Séminaires : Séminaire d'Algèbre

Let G be a simply-connected simple algebraic group over the complex numbers, and U its maximal unipotent subgroup. An element of G/U is called a decorated flag. In this talk, we study algebraic structure of a quantum analogue of the ring of regular functions on the configuration space of n decorated flags. I explain its relation with the quantum coordinate rings of G and its Borel subgroup B. It can be considered as a quantum analogue of Wilson lines on the moduli space of decorated twisted G-local systems on the polygons. We also discuss its quantum cluster algebra structure. - This talk is based on joint work with Tsukasa Ishibashi.

This talk will take place in hybrid mode at the Institut Henri Poincaré.