Kyoto lectures

Aaron Lauda

Here are four beamer slide presentations introducing and explaining my joint work with Mikhail Khovanov on categorification of quantum groups.

1. "Categorification of quantum sl2", slides, printable pdf
2. "Categorification of one half of the quantum group (Introduction to rings R(v))", slides, printable pdf
3. "Categorification of quantum sln", slides, printable pdf
4. "Cyclotomic quotients of rings R(v)", slides, printable pdf

These lectures are based on the following papers:

1. A categorification of quantum sl(2), A.L, arXiv:0803.3652
2. Categorified quantum sl(2) and equivariant cohomology of iterated flag varieties, A.L, arXiv:0803.3848
3. A diagrammatic approach to categorification of quantum groups I, Mikhail Khovanov and A.L., arXiv:0803.4121
4. A diagrammatic approach to categorification of quantum groups II, Mikhail Khovanov and A.L., arXiv:0804.2080
5. A diagrammatic approach to categorification of quantum groups III, Mikhail Khovanov and A.L., arXiv:0807.3250
6. Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras , J. Brundan, A. Kleshchev, arXiv:0808.2032
7. Homogeneous Representations of Khovanov-Lauda Algebras, A. Kleshchev, A Ram, arXiv:0809.0557

Related papers:

1. Derived equivalences for symmetric groups and sl2-categorification, J.Chuang and R. Rouquier, arXiv:math/0407205
2. 2-Kac-Moody algebras , R. Rouquier, arXiv:0812.5023