PIRSA:26040100

Video URL

https://pirsa.org/26040100

Coulomb Branch Action on Quasimaps to Quiver Varieties via Hall Algebras

Botta, T.M. (2026). Coulomb Branch Action on Quasimaps to Quiver Varieties via Hall Algebras. Perimeter Institute for Theoretical Physics. https://pirsa.org/26040100

Botta, Tommaso Maria. Coulomb Branch Action on Quasimaps to Quiver Varieties via Hall Algebras. Perimeter Institute for Theoretical Physics, Apr. 17, 2026, https://pirsa.org/26040100 

          @misc{ scivideos_PIRSA:26040100,
            doi = {10.48660/26040100},
            url = {https://pirsa.org/26040100},
            author = {Botta, Tommaso Maria},
            keywords = {Mathematical physics},
            language = {en},
            title = {Coulomb Branch Action on Quasimaps to Quiver Varieties via Hall Algebras},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2026},
            month = {apr},
            note = {PIRSA:26040100 see, \url{https://scivideos.org/pirsa/26040100}}
          }

Tommaso Maria Botta Columbia University

Talk numberPIRSA:26040100
DOI10.48660/26040100
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

The theory of quiver varieties provides a fundamental bridge between representation theory, enumerative geometry, and physics. From 3d mirror symmetry, any quiver variety comes with a dual variety known as the Coulomb branch. A conjecture proposed by Bullimore-Dimofte-Gaiotto-Hilburn-Kim and, independently, Okounkov, asserts that the cohomology of the moduli space of quasimaps to a quiver variety admits a canonical action by the quantized coordinate ring of the dual BFN Coulomb branch. In this talk, I will report on progress on refining this conjecture and proving it. The construction relies on a -1 shifted symplectic structure on the moduli space of quasimaps and the theory of cohomological Hall algebras. Based on work in preparation with Spencer Tamagni.