K-theoretic Hall algebras and Coulomb branches
By Andrei Negut
In joint work with Shivang Jindal, we construct a surjective homomorphism from the loop nilpotent K-theoretic Hall algebra of a tripled quiver (a Higgs branch like object) to the Coulomb branch algebra of the same quiver gauge theory. We emphasize the shuffle algebra which represents the combinatorial underpinning of both branches.