Lie superalgebras and S-duality


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


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


          @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}}

Alexander Braverman University of Toronto


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.