Title: Index Theorems in Lorentzian Signature
Speaker: Anthony McCormick
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Abstract:
Analogues of the Atiyah-Singer index theorems will be presented for the Dirac equation on a very general class of globally hyperbolic spacetimes. A particularly strange detail in the proof will be discussed whereby the Hadamard coefficients for the wave equation and the coefficients from the heat kernel expansion are related.Date: Friday, February 24, 2023