XIX OMGTP - Faro, Portugal Lectures

Aaron Lauda

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

1. "Diagrammatic approach to categorification of quantum groups I", slides, printable pdf
2. "Diagrammatic approach to categorification of quantum groups II", slides, printable pdf
3. "Diagrammatic approach to categorification of quantum groups II", 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