The variation of the trace of the heat-kernel on a manifold with boundary

09.07.2021, 11:00  –  Online Seminar
Arbeitsgruppenseminar Analysis

Ihsane Malass (Uni Potsdam)

We present the well-known proof by Ray and Singer of the variation of the trace of the heat-kernel with respect to a family of metrics on a manifold with boundary under appropriate boundary conditions. This proof plays a key role in the study of the variation of the analytic torsion on a manifold with or without boundary, by allowing to study the variation of the analytic torsion by means of the heat-kernel asymptotics.

Forthcoming speakers are Diego López on July 16th and Larisa Jonke on July 23rd.
You are welcome to suggest speakers or topics for the forthcoming sessions.

You are welcome to invite your friends and colleagues to join us! If you wish to attend the talks,  please contact Sylvie Paycha paycha@math.uni-potsdam.de for the login details.