Title: Arithmetical symmetries of quantum torus maps.

Speaker: John Keating, Bristol

Abstract:

The statistics of the quantum eigenvalues of certain 
families of nonlinear maps on the two-torus do not belong 
to the universality classes one would expect from the 
symmetries of the (classical) dynamics the maps generate.  
These anomalies are are caused by arithmetical quantum 
antiunitary (i.e. time-reversal-like) symmetries which do 
not have a classical limit.  This represents a breakdown of 
the usual notion of quantum-classical correspondence for 
symmetry.