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SUMMARY:Quantum cosmological billiards and Maass wave forms - Axel Kleinsc
 hmidt (Max-Planck-Institut für Gravitationphysik)
DTSTART:20260408T143000Z
DTEND:20260408T153000Z
UID:TALK245140@talks.cam.ac.uk
DESCRIPTION:Classical general relativity close to a space-like singularity
  exhibits simplified dynamics as originally observed by Belinksi\, Khalatn
 ikov and Lifschitz in the 1970s. The modern reformulation of this behaviou
 r is in terms of a (chaotic) dynamical system called a cosmological billia
 rd that intriguingly exhibits arithmetic properties. I will review this ph
 enomenon and show how upon quantisation automorphic forms appear and discu
 ss consequences for the fate of the singularity. Time permitting I will al
 so explore going beyond the billiard approximation and connections to Kac-
 Moody symmetric spaces and associated automorphic forms. This talk is base
 d on work with Hermann Nicolai.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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