BooksecrCollected Volumepp. 187–232

On toric degenerations of flag varieties

  • Xin Fang

    Universität Köln, Germany

  • Ghislain Fourier

    University of Glasgow, UK

  • Peter Littelmann

    Universität Köln, Germany
On toric degenerations of flag varieties cover
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Abstract

Following the historical track in pursuing -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.