Infinite discrete symmetries near singularities and modular forms
Seminar Room 1, Newton Institute
When approaching a spacelike singularity the BKL conjecture states that the classical relativity dynamics are governed by chaotic oscillations.
These can be alternatively described using a so-called cosmological billiard. When quantising this system one is led to automorphic forms of hyperbolic Weyl groups. The construction of some of these automorphic forms can be phrased conveniently using division algebras. If time permits some features of other Eisenstein series will also be discussed.