Student Arithmetic Seminar

The Langlands Program conjectures a relationship between seemingly unrelated classes of mathematical objects, one algebraic and the other analytic: Galois groups of number fields on the one hand, and modular (or more generally, automorphic) forms on the other. The relationship consists of a dictionary between Galois representations and automorphic representations. Most mysteriously (and usefully!) of all, the dictionary is expected to be compatible with the formation of L-functions. In this talk we'll give a modest snapshot of this exciting area of number theory. Speaker(s): David Schwein (University of Michigan)