Perfect Crystals for Quantum Affine Algebras and Combinatorics of Young Walls

Seok-Jin Kang
Fri, Jul 10, 2009
University of New South Wales, Sydney, Australia
1st PRIMA Congress
In this talk, we will give a detailed exposition of theory of perfect crystals, which has brought us a lot of significant applications. On the other hand, we will also discuss the strong connection between the theory of perfect crystals and combinatorics of Young walls. We will be able to derive LLT algorithm of computing global bases using affine paths. The interesting problem is how to construct affine Hecke algebras out of affine paths.