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arXiv · 2501.03424

Soergel bimodules and Kazhdan-Lusztig polynomials

Ethan Eugene Wynner
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Abstract

This paper presents a brief exposition of Soergel bimodules with applications to some topics in Kazhdan-Lusztig theory. We ultimately exposit a few of Soergel's main results, which allowed him to give alternative proofs, using his theory, of the Kazhdan-Lusztig conjectures. This paper should be viewed as a (very) condensed outline following the work of Elias, Makisumi, Thiel, and Williamson in their lovely book Introduction to Soergel Bimodules, and is meant for a reader wishing to survey a quite vast subject.

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BibTeXRIS

Ethan Eugene Wynner. 2025-01-06. Soergel bimodules and Kazhdan-Lusztig polynomials. https://arxiv.org/abs/2501.03424

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