Past Events

As a model problem for the study of supercritical partial differential equations, on a smoothly bounded domain Ω⊂Rn, ≥3n, for an exponent >=−*222npn, the critical exponent for Sobolev's…

Given a Riemann surface (M,g_0), viewed as a two-dimensional Riemannian manifold with background metric g_0, a classical problem in differential geometry is to determine what smooth functions f on…

Conference in honor of Daniel Bump's 60th Birthday.

 Orbital integrals and the elliptic cover If G is a reductive real Lie group, orbital integrals are key ingredient in Selberg’s trace formula.

Chern Gauss-Bonnet, index theory, and Fourier transform In the first lecture, the hypoelliptic Laplacian was described in terms of an interpolation between operators.

If X is a Riemannian manifold, the Laplacian is a second order elliptic operator on X.

I will discuss some applications of approximate groups including, hopefully, (i) the construction of expander graphs and the affine sieve and (ii) Dirac's problem on the minimal number of ordinary…

 I will introduce the Gowers norms, which are a way of measuring how close a function f : [N] → C is to a polynomial phase function.

What does it mean for A to be an approximate group? What can one say about approximate groups? What applications does this have?

Gromov's work on the nonsqueezing problem showed that embedding questions lie at the heart of symplectic geometry. This talk will discuss a variety of these questions, mostly in four dimensions.…