|DATE||November 22 (Thu), 2018|
|INSTITUTE||Yau Mathematical Science Center|
|TITLE||Resolutions of nilpotent orbit closures via the monopole formula|
The monopole formula provides the Hilbert series of the Coulomb branch for a 3d N=4 gauge theory. After a brief reminder of the set-up, I will discuss how the two geometric notions "fan" and "monoid" can be very fruitful for the understanding of the monopole formula. In particular, these concepts allow to prove properties of the Hilbert series for any gauge theory and to identify a sufficient set of chiral ring generators.