Past Events

A consequence of Mostow-Prasad rigidity is that the trace-field of an orientable finite volume hyperbolic 3-manifold M is a number field. In addition, there is a quaternion algebra over this number field that is also a natural invariant associated to M. This talk will review this background, and…

Computation of Wilson loop expectations in lattice gauge theories is an important goal in quantum field theory, which remains mostly out of the reach of rigorous mathematics. In this talk I will present a calculation of the leading order term of Wilson loop expectations in the weak coupling…

Large sieve inequalities provide number theorists with a notion of “quasi-orthogonality” for families of arithmetic objects (Dirichlet characters, elliptic curves, Artin representations, automorphic representations, etc.). Such inequalities are crucial in many averaging problems and…

I will discuss some ways to think about a limit of a polynomial ring in n variables as n goes to infinity, and how this can be to study complexity problems in algebra and geometry. This is joint work with Steven Sam and Andrew Snowden.