Pure Maths Colloquium: Index theory for hyperbolic operators in geometric contexts
13 February 2017 16:00 in CM221
I will review some aspects of classical index theory for classical elliptic differential operators arising in the geometry of manifolds with boundary. I will then discuss hyperbolic operators that are arising in physics and show that one can still prove a geometric index theorem in this context. If there is time I will give an application in quantum field theory on curved spacetimes.
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