Title: Tensor structures on representations of Yangians
Speaker: Sachin Gautam (Ohio State University)
Abstract: In this talk I will go over the definition of the Yangian as an associative algebra, and two seemingly different ways to tensor its representations. I will present a method of constructing the unique twist which conjugates one tensor product to the other, based on the existence/uniqueness results for the solutions of PDEs near non-singular points. I will also show one very explicit formula for this twist, obtained in our joint work (Gautam-Toledano Laredo-Wendlandt). Time permitting, we will speculate on its applications to geometry, integrability and mathematical physics.
Seminar URL: https://research.math.osu.edu/reps/