Wednesday, February 20, 18:30, room 306

Anastasia Sukachyova

Littlewood–Richardson rule and Knutson–Tao puzzles

The purpose of the talk is to define Littlewood-Richardson coefficients which are essentially structure constants of cohomology rings of Grassmannians, flag varieties, Schur and Schubert polynomials. We will discuss two different ways to calculate them: the first is based on Littlewood–Richardson tableaux, while the other relies on Knutson and Tao’s puzzles.

These coefficients appear in enumerative geometry, so we will review a couple of simple examples to understand how they can be used in practice.
All necessary definitions will be given during the talk.