Previous Conferences & Workshops

Abstract: Let M be a manifold with bounded Ricci curvature and which is noncollapsed, i.e. |Rc|v>0. Together with Wenshuai Jiang we prove that there then exists the apriori L^2 curvature estimate \int |Rm|^2 C and L^1 hessian estimate \int |\nabla...

I will talk about Ginzburg and Gurel's work on Hamiltonian pseudo-rotations of projective spaces, in particular, their proof of no fixed point of a pseudo-rotation of projective space is isolated as an invariant set.

Abstract: In this talk we show that given any regular cone with entropy less than that of round cylinder, all smooth self-expanding solutions of the mean curvature flow that are asymptotic to the cone are in the same isotopy class. This is joint...

A $k \times n$ matrix $(k

Abstract: Consider an area minimizing integral current $T$ which has a smooth boundary $\Gamma$ of multiplicity $1$ in some smooth Riemannian ambient manifold $\Sigma$. If the current has codimension $1$ a famous work of Hardt and Simon gives full...

Abstract: The Clifford torus is the simplest nontotally geodesic minimal surface in S^3. It is a product surface, it is helicoidal, and it is a solution obtained by separation of variables. We will show that there are more minimal submanifolds with...

Natural gradient descent holds the potential to speed up training of neural networks by correcting for the problem geometry and achieving desirable invariance properties. I’ll present Kronecker-Factored Approximate Curvature (K-FAC), a scalable...