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 be offered this semester (Fall 2017). It is instructed by A. Sutherland.

Lecture occurs 2:30 PM to 4:00 PM on Tuesdays and Thursdays in 2-143.

This class counts for a total of 12 credits.

You can find more information at the 18.785 Home site or on the 18.785 Stellar site.

MIT 18.785 Number Theory I Related Textbooks
MIT 18.785 Number Theory I On The Web
syllabus semester

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