18.785 Number Theory I

Class Info

Dedekind domains, unique factorization of ideals, splitting of primes. Lattice methods, finiteness of the class group, Dirichlet's unit theorem. Local fields, ramification, discriminants. Zeta and L-functions, analytic class number formula. Adeles and ideles. Statements of class field theory and the Chebotarev density theorem.

This class has 18.705 as a corequisite.

18.785 will not be offered this semester. It will be available in the Fall semester, and will be instructed by A. Sutherland.

Lecture occurs 12:30 PM to 2:00 PM on Mondays and Wednesdays in 2-135.

This class counts for a total of 12 credits.

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