Bridging affine vertex algebras and affine Springer fibres
Abstract
In this talk, we explain a program which aims to build relationships between affine Springer theory and representations of simple affine vertex algebras. We will discuss some explicit correspondence for admissible levels, and formulate some new conjectures about representations of simple affine vertex algebras at integer nonadmissible levels and their associated varieties.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Advanced Algebra and Geometry
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Centre International de Rencontres Mathématiques
- Publication date
- 1 January 2026
- Language
- ENG