arXiv subjects

Ethan Eugene Wynner

Publications and source records attributed to Ethan Eugene Wynner.

2 recordsLinked to original sources

arXiv2025

An illustration of formal moduli problems with differential graded Lie algebras

This article provides an exposition to the topic of formal moduli problems, emphasizing its connections with differential graded Lie algebras, and mainly following from Jacob Lurie's DAG X: Formal Moduli Problems. As such, this paper should not be viewed as a presentation of original work, but rather a concise introduction to the subject in the form of a set of organized notes. I hoped to make this paper feel welcoming and insightful for the non-expert enjoyer of derived algebraic geometry, like myself. Enjoy!

math.AG↗

arXiv2025

Soergel bimodules and Kazhdan-Lusztig polynomials

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.

math.RT↗