School of Mathematics

Orbifolds and Systolic Inequalities

Christian Lange

In this talk, I will first discuss some instances in which orbifolds occur in geometry and dynamics, in particular, in the context of billiards and systolic inequalities. Then I will present topological conditions for an orbifold to be a manifold...

The Hofer’s metric dH is a remarkable bi-invariant metric on the group of Hamiltonian diffeomorphisms of a symplectic manifold. In my talk, I will explain a result, obtained jointly with Matthias Meiwes, which says that the braid type of a set of...

The loop equation for circulation PDF as functional of the loop shape is derived from the Hopf equation. This equation is exactly equivalent to the Schrödinger equation in loop space, with viscosity playing the role of Planck's constant. This...