A thorough mastery of the material in the course Algebraic Number Theory (offered through Mastermath) is required.
This course is a sequel to the Algebraic Number Theory course, and treats the basic theory of local fields. This will include both algebraic material (valuations, extensions, ramification theory, Kronecker-Weber, etc) and analytic material (p-adic analytic functions, Mahler’s theorem, p-adic L-functions, etc).
At the end of this course, the student will be familiar with the local theory of number fields, and master algebraic as well as analytic techniques that provide, besides some immediate applications, an introduction to some contemporary research themes in number theory.
Mode of instruction
weekly lectures, homework, and exercise classes
Assessment is based on homework (20%) and an oral exam (80%).
Course notes and relevant resources will be distributed to students.
Peter Stevenhagen (psh[at]math.leidenuniv.nl)
Jan Vonk (j.b.vonk[at]math.leidenuniv.nl)