Orbifold Kahler Groups Related to Mapping Class Groups
发布时间:2019年06月28日
浏览次数:6618
发布者: Meng Yu
主讲人: Philippe Eyssidieux (University Grenoble Alpes)
活动时间: 从 2019-07-26 14:00 到 15:00
场地: Room 77201, Jingchunyuan 78, BICMR
Abstract: Joint with Louis Funar. Motivated by the study of certain algebraic surfaces that were proposed as candidates to be counter examples to the Shafarevich conjecture on holomorphic convexity by Bogomolov and Katzrakov in 1998, we introduce an orbifold compactification of the moduli stack of pointed curves so that TQFT representations of the mapping class groups define representations of the fundamental group. This enables to settle these examples and to show in general that they satisfy the conjecture.