Past Events

The Navier–Stokes-alpha-beta equation regularizes the Navier–Stokes equation by the addition of dispersive and dissipative terms. The dispersive term is proportional to the divergence of the corotational rate of the symmetric part of the velocity...

To each finite group G one associates an algebraic invariant rk(G), called the rank of G, and a topological invariant hrk(G), called the homotopy rank of G. The number hrk(G) is defined in terms of free G-actions on products of spheres. In this talk...

Let $A$ be an $n\times n$ matrix with $n$ distinct eigenvalues. Its open $\epsilon$-pseudospectrum is the set of points in the complex plane which are eigenvalues of a matrix $B$ with $||A-B|| \epsilon$. For sufficiently small $\epsilon$ the...

I state and prove an inverse function theorem between Fr\'{e}chet spaces, which does not require that the function to be inverted is C^{2}, or even C^{1}, or even Fr\'{e}chet-differentiable.

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...