Heat kernels and integral Ricci curvature bounds

  • Christian Rose (TU Chemnitz, Germany)
A3 02 (Seminar room)


Gaussian heat kernel bounds play a fundamental role in geometric analysis. We present recent results on explicit Gaussian upper bounds for non-compact manifolds depending on locally uniform Ricci curvature integral assumptions. Furthermore, we discuss generalizations of integral curvature bounds in terms of the so-called Kato class. If time allows, topological applications of those heat kernel upper bounds will be given.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar