On toric degenerations of flag varieties

Abstract

Following the historical track in pursuing $T$-equivariant flat toric degenerations of flag varieties and spherical varieties, we explain how powerful tools in algebraic geometry and representation theory, such as canonical bases, Newton-Okounkov bodies, PBW-filtrations and cluster algebras come to push the subject forward.

arXiv comment49 pages including index, to appear in the review volume on the Research Priority Programme SPP 1388 "Representation theory"

Cited by in corpus (1)

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