Title: K-polynomials of orbital varieties and Yang--Baxter equation
Speaker: Paul Zinn-Justin (LPTHE, Université Pierre et Marie Curie, Jussieu)
Abstract: Orbital varieties were studied by Joseph in relation with (a version of) the Springer representation. In this talk we shall review this work (more specifically in the form of a construction due to Hotta) and translate it into a statement about equivariant cohomology. We'll focus on a particular choice of orbital varieties, and describe explicitly the connection with quantum integrable systems and the Yang--Baxter equation. We'll then try to generalize these results to equivariant K-theory, departing from the Springer representation viewpoint and leading to a new solution of the Yang--Baxter equation.