PD GDL 2021

Introduction. Outlines of the proof of Faltings and Lawrence-Venkatesh.
Speaker: Adrian I.
Schedule: 16/04, at 14:00, Room 2BC60

The Shafarevich conjecture and the Kodaira-Parshin family of curves. Reduction of the Mordell conjecture to the Shafarevich conjecture.
References: [\S2; Dar], [\SS 2-3; Szp]
Speaker: Daniele T.
Schedule: 23/04, at 16:00, Room 1AD100

Proof of Faltings' theorem of the finiteness of the l-adic Galois representations with fixed Serre weights and bounded ramification.
References: [\SS 2.5&2.7; Dar], [Del]
Speakers: Eduardo W. and Shilung W.
Schedule: 30/04, at 16:00, Room 1AD100

The Tate conjecture for Abelian varieties over finite fileds (J. Tate) and number fields (G. Faltings).
Speaker: Yukihide N.
Schedule: 07/05, at 14:00, Room 2BC60

Algebraic de Rham cohomology
Speaker: Ernesto M.
Schedule: 14/05, at 14:00

Gauss-Manin connection for schemes over the complex numbers, versus over p-adics. Period mappings and Galois representations.
Speaker: Luca M. and Ernesto M.
Schedule: 21/05, at 14:00

Introduction to p-adic Hodge theory. The S-unit equation ([LV] \S 4.1, \S 4.2).
Speaker: Adrian I. and Nicola M.
Schedule: 04/06, at 14:00

Monodromy of Kodaira-Parshin families. ([LV], \S 8.)
Speaker: Remke K. 11/06 at 14:00