Math 720, Fall 2013

Advanced Number Theory

Advanced Number Theory: This course will focus on local fields and Galois cohomology. It is recommended for graduate students in algebra, including those interested in number theory and in algebraic geometry from an algebraic point of view. The only prerequisite is Math 602; students may or may not have taken Math 620. The course is a prerequisite for Math 721, which will be taught in the spring.

Topics will include local and global fields, Galois theory of local fields, ramification groups, profinite groups, infinite Galois theory, group cohomology, and Galois cohomology.

Class schedule: Mon and Wed, 1:30-3pm in DRL 4C6.

Homework assignments for Math 720

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