| Speaker: | Shigenori Nakatsuka (University of Alberta) |
|---|---|
| Title: | Braided tensor categories on W-algebras and dualities |
| Date (JST): | Tue, Sep 12, 2023, 13:30 - 15:00 |
| Place: | Seminar Room A |
| Abstract: |
W-algebras provide a rich family of vertex algebras parametrized by simple Lie algebras and their nilpotent orbits. They are vertex algebraic analogue of associative algebras, called the finite W-algebras, interpolating the enveloping algebras and their centers. The principal W-algebras enjoy a nontrivial isomorphism called the Feigin-Frenkel duality. It can be seen as an upgrade of the isomorphism between the centers for the Langlands dual simple Lie algebras. In this talk, I will explain the recent progress on our understanding of the braided tensor categories arising from W-algebras and dualities on them. |
