32 citations · 102 across the 10 of their papers we have counts for
5 papers · 1 filter
Quantum Character Theory
Sam Gunningham, David Jordan, Monica Vazirani
We develop a -analogue of the theory of conjugation equivariant -modules on a complex reductive group . In particular, we define quantum Hotta-Kashiwara…
Symmetries of categorical representations and the quantum Ngô action
David Ben-Zvi, Sam Gunningham
We observe that all classical Hamiltonian systems coming from the invariant polynomials on a reductive Lie algebra g can be integrated in a universal way. This is a consequence of…
A Derived Decomposition for Equivariant -modules
Sam Gunningham
We show that the adjoint equivariant derived category of -modules on a reductive Lie algebra carries an orthogonal decomposition in to blocks indexed by cuspidal…
Highest Weights for Categorical Representations
David Ben-Zvi, Sam Gunningham, Hendrik Orem
We present a criterion for establishing Morita equivalence of monoidal categories, and apply it to the categorical representation theory of reductive groups . We show that the "…
Generalized Springer Theory for D-modules on a Reductive Lie Algebra
Sam Gunningham
Given a reductive group , we give a description of the abelian category of -equivariant -modules on , which specializes to Lusztig's generali…