PIRSA:26040100 Scientific Series Mathematical physics

DOI10.48660/26040100

Series: Mathematical Physics

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

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

@misc{ pirsa_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},
  year = {2026},
  month = {apr},
  note = {PIRSA:26040100 see, \url{https://pirsa.org}}
}

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.

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