Previous Conferences & Workshops

Solutions to some differential equations are related to geometric structures on the underlying manifold. For instance certain hypergeometric equations are related to the uniformization of Riemann surfaces. I will start by recalling some classical...

We consider the elliptic restricted three-body problem as a perturbation of the circular problem, with the perturbation parameter being the eccentricity of the orbits of the primaries. We show that for every suitably small, non-zero perturbation...

Last Fall the Emerging Topics on Scalar Curvature and Convergence groupdiscussed and devised a number of conjectures concerning the intrinsic flat limits of sequences of manifolds with lower bounds on their scalar curvature. Many of thesewere almost...

We study closed ancient solutions to gradient flows of elliptic functionals in Riemannian manifolds, including the mean curvature flow. As an application, we show that an ancient (arbitrarycodimension) mean curvature flow in $S^n$ with low area must...

Geodesic nets on Riemannian manifolds is a natural generalization of geodesics. Yet almost nothing is known about their classification or general properties even when the ambient Riemannian manifold is the Euclidean plane or the round 2-sphere.

In...

I will give a gentle overview of my work with Petter Brändén on Lorentzian polynomials (

https://arxiv.org/abs/1902.03719

), which link continuous convex analysis and discrete convex analysis via tropical geometry. The class contains homogeneous...

This talk will focus on geometric realizations of vertex algebras. The Virasoro uniformization provides an incarnation of the Virasoro algebra in the tangent space of the Hodge line bundle on moduli of curves with marked points and local coordinates...

I will describe a new family of symplectic capacities defined using rational symplectic field theory. These capacities are defined in every dimension and give state of the art obstructions for various "stabilized" symplectic embedding problems such...