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

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.


Sheaf theory, linear algebra


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