Quantum Geometry of Moduli Spaces of Local Systems
发布时间：2020年06月02日
浏览次数：6175
发布者: He Liu
主讲人： Linhui Shen (Michigan State University)
活动时间： 从 2020-06-03 09:30 到 10:30
场地： 线上
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
