Description:

This is an introductory course on the area of symplectic geometry especially global theory of symplectic manifold.

The main purpose is to provide self-contained introduction of the field and also a overview of many of its related field and recent development.

For the elementary part I plan to provide full detail of the proof.  There is a technique called method of pseudo-holomorphic curve, which plays an important role in modern development of the field.  I plan to survey it but for this part the lecture is rather sketchy.  The full detail of pseudo-holomorphic curve theory is planned to be explained in some other lecture, likely in this or in the next year.

Prerequisite:

Basic part of manifold theory. Differential form and de-Rham's theorem.

Target Audience: Undergraduate students, Graduate students

Teaching Language: English

Registration: https://www.wjx.top/vm/hvifEx7.aspx#

Recordings: https://archive.ymsc.tsinghua.edu.cn/pacm_course?html=Introduction_and_overview_of_symplectic_geometry.html

Notes:

 note1.pdf