1. Abstract

The motivation for organizing this series of seminar is arised from studying the curvature equation on compact Riemann surface. Although the equation is a nonlinear elliptic equation, the methods to attack this equation are involved with many genius ideas from different disciplines of mathematics. So in this seminar, we mainly discuss some interesting works related to this subject: elliptic integrable system (such as curvature equation and Toda system). The first talk is based on the papers by A. Eremenko and A. Gabrielor on the Shapiro conjecture, and its application to the mean field equation.

2. Outline & Descriptions

Meeting: every Monday

There'll be more speakers scheduled in the future.

The latest news will be updated here.

3. Lecture Note:

Lecture 0  

Lecture 1

Lecture 2

Detailed information of the course: https://ncts.ntu.edu.tw/events_3_detail.php?nid=283

Please click on the YouTube "Playlist" located in the upper right corner of the video to view all the videos.