Lecturer

Dali Shen (沈大立, Assistant Professor, BIMSA)
Date

2025-09-16 ~ 2025-12-09
Schedule
Weekday    Time    Venue    Online    ID    Password
Tue    08:50-12:15    A3-1a-204    Zoom    787 662 9899    BIMSA

Prerequisite

Basic knowledge of differentiable manifolds.
Introduction

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.
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
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.
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.
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FROM 202.120.11.*