Program
Bundles over Complex Tori and Abelian Varieties
Student No.:40
Time:Tue 9:50-12:15
Instructor:Yuan Yao  [Tsinghua University]
Place:Conference Room 3, Floor 2, Jinchun Yuan West Building
Starting Date:2017-9-19
Ending Date:2018-1-2

Description:
This is an introductory course to bundles over complex tori and abelian varieties.  We will mainly talk about line bundles over complex tori and the cohomology of them, Fourier-Mukai transform on Abelian varieties, and Jacobians.  We mostly focus on algebraic aspect and probably will not touch Heisenberg groups.

 

Prerequisite:
Sheaf theory, linear algebra

 

Reference:
1,  Christina Birkenhake, Herbert Lange, “Complex Tori”
2,  Alexander Polishchuk, “Abelian Varieties, Theta Functions and the Fourier Transform”