Basics of differential geometry
Lecturer

Kotaro Kawai (Associate Professor)
Date

2024-03-01 ~ 2024-05-17
Schedule
Weekday    Time    Venue    Online    ID    Password
Fri    15:20-18:40    YMSC-C654    ZOOM    928 682 9093    BIMSA

Prerequisite

Basics of manifolds, vector bundles
Introduction

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, Kahler manifolds, and symplectic manifolds.
Reference

H. Konno, [Differential geometry] Bibun kikagaku (in Japanese), University of Tokyo Press, 2013.
Video Public

Yes
Notes Public

Yes
Audience

Advanced Undergraduate, Graduate
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.
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FROM 202.120.11.*