University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Quantum cosmological billiards and Maass wave forms

Quantum cosmological billiards and Maass wave forms

Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

OOEW12 - Physics and automorphic L-functions: gravity, conformal field theory and number theory

Classical general relativity close to a space-like singularity exhibits simplified dynamics as originally observed by Belinksi, Khalatnikov and Lifschitz in the 1970s. The modern reformulation of this behaviour is in terms of a (chaotic) dynamical system called a cosmological billiard that intriguingly exhibits arithmetic properties. I will review this phenomenon and show how upon quantisation automorphic forms appear and discuss consequences for the fate of the singularity. Time permitting I will also explore going beyond the billiard approximation and connections to Kac-Moody symmetric spaces and associated automorphic forms. This talk is based on work with Hermann Nicolai. 

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

Β© 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity