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.
Lecturer
Date
16th September ~ 9th December, 2025
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday | 08:50 - 12:15 | A3-1a-204 | ZOOM 08 | 787 662 9899 | BIMSA |
Prerequisite
Basic knowledge of differentiable manifolds.
Syllabus
(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
Reference
[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.
Video Public
Yes
Notes Public
No
Language
English
Lecturer Intro
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.