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This seminar is concerned to support the communication among thedoctoral students and to develop a scientific interaction with the scientists from the program. Faltings' Theorem
Summer Semester 2015 The current outline of the seminar.
Plan of talks 15.04.2015:
Overview
Ben Bakker 22.04.2015:
Abelian varieties over arbitrary fields.
Isogenies. Tate module. Daniele Agostini 29.04.2015:
Tate module
More on the Tate module. Weil pairing. Zarhin's trick. Gregor Bruns 06.05.2015:
Tate and Shafarevich conjectures from finiteness.
Niels Lindner 13.05.2015:
Group schemes. Nerón models. Semistable reduction
Eva Martinez Romero 20.05.2015:
Heights. Isogeny formula
Daniele Agostini 27.05.2015:
Ramification of p-divisible groups.
Antareep Mandal 03.06.2015:
Proof of the Tate conjecture.
Wouter Zomervrucht 10.06.2015:
Ramification of finite group schemes. Raynaud's theorem.
Fabio Tonini 17.06.2015:
Finiteness of isogeny classes.
Emre Sertöz 24.06.2015:
Siegel moduli space: overview.
Barbara Jung 01.07.2015:
Faltings height. Hermitian line bundles and heights.
Rostislav Devyatov 08.07.2015:
Height comparison.
15.07.2015:
Mordell conjecture. Parshin's argument. Utah?
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