Past Events

Vortex solitons are standing wave solutions with complex phase that is an (integer) multiple of the angular polar coordinate. This multiple we call the 'spin', and indexes a family of solutions with increasing L2 norm. In the case of no spin, Merle...

I consider the inference of subsurface medium parameters from measurements of (acoustic) seismic waves. The source of such waves may be either man-made --as is the case in oil&gas exploration -- or natural -- as in global seismology. Naturally, this...

In this talk we will describe the underlying construction of the main theorem of Galatius' paper. This main theorem is a generalization of the Pontryagin-Thom construction and establishes a weak homotopy equivalence between the classifying space of a...

Let G be a simple Lie group or Kac-Moody group and P a parabolic subgroup. One of the goals Schubert calculus is to understand the product structure of the cohomology ring H^*(G/P) with respect to its basis of Schubert classes. If G/P is the...

I will try to explain the general background to the subject, and discuss the formulation of the main conjectures of non-commutative Iwasawa theory, on which there has been important recent progress.

I will begin by discussing some recent theoretical and numerical joint work with Liang and Sujatha on the Tate-Shafarevich group of elliptic curves over Q with complex multiplication and rank at least 2. In the latter part of the lecture, I will...

The Yoshida lift is a theta lift that takes a pair of automorphic forms on a definite quaternion algebra to a holomorphic Siegel modular form. We show that a natural refinement of the classical Yoshida lift in fact preserves p-integrality in a...

In these talks we describe our proofs of the Hanna Neumann Conjecture. This conjecture of the late 1950's can be described both as a problem in group theory or as one in graph theory. Our first proof is longer and interprets the problem using...