLE |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2405.03648 |