The upcoming CART seminar is scheduled for May 23rd (Fri), 9:00 - 10:00 (Korea time).

Speaker: Daniel Bump (Stanford University, USA)

Title: Solvable Lattice Models and Yang-Baxter Groupoids

Abstract: We will review some applications of the Yang-Baxter equation to proving that certain partition functions represent functions of interest to combinatorialists such as Schur polynomials, Hall-Littlewood polynomials or Schubert polynomials. The underlying mechanism is the parametrized Yang-Baxter equation. Typically these are regarded as coming from quantum groups, and we will see how for the six-vertex model there is a contrast between the "free-fermionic" case relying on the quantum group U_q(sl(1|1)) and the non-free-fermionic case relying on U_q(sl(2)). A deeper look at the non-free-fermionic case leads to Naprienko's six-vertex groupoid. We will argue that groupoid parametrized Yang-Baxter equations may be common, and give another example of a groupoid parametrized Yang-Baxter equation in the five-vertex model. This talk will rely on joint work with Brubaker, Buciumas and Gustafsson, and with Naprienko.

You can join the seminar via the following

Zoom link: https://us06web.zoom.us/j/82269442887?pwd=7DdbmNqDVY1SIjfoNzXBP3XBGarK5V.1

Meeting ID: 822 6944 2887

Password: 294582

Please feel free to forward this to anyone who might be interested. You can check out further information on CART seminar on our website (https://sites.google.com/view/cart-kias/).

Looking forward to seeing you at the seminar!

Best regards,

Sin-Myung Lee