Abstract
Starting with Schur-Weyl duality, we explain how polynomials can be written down as symmetrizations of highest weight vectors in a tensor power of C^n. Studying these polynomials leads to interesting questions in combinatorics, for example a famous conjecture about Latin Squares by Alon and Tarsi. Our goal is to explain the results of the three recent papers by Kadish and Landsberg, Bürgisser and Ikenmeyer, and Kumar, which all can be treated nicely in this framework.
The second session of this talk will take place on Friday, September 5 from 2:00 pm – 3:00 pm.