Department Mathematik



Mathematisches Kolloquium

On Thursday January 31st, 2019, at 16:30h

Daniel Lenz
(Friedrich-Schiller-Universiät Jena)

will give a talk in lecture hall A027 on

Long Time Behaviour of Heat Kernels

Abstract: We study long time behaviour of heat kernels and show convergence of the semigroup to the ground state and convergence of suitably average logarithms of kernels to the ground state energy. The results hold for arbitrary selfadjoint positivity improving semigroup. This framework includes Laplace operator on manifolds, on graphs and on quantum graphs. (Joint work with Matthias Keller, Hendrik Vogt, Radoslaw Wojciechowski)

Everyone is invited! Join us for coffee and tea in the common room (B448) half an hour before the talk.