# Lie superalgebras and S-duality

### APA

Braverman, A. (2022). Lie superalgebras and S-duality. Perimeter Institute. https://pirsa.org/22060093

### MLA

Braverman, Alexander. Lie superalgebras and S-duality. Perimeter Institute, Jun. 30, 2022, https://pirsa.org/22060093

### BibTex

@misc{ pirsa_PIRSA:22060093, doi = {10.48660/22060093}, url = {https://pirsa.org/22060093}, author = {Braverman, Alexander}, keywords = {Mathematical physics}, language = {en}, title = {Lie superalgebras and S-duality}, publisher = {Perimeter Institute}, year = {2022}, month = {jun}, note = {PIRSA:22060093 see, \url{https://pirsa.org}} }

**Collection**

**Subject**

We present a series of (partly proven) conjectures

describing geometric realizations of

categories of (finite-dimensional) representations of quantum

super-groups U_q(g) corresponding

to Lie super-algebras g with reductive even part and a non-degenerate

invariant form.

We shall also discuss the meaning of these conjectures from the point

of view of local geometric Langlands correspondence as well as a

connection to the work of Ben-Zvi, Sakellaridis and Venkatesh.

Based on joint works with M.Finkelberg, V.Ginzburg and R.Travkin as

well as the work of R.Travkin and R.Yang.