Moduli spaces of algebraic curves and differential forms
This course provides an introduction to the theory of moduli spaces associated with complex algebraic curves and with various types of differential forms defined on them. We will also discuss different compactifications of these spaces and their applications to enumerative geometry and dynamical systems.
讲师
日期
2025年10月14日 至 12月31日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周二,周三 | 10:40 - 12:15 | A3-1a-205 | ZOOM 04 | 482 240 1589 | BIMSA |
修课要求
Undergraduate general topology and complex analysis
课程大纲
Part 1: Riemann surfaces and their moduli spaces
Part 2: Nodal curves and Deligne-Mumford compactification of the moduli space of algebraic curves
Part 3: Moduli spaces of differentials and their geometric interpretation as translation surfaces
Part 4: Multi-scale compactification of strata of differentials
Part 5: Applications to enumerative geometry and dynamical systems: Masur-Veech volumes of strata and classification of orbit closures in relation with the magic wand theorem of Eskin-Mirazakhani-Mohammadi
Part 2: Nodal curves and Deligne-Mumford compactification of the moduli space of algebraic curves
Part 3: Moduli spaces of differentials and their geometric interpretation as translation surfaces
Part 4: Multi-scale compactification of strata of differentials
Part 5: Applications to enumerative geometry and dynamical systems: Masur-Veech volumes of strata and classification of orbit closures in relation with the magic wand theorem of Eskin-Mirazakhani-Mohammadi
听众
Undergraduate
, Advanced Undergraduate
, Graduate
, 博士后
, Researcher
视频公开
公开
笔记公开
公开
语言
英文
讲师介绍
Tahar是BIMSA助理研究员。在加入BIMSA之前，他曾在魏茨曼科学研究所担任高级博士后研究员。他致力于平面上各种几何结构的模空间研究，包括平移和扩张结构、平坦度规和锥球度规。Guillaume-Tahar最近的研究兴趣涉及线性微分算子、isoresidual fibrations和simplicial arrangements of lines.