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arXiv · 2103.02329

Langlands correspondence and Bezrukavnikov's equivalence

Anna Romanov·Geordie Williamson
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Abstract

These are lecture notes (by the first author) from a course (by the second author) given over two extended semesters at the University of Sydney. The first part provides an introduction to the Langlands correspondence from an arithmetical point of view. The second part gives enough background in geometric representation theory to understand Bezrukavnikov's equivalence, which is a categorification of Kazhdan and Lusztig's two realizations of the affine Hecke algebra.

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Anna Romanov, Geordie Williamson. 2021-03-03. Langlands correspondence and Bezrukavnikov's equivalence. https://arxiv.org/abs/2103.02329

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