A bstract We consider several topologically twisted Chern-Simons-matter theories and
propose boundary VOAs whose module categories should model the category of line …

Let $(\bar {M},\omega) $ be a compact symplectic manifold with convex boundary and $ c_1
(T\bar {M})= 0$. Suppose that $(\bar {M},\omega) $ is equipped with a convex Hamiltonian …

We describe the topological A and B twists of 3d N= 4 theories of hypermultiplets gauged by
N= 4 vector multiplets as certain deformations of the holomorphic–topological (HT) twist of …

We give an account of the theory of factorization spaces, categories, functors, and algebras,
following the approach of [Ras1]. We apply these results to give geometric constructions of …

Symplectic resolutions are an exciting new frontier of research in representation theory. One
of the most fascinating aspects of this study is symplectic duality: the observation that these …

To a conical symplectic resolution with Hamiltonian torus action, Braden--Proudfoot--Licata--
Webster associate a category O, defined using deformation quantization (DQ) modules. It …

Given a semisimple element in the loop Lie algebra of a reductive group, we construct a
quasi-coherent sheaf on a partial resolution of the trigonometric commuting variety of the …

We develop a theory of parabolic induction and restriction functors relating modules over
Coulomb branch algebras, in the sense of Braverman-Finkelberg-Nakajima. Our functors …

These notes cover the lectures of the first named author at 2021 IHES Summer School on
“Enumerative Geometry, Physics and Representation Theory” with additional details and …

We develop a theory of equivariant factorization algebras on varieties with an action of a
connected algebraic group G, extending the definitions of Francis-Gaitsgory and Beilinson …