arXiv Analytics

Sign in

arXiv:2201.03890 [math.RT]AbstractReferencesReviewsResources

PBW degenerations, quiver Grassmannians, and toric varieties

Evgeny Feigin

Published 2022-01-11, updated 2022-01-12Version 2

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.

Comments: 16 pages, ICM 2022 proceedings
Categories: math.RT, math.AG, math.CO
Related articles: Most relevant | Search more
arXiv:1202.5848 [math.RT] (Published 2012-02-27, updated 2012-02-28)
Degenerate $SL_n$: representations and flag varieties
arXiv:2112.06291 [math.RT] (Published 2021-12-12, updated 2023-12-13)
Coefficient Quivers, $\mathbb{F}_1$-Representations, and Euler Characteristics of Quiver Grassmannians
arXiv:1803.06590 [math.RT] (Published 2018-03-18)
Cell Decompositions for Rank Two Quiver Grassmannians

Links

Toolbox