Number theory learning seminar 2010-2011

The topic for 2010-2011 is Faltings' proof of the Mordell conjecture. Familiarity with various basic topics in arithmetic geometry (schemes, class field theory, abelian varieties, etc.) is assumed whenever needed to get through a lecture in finite time.

Here are some references relevant to this year's seminar:
[N] Neron Models (Bosch, Lutkbohmert, Raynaud)
[C] Siegel moduli schemes and their compactifications (Chai) in "Arithmetic Geometry"
[D] Conjectures de Tate et Shafarevich (Deligne)
[L] Algebraic Geometry and Arithmetic Curves (Q. Liu)
[Mi] Abelian varieties (Milne) in "Arithmetic Geometry"
[Mu] Geometric Invariant Theory (Mumford)
[R] Schemas en groupes de type (p,...,p) (Raynaud)
[Sch] Introduction to finite group schemes (Schoof)
[Sh] Group schemes, formal groups, and p-divisible groups (Shatz) in "Arithmetic Geometry"
[S1] Advanced topics in the arithmetic of elliptic curves (Silverman)
[S2] Heights and elliptic curves (Silverman) in "Arithmetic Geometry"
[T1] p-divisible groups (Tate)
[T2] Finite flat group schemes (Tate) in "Modular Forms and Fermat's Last Theorem"

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Notes -- use at your own risk.

These are informal notes. They may change without warning.

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