Dear all,

The upcoming CART seminar is scheduled on June 21st (Friday), 10:00 - 11:00 (Korea time).

Speaker: Hideya Watanabe (Rikkyo University)

Title: Combinatorial $K$-matrices arising from affine quantum symmetric pairs of type $A$

Abstract: A combinatorial $R$-matrix is a solution to the combinatorial Yang-Baxter equation, which plays a vital role in discrete dynamical systems such as box-ball systems. It has been known that the theory of crystal bases arising from quantum groups provides us with a framework to construct combinatorial $R$-matrices systematically. In a dynamical system which has a boundary, the role of the combinatorial Yang-Baxter equation is replaced by the combinatorial reflection equation, whose solutions are called combinatorial $K$-matrices. In this talk, based on a joint work with Hiroto Kusano and Masato Okado, I will explain how to construct combinatorial $K$-matrices systematically by means of the theory of crystal bases arising from affine quantum symmetric pairs of type $A$.

You can join the seminar via the following

Zoom link:  https://us06web.zoom.us/j/84037748851?pwd=MaC7wkX5TTLAQAGRr7L4uVgfs9Vaqd.1

Meeting ID: 840 3774 8851

Passcode: 640815

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