University of Sydney Algebra Seminar

Hechun Zhang (Tsinghua University, Beijing)

Friday 20th May, 12.05-12.55pm, Carslaw 275

Dual canonical basis

I will talk about the dual canonical basis of type A. Mainly, I will focus on the following topics:

1. The construction of the dual canonical basis of type A.
2. The bar action and the exponential nature.
3. The positivity of the multiplication.
4. The relationship between dual canonical basis and the subalgebra of invariants.