PBW degenerations, quiver Grassmannians, and toric varieties
Representation Theory
2022-01-13 v2 Algebraic Geometry
Combinatorics
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 Poincar\'{e}--Birkhoff--Witt filtration on the highest weight representations and the corresponding PBW degenerate flag varieties.
Keywords
Cite
@article{arxiv.2201.03890,
title = {PBW degenerations, quiver Grassmannians, and toric varieties},
author = {Evgeny Feigin},
journal= {arXiv preprint arXiv:2201.03890},
year = {2022}
}
Comments
16 pages, ICM 2022 proceedings