Mathématique-Physique

Farzad Fathizadeh: Heat kernel expansion of the Dirac-Laplacian of multifractal Robertson-Walker cosmologies

Europe/Paris
Salle 318 (IMB: batiment Mirande)

Salle 318

IMB: batiment Mirande

Description

I will talk about a recent work in which we find an explicit formula for each Seeley-deWitt coefficient in the full heat kernel expansion of the Dirac-Laplacian of the Robertson-Walker metric with a general cosmic expansion factor. We use the Feynman-Kac formula and combinatorics of Brownian bridge integrals heavily. The extension of the result to the inhomogeneous case, where the spatial part of the model has a fractal structure, will also be presented. This is joint work with Yeorgia Kafkoulis and Matilde Marcolli.

Your browser is out of date!

Update your browser to view this website correctly. Update my browser now

×