Calabi-Yau Manifolds in Algebraic Geometry
We first define algebraic varieties over an algebraically closed field. Then we discuss complex algebraic varieties from curves, surfaces to higher dimensions. We will emphasize elliptic curves, K3 surfaces, hyper-Kahler manifolds, and more generally, Calabi-Yau manifolds. We try to collect and discuss recent open problems along the way.
Lecturer
Zhiwei Zheng
Date
15th March ~ 15th June, 2022
Website
Prerequisite
basic analysis, algebra, and topology
Reference
Griffiths and Harris: Principle in Algebraic Geometry, Arnaud Beauville: Holomorphic Symplectic Geometry- A Problem List, Daniel Huybrechts: Lectures on K3 Surfaces
Video Public
No
Notes Public
No