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arXiv · 2405.03648

Proof of the geometric Langlands conjecture II: Kac-Moody localization and the FLE

D. Arinkin·D. Beraldo·J. Campbell·L. Chen·J. Faergeman·D. Gaitsgory·K. Lin·S. Raskin·N. Rozenblyum
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Abstract

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.

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D. Arinkin, D. Beraldo, J. Campbell, L. Chen, J. Faergeman, D. Gaitsgory, K. Lin, S. Raskin, N. Rozenblyum. 2024-05-06. Proof of the geometric Langlands conjecture II: Kac-Moody localization and the FLE. https://arxiv.org/abs/2405.03648

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