PIRSA:24100117

Chiralization of cluster structures

Bershtein, M. (2024). Chiralization of cluster structures. Perimeter Institute. https://pirsa.org/24100117

Bershtein, Mikhail. Chiralization of cluster structures. Perimeter Institute, Oct. 17, 2024, https://pirsa.org/24100117 

          @misc{ pirsa_PIRSA:24100117,
            doi = {10.48660/24100117},
            url = {https://pirsa.org/24100117},
            author = {Bershtein, Mikhail},
            keywords = {Mathematical physics},
            language = {en},
            title = {Chiralization of cluster structures},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {oct},
            note = {PIRSA:24100117 see, \url{https://pirsa.org}}
          }

Mikhail Bershtein

Talk number
PIRSA:24100117
Collection
Talk Type
Subject
Abstract
The chiralization in the title denotes a certain procedure which turns cluster X-varieties into q-W algebras. Many important notions from cluster and q-W worlds, such as mutations, global functions, screening operators, R-matrices, etc emerge naturally in this context. In particular, we discover new bosonizations of q-W algebras and establish connections between previously known bosonizations. If time permits, I will discuss potential applications of our approach to the study of 3d topological theories and local systems with affine gauge groups.   Based on a joint project with J. Shiraishi, J.E. Bourgine, B. Feigin, A. Shapiro, and G. Schrader.