Jørgen Lye, Oldenburg
Stable, closed geodesics on K3 surfaces
I will talk about the problem of finding stable, closed geodesics on a Ricci-flat Calabi-Yau manifold with an emphasis on K3 surfaces. I will introduce a Kummer K3 surfaces with metrics of concentrated curvature. Building on estimates of R. Kobayashi, I will present results which constrain stable, closed geodesics. Finally, I will present a symmetric Kummer K3 surface and explicit stable, closed geodesics. This gives a partial answer to a conjecture by P. Gao and M. Douglas.
Monday, April 19, 14.15 via zoom
Panagiotis Polymerakis, MPI Bonn
Liouville type properties of covering spaces
Abstract