主讲人:孙浩 华南理工大学
时间:2020年11月26日10:00
地点:3号楼332报告厅
举办单位:数理学院
主讲人介绍:2018年在University of Iliinois at Urbana Champaign获得博士学位。2020.9-至今,在华南理工大学工作。研究方向主要是algebraic geometry,也涉及到combinatorics和representation theory的相关内容,主要考虑与Higgs bundle, moduli space, Hurwitz number等相关的问题。
内容介绍:In this talk, I will discuss the construction of the moduli space of coherent sheaves on root stacks in two ways. The first approach is based on a correspondence between parabolic bundles and bundles on root stacks. The second approach is based on the work of Olsson and Starr, and the construction of the moduli space depends on a choice of generating sheaves. I will always take root stacks (or orbifolds) as the example to explain the idea behind the construction. The second construction can be generalized to Deligne-Mumford stacks.