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cart-seminar@snurep.crystalline.site

June 2024

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Seminar announcement (Hideya Watanabe, June 21 (Fri), 11:00AM)
by 이신명 20 Jun '24

20 Jun '24
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
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