University of Cambridge > > DAMTP Friday GR Seminar > Geometry and Topology in Gravitational Lensing

Geometry and Topology in Gravitational Lensing

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If you have a question about this talk, please contact Dr H K Kunduri.

Gravitational lensing is a thriving research field at the interface of astrophysics and theoretical physics. In this talk, I will discuss some applications of geometry and topology to gravitational lensing theory in the limit of small deflection angles, using the optical metric and the impulse approximation. It will be shown how the Gauss-Bonnet theorem offers a global perspective of lensing different from the usual treatment, and how Morse theory can be used to constrain image numbers. A new interpretation of magnification invariants in terms of Lefschetz fixed point theory will also be presented.

This talk is part of the DAMTP Friday GR Seminar series.

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