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YMSC Topology Seminar | Points on spheres, character varieties, and Stokes matrices 图片

来源: 11-21

时间:Tues., 16:00-17:00, Nov.21, 2023

地点:Shuangqing Complex 双清综合楼, C654 Zoom ID: :405 416 0815, PW: 111111

组织者:陈伟彦、高鸿灏、黄意、江怡 、林剑锋

主讲人:Yu-Wei FAN 范祐维, YMSC

Abstract:

The moduli spaces of points on n-spheres carry natural actions of braid groups. For n=0, 1, and 3, we prove that these symmetries extend to actions of mapping class groups of certain positive genus surfaces, through exceptional isomorphisms with certain moduli of local systems. Moreover, the isomorphisms map the Coxeter invariants of points on spheres to the boundary monodromy of the corresponding local systems. We also apply this connection to the study of Stokes matrices and exceptional collections. This talk is based on a prior joint work with Junho Peter Whang.

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