Affine MV polytopes and preprojective algebras

Mardi 5 juin 2012 16:00-17:00 - Kamnitzer Joel - Toronto

Résumé : Mirkovic-Vilonen polytopes are a combinatorial tool for studying perfect bases for representations of semisimple Lie algebras.  They were originally introduced using MV cycles in the affine Grassmannian, but they are also related to the canonical basis.  I will explain how MV polytopes can also be used to describe components of Lusztig quiver varieties and how this allows us to generalize the theory of MV polytopes to the affine case.

Lieu : bât. 425 - 113-115

Affine MV polytopes and preprojective algebras  Version PDF
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