Moduli Spaces of Riemann Surfaces
For discussing moduli of Riemann surfaces, besides via algebraic geometry only, one can enter this subject as well via complex analysis, differential geometry and combinatorial topology. We will touch on all of them in this course.
讲师
日期
2025年09月16日 至 12月09日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周二 | 08:50 - 12:15 | A3-1a-204 | ZOOM 08 | 787 662 9899 | BIMSA |
修课要求
Basic knowledge of differentiable manifolds.
课程大纲
(1) Mapping class groups
(2) Hyperbolic surfaces
(3) Quadratic differentials
(4) Ribbon graphs
(5) Deformation theory of Riemann surfaces
(6) Deligne-Mumford compactification
(7) Cohomological properties
(2) Hyperbolic surfaces
(3) Quadratic differentials
(4) Ribbon graphs
(5) Deformation theory of Riemann surfaces
(6) Deligne-Mumford compactification
(7) Cohomological properties
参考资料
[1] Eduard Looijenga, Moduli spaces of Riemann surfaces.
[2] Joe Harris, Ian Morrison, Moduli of curves.
[3] Enrico Arbarello, Maurizio Cornalba, Phillip A. Griffiths, Geometry of algebraic curves, volume II.
[2] Joe Harris, Ian Morrison, Moduli of curves.
[3] Enrico Arbarello, Maurizio Cornalba, Phillip A. Griffiths, Geometry of algebraic curves, volume II.
视频公开
公开
笔记公开
不公开
语言
英文
讲师介绍
Dali Shen is an assistant professor at BIMSA currently. His research is focused on algebraic geometry and complex geometry. He obtained his PhD from Utrecht University. Before joining BIMSA, he held postdoc positions at IMPA and TIFR.