paper

PBW degenerations, quiver Grassmannians, and toric varieties

arXiv:2201.03890

Abstract

We present a review on the recently discovered link between the Lie theory,the theory of quiver Grassmannians, and various degenerations of flag varieties. Our starting point is the induced Poincaré--Birkhoff--Witt filtration on the highest weight representations and the corresponding PBW degenerate flag varieties.

arXiv comment16 pages, ICM 2022 proceedings