Math 7200, Advanced Number Theory, Fall 2023
Instructor:
Ching-Li Chai
Office: DRL 4N36, Ext. 8-8469.
Office Hours: MW 1:00
General Information
- First meeting: Wednesday 8/30, 1:45 pm, DRL 2C2.
- Lectures: MW 1:45--3:14 pm, DRL 2C2.
- Topics:
In fall 2023, the goal is to explain Faltings' (first) proof
of Mordell's conjecture and the related finiteness theorems
of abelian varieties.
- Background knowledge: graduate-level algebraic geometry
and algebraic number theory.
- References:
- G. Faltings, "Endlichkeitssatze fur abelsche Varietaten uber
Zahlkorpern", Inv. Math. 1983,
English translation in "Arithmetic Geometry", ed. G. Cornell
and J. Silverman, 1986
- G. Faltings and G. Wustholz et al., Rational Points, 1984.
- Seminaire sur les Pinceaux Arithmetiques:La Conjecture de
Mordell, Ast. 127, 1985.
- Mumford, Abelian Varieties
Academic calendar fall 2021
- First day of classes, 8/29
- First meeting, Wednesday 8/30
- Drop period ends, 10/09
- Grade type change deadline, 10/29
- Fall break, 10/12--10/15
- Last day to withdraw, 11/08
- Thanksgiving break, 11/23--11/26
- Last day of classes, 12/11
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