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 GaussBonnet 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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