Student Number Theory Seminar (Spring 2017)

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

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


Schedule of lectures

Jan 19Dan GulottaSpecial talk: Locally analytic distributions and the spectral haloPreprint
Jan 26David HansenOverview[CS] 1-2, [T1]
Feb 2Carl LianAbelian varieties[S] 2
Feb 9Dmitrii PirozhkovEndomorphisms of abelian varieties over finite fields[T1]
Feb 16Shizhang LiNéron models and reduction theorems[BLR] 1, [H] 4, [dJ]
Feb 23Qixiao MaTheory of heights[M] 3-4, [CS] 6, [D] 1, [H] 5
Mar 2Dan GulottaHodge-Tate decomposition for abelian varieties[M] 5, [F], [B], [T2]
Mar 9Sam Mundyp-divisible groups[M] 6, [T2]
Mar 23Jingwei Xiaop-divisible groups[M] 6, [T2]
Mar 30Qixiao MaBehavior of Faltings height under isogeny[M] 7, [S] 20
Apr 6Dmitrii PirozhkovFaltings isogeny theorem[M] 8, [S] 20
Apr 20Dan GulottaShafarevich and Mordell conjectures[CS] 2.6, [H] 10
Apr 27Qirui LiRaynaud's theorem on finite flat group schemes[M] 9, [Sno], [T3]
May 4Pak-Hin LeeHodge-Tate representations[T2], [B], [H] 9
May 11Sam MundyArakelov intersection theory[CS] 12