Index Theory for Dirac Operators in Lorentzian Signature and Geometric Scattering

Seminar series

Quantum Field Theory Seminar

Date

Tue, 21 Nov 2017
12:00

Location

Speaker

Alexander Strohmaier

Organisation

Leeds

I will review some classical results on geometric scattering
theory for linear hyperbolic evolution equations
on globally hyperbolic spacetimes and its relation to particle and charge
creation in QFT. I will then show that some index formulae for the
scattering matrix can be interpreted as a special case of the Lorentzian
analog of the Atyiah-Patodi-Singer index theorem. I will also discuss a
local version of this theorem and its relation to anomalies in QFT.
(Joint work with C. Baer)