Abstract: Tetrahedron and three-dimensional (3D) reflection equations are generalizations of the Yang-Baxter and 2D reflection equations into 3D systems. By now, a number of interesting solutions have been constructed which are connected to the representation theory of quantized coordinate rings, quantum cluster algebras and so forth. In this talk I will briefly review the subject and present a new solution associated with the Fock-Goncharov quiver as a main example.

(Joint work with Rei Inoue, Xiaoyue Sun, Yuji Terashima and Junya Yagi)

Zoom Link: https://us06web.zoom.us/j/83257513046