THE SEMINAR

THEORY OF DUALITY

DEPARTMENT OF MATHEMATICAL METHODS IN PHYSICS



On the 30th of October 2014, at 10:15 a.m.

Michał Wrochna (CNRS, Institut Fourier, Grenoble)

will give a talk on

"Construction of pure states from characteristic Cauchy data"

Abstract
For the Klein–Gordon equation one formulates a characteristic Cauchy problem by specifying as initial datum the restriction to a lightcone. I will demonstrate how such characteristic Cauchy problem (also called Goursat problem) can be solved in the inside of a cone in a globally hyperbolic spacetime for data in adapted Sobolev spaces. I will then review applications in Quantum Field Theory, where one is interested in constructing solutions with a specific wave front set. (This is joint work with Christian Gérard)

The seminar takes place on Thursdays from 10:15 a.m. to 12:00 in the room 2.23 of the main building of the Faculty of Physics (the 2nd floor), Pasteur Str. 5, Warszawa.
Additional information can be found on the webpage http://oldwww.fuw.edu.pl/KMMF/sem.czw.przedp.html.