Quantum Geometry of Moduli Spaces of Local Systems
Time: 2020-06-02
Published By: He Liu
Speaker(s): Linhui Shen (Michigan State University)
Time: 09:30-10:30 June 3, 2020
Venue: Online
Let G be a split semi-simple algebraic group over Q. We introduce a natural cluster structure on moduli spaces of G-local systems over surfaces with marked points. As a consequence, the moduli spaces of G-local systems admit natural Poisson structures, and can be further quantized. We will study the principal series representations of such quantum spaces. It will recover many classical topics, such as the q-deformed Toda systems, quantum groups, and the modular functor conjecture for such representations. This talk will mainly be based on joint work with A.B. Goncharov.
Venue: Zoom ID = 681 9707 4659 , PIN = 929593
