Algebraic Geometry Learning Seminar 
Abelian varieties
Spring 2018
Wednesdays 4:30pm
We will be largely following Milne's notes. Mumford's book is more detailed and contains a complete proof of the Theorem of the Cube.
Here are some suggested topics for the last three talks:
 the Tate conjecture
 moduli of abelian varieties
 geometric finiteness theorems
 the MordellWeil theorem

Feb 28 2018
Harvard
Koji Shimizu
Overview and analytic theory (Sections 1 and 2)

Mar 21 2018
Harvard
Waqar Shah
Rigidity and rational maps into abelian varieties (Sections 1 and 3)

Mar 23 2017
Harvard
Si Ying Lee
The theorem of the cube (Section 4)

Mar 28 2017
Harvard
TBA
Ample divisors on abelian varieties, isogenies (Sections 5 and 6)

Apr 4 2017
Harvard
TBA
The dual of an abelian variety (Sections 7 and 8)

Apr 11 2017
Harvard
TBA
Endomorphisms and polarizations of abelian varieties (Sections 9 and 10)

Apr 18 2017
Harvard
TBA
Abelian varieties over finite fields (Section 16)

Apr 25 2017
Harvard
TBA
TBA

May 2 2017
Harvard
TBA
TBA

May 9 2017
Harvard
TBA
TBA
Archive from previous years:
Spring 2013,
Fall 2013,
Spring 2014,
Fall 2014,
Spring 2015,
Fall 2015,
Spring 2016,
Fall 2016, and
Spring 2017.