Springer Theory for Quantizations of Coulomb Branches

Justin Hilburn, University of Pennsylvania

Many interesting algebras such as U(sl_n), truncated shifted Yangians, and hypertoric enveloping algebras arise naturally as quantizations of Coulomb branches of 3d N=4 theories. I will show that these algebras act naturally on the homology of "generalized" affine Springer fibers. This is joint work with Joel Kamnitzer and Alex Weekes.

MC 5403