Student Number Theory Seminar (Spring 2017)

The topic for this semester is Faltings's proof of the Mordell conjecture.

Organizers
David Hansen and Daniel Gulotta
Location and time
Thursdays at 10:10AM in 622 Math

References

Schedule of lectures

Date Speaker Topic References
Jan 19 Dan Gulotta Special talk: Locally analytic distributions and the spectral halo Preprint
Jan 26 David Hansen Overview [CS] 1-2, [T1]
Feb 2 Carl Lian Abelian varieties [S] 2
Feb 9 Dmitrii Pirozhkov Endomorphisms of abelian varieties over finite fields [T1]
Feb 16 Shizhang Li Néron models and reduction theorems [BLR] 1, [H] 4, [dJ]
Feb 23 Qixiao Ma Theory of heights [M] 3-4, [CS] 6, [D] 1, [H] 5
Mar 2 Dan Gulotta Hodge-Tate decomposition for abelian varieties [M] 5, [F], [B], [T2]
Mar 9 Sam Mundy p-divisible groups [M] 6, [T2]
Mar 23 Jingwei Xiao p-divisible groups [M] 6, [T2]
Mar 30 Qixiao Ma Behavior of Faltings height under isogeny [M] 7, [S] 20
Apr 6 Dmitrii Pirozhkov Faltings isogeny theorem [M] 8, [S] 20
Apr 20 Dan Gulotta Shafarevich and Mordell conjectures [CS] 2.6, [H] 10
Apr 27 Qirui Li Raynaud's theorem on finite flat group schemes [M] 9, [Sno], [T3]
May 5* Pak-Hin Lee Ax-Sen-Tate theorem [T2], [B], [H] 9
May 11* Pak-Hin Lee Hodge-Tate representations [T2], [B], [H] 9

* Time/location changes: