Raymond Cheng, University of Waterloo
"Local theory of algebraic number fields"
Having reviewed the global aspects of algebraic number theory, I will begin to develop the local aspects of the theory. The goal here will be to define and hopefully get to grips with objects known as local fields. To that end, I will speak about absolute values on fields, completions of fields and properties of local fields. Depending on the audience, I may also talk more about the algebraic constructions required for our efforts.