Derived structures in the Langlands Correspondence

Tony Feng; Michael Harris

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arXiv · 2409.03035

Derived structures in the Langlands Correspondence

Tony Feng·Michael Harris

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Abstract

We survey several recent examples of derived structures emerging in connection with the Langlands correspondence. Cases studies include derived Galois deformation rings, derived Hecke algebras, derived Hitchin stacks, and derived special cycles. We also highlight some open problems that we expect to be important for future progress.

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Tony Feng, Michael Harris. 2024-09-04. Derived structures in the Langlands Correspondence. https://arxiv.org/abs/2409.03035

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