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Friday, May 10, 2019
4:00 PM - 5:00 PM
Linde Hall 187

Geometry & Topology Seminar

Heat kernel expansion of the Dirac-Laplacian of multifractal Robertson-Walker cosmologies
Farzad Fathizadeh, Department of Mathematics, Swansea University,

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.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.