Differential Operators on the Base Affine Space and Quantized Coulomb Branches

Explore a comprehensive lecture on differential operators and quantized Coulomb branches presented by Harold Williams from USC at the M-Seminar, Kansas State University. Delve into joint work with Tom Gannon, examining the algebra of differential operators on the base affine space of SL_n and its connection to the quantized Coulomb branch of a specific 3d N=4 quiver gauge theory. Discover how this research confirms a conjecture by Dancer-Hanany-Kirwan on the universal hyperkähler implosion of SL_n in the semiclassical limit. Investigate the generalization that interprets arbitrary unipotent reductions of T*SL_n as Coulomb branches. Gain insights into a new perspective on the Gelfand-Graev Weyl group symmetry of D(SL_n/U) through this hour-long exploration of advanced mathematical concepts in algebraic geometry and quantum field theory.