Affine MV polytopes and preprojective algebras
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Thu, 31/05/2012 14:00 |
Prof Joel Kamnitzer |
Representation Theory Seminar  |
L3 |
| Mirkovic-Vilonen polytopes are a combinatorial tool for studyingperfect bases for representations of semisimple Lie algebras. Theywere originally introduced using MV cycles in the affine Grassmannian,but they are also related to the canonical basis. I will explain howMV polytopes can also be used to describe components of Lusztig quivervarieties and how this allows us to generalize the theory of MVpolytopes to the affine case. | |||