On toric degenerations of flag varieties
  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. 
Xin Fang and Ghislain Fourier and Peter Littelmann
math.AG math.CO math.RT