Crystals Learning Seminar
In this seminar we will learn about crystals, which are nice combinatorial models for representations of Lie algebras. The first half of the seminar will focus on quantum groups and construction of crystal bases from this perspective (Kashiwara's "grand loop argument"). The second half will focus on combinatorial (Young tableaux, Littelmann path model) and geometric (quiver varieties, MV polytopes) constructions.
MV polytope model for crystals
University of Toronto
15:00 (Monday, Dec. 05, 2011
BA6180, Bahen Center, 40 St. George St.
I will explain the MV polytope model for crystals and how this model can be obtained from three different sources: Lusztig's elementary description of the canonical basis, the components of Lusztig quiver varieties, and the MV cycles in the affine Grassmannian.
Dates in this series
- · Monday, Sep. 26, 2011:
Introduction to quantum groups II (Iva Halacheva)
- · Monday, Nov. 21, 2011:
The affine Grassmannian and geometric Satake correspondence (Brad Hannigan-Daley)
- · Monday, Nov. 28, 2011:
Crystals via Mirković-Vilonen cycles (Brad Hannigan-Daley)
- · Monday, Dec. 05, 2011:
MV polytope model for crystals (Joel Kamnitzer)