collaborators
Showing math.RTShow all

5 papers · 1 filter

math.RT2026

The universal category and the Gelfand-Graev action

Tom Gannon

We show that the definition and many useful properties of Soergel's functor extend to "universal" variants of the BGG category , such as the category whic…

math.RT2026

The coordinate ring of the universal centralizer via Demazure operators

Tom Gannon, Victor Ginzburg

We give a simple description of the coordinate ring of the universal centralizer associated to a simply connected semisimple group. To this end, we prove a general result on Weil r…

math.RT2026

Differential operators on the base affine space of and quantized Coulomb branches

Tom Gannon, Harold Williams

We show that the algebra of differential operators on the base affine space of is the quantized Coulomb branch of a certain 3d quiver gau…

math.RT2025

Quantization of the universal centralizer and central D-modules

Tom Gannon, Victor Ginzburg

The group scheme of universal centralizers of a complex reductive group has a quantization called the spherical nil-DAHA. The category of modules over this ring is equivalent,…

math.RT2025

The cotangent bundle of and Kostant-Whittaker descent

Tom Gannon

We prove that the algebra of functions on the cotangent bundle of the parabolic base affine space for a reductive group and a parabolic subgroup is isomorphic…