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On toric degenerations of flag varieties (1609.01166v1)
Published 5 Sep 2016 in math.AG, math.CO, and math.RT
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.