Basics of differential geometry
This course explains the basics of differential geometry. Starting with a review of manifolds and vector bundles, I will explain connections of vector bundles and principal bundles and their relations, the geometry of Riemannian manifolds, differential operators on manifolds, etc. If time permits, I will also explain the basics of complex manifolds, Kähler manifolds, and symplectic manifolds.
Lecturer
Date
1st March ~ 24th May, 2024
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Friday | 15:20 - 18:40 | Shuangqing-C654 | ZOOM 01 | 928 682 9093 | BIMSA |
Prerequisite
Basics of manifolds, vector bundles
Reference
H. Konno, [Differential geometry] Bibun kikagaku (in Japanese), University of Tokyo Press, 2013.
Audience
Advanced Undergraduate
, Graduate
Video Public
Yes
Notes Public
Yes
Language
English
Lecturer Intro
Kotaro Kawai got a bachelor's degree and a master's degree from the university of Tokyo, and received his Ph.D from Tohoku university in 2013. He was an assistant professor at Gakushuin university in Japan, then he moved to BIMSA in 2022. His research interests are in differential geometry, focusing on manifolds with exceptional holonomy.