Number Theory and Topology

Seminar/Forum

The theory of automorphic forms sits at the interface between analysis, geometry, topology, and number theory, and leads to deep connections and interrelations between these areas. In this talk I will explain some of these connections (without presuming prior knowledge of, or dwelling very much on, the automorphic theory that lurks in the background).

More particularly, I will explain some applications of ideas coming from number theory and automorphic forms to the study of the growth of mod p Betti numbers in certain towers of 3-manifolds. This is joint work with Frank Calegari.

Presenter

  • Professor Matthew Emerton
    Professor Matthew Emerton, University of Chicago