Riemann Surfaces
Riemann surfaces have played a fundamental role in mathematics since the 19th century. I will give a detailed introduction to Riemann surfaces focusing on the beautiful interplay between complex analysis and geometry.
Lecturer
Date
16th March ~ 20th June, 2023
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday,Thursday | 09:50 - 11:25 | A3-2a-201 | ZOOM 02 | 518 868 7656 | BIMSA |
Syllabus
Riemann surfaces as 1-dimensional complex manifolds;
calculus on Riemann surfaces;
Uniformization;
geometric structures;
holomorphic bundles over Riemann surfaces
calculus on Riemann surfaces;
Uniformization;
geometric structures;
holomorphic bundles over Riemann surfaces
Reference
S. Donaldson - Riemann surfaces
O. Forster - Lectures on Riemann surfaces
O. Forster - Lectures on Riemann surfaces
Audience
Undergraduate
, Graduate
Video Public
Yes
Notes Public
Yes
Language
English
Lecturer Intro
PhD in 2008, Humboldt Universität Berlin, Germany. Habilitation in 2014, Universität Tübingen, Germany. Professor at Beijing Institute of Mathematical Sciences and Applications since 2022. Research interests: minimal surfaces, harmonic maps, Riemann surfaces, Higgs bundles, moduli spaces, visualisation and experimental mathematics.