June 23, 2016 @BKC, West Wing 6F, Colloquium room 17:30-18:30
Time: 17:30-18:30
Mouez Dimassi (University of Bordeaux and Ritsumeikan University)
Title: Semiclassical Trace Formula for Systems of h-Pseudodifferential Operators and Application to the Spectral Shift Function
Abstract: In this talk we give a microlocal trace formula for a system of h-pseudodiifferential operators.
We apply this trace formula to the asymptotic of the counting function of the number of eigenvalues and to the asymptotics of the spectral shift function of the semiclassical Schrödinger operator with matrix valued potential.Our proofs are based on a time independent method.
This a joint work with S. Fujiié and M. Assal.