Past Events

One of the central theorems of classical Lie theory is that all split Cartan subalgebras of a finite dimensional simple Lie algebra over an algebraically closed field are conjugate.This result, due to Chevalley, yields the most elegant proof that the...

In microscopic systems formed by living cells, the small numbers of some reactant molecules can result in dynamical behavior that is discrete and stochastic rather than continuous and deterministic. Spatio-temporal gradients and patterns play an...

Since the work of Davis and Januszkiewicz topological methods have been applicable to studying toric spaces (much loved by algebraic geometers). These ideas combine the geometry of manifolds with torus actions and combinatorics. I will talk about...

This colloquium will examine the broad themes of nonlinear dispersive PDE, with the nonlinear Schrodinger and wave equations as examples. We'll discuss the underlying linear theory (Strichartz estimates + conservation laws), weakly nonlinear...

We consider the situation in which a weak solution of the Navier-Stokes equations fails to be continuous in the strong L^2 topology at some singular time t=T. We identify a closed set S_T in space on which the L^2 norm concentrates at this time T...

After experiencing the pain of the tech bubble crash Sunny Wong decided to break all the rules and throw in the towel to lose the rest of his money. Instead of losing any money he makes money. He combines all 3 markets into one. He is somewhat of a...

(Joint work with C. Procesi and M.Vergne) Let G be a compact Lie group with Lie algebra g. Given a G-manifold M with a G equivariant one form w we consider the zeroes M^{0} of the corresponding moment map and define a map, called innitesimal index...

This is a working seminar on the homotopy theory of moduli spaces

Most tissues are hierarchically organized into lineages, which are sets of progenitor-progeny relationships where the cells differ progressively in their character due to differentiation. It is increasingly recognized that lineage progression occurs...

There is an extensive applied mathematics literature developed for problems in the biological and physical sciences. Our understanding of social science problems from a mathematical standpoint is less developed, but also presents some very...