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Local Index Theory in Lorentzian Geometry

Recent developments in microlocal analysis October 14, 2019 - October 18, 2019

October 15, 2019 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Alexander Strohmaier
Location: MSRI: Simons Auditorium
Tags/Keywords
  • index theory

  • Feynman propagator

  • Dirac operator

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
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Abstract

I will state the index theorem for twisted Dirac operators on globally hyperbolic spacetimes with compact Cauchy surfaces. These operators are hyperbolic but still Fredholm on appropriate function spaces. I will give a local proof of the index theorem based on a local construction of the Feynman parametrix. (joint work with C. Baer)

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