  The curious connection between the spacings of the eigenvalues of random
matrices and the corresponding spacings of the non trivial zeros of the Riemann
zeta function is analyzed on the basis of the geometric dynamical global
program of Langlands whose fundamental structures are shifted quantized
conjugacy class representatives of bilinear algebraic semigroups.The considered
symmetry behind this phenomenology is the differential bilinear Galois
semigroup shifting the product,right by left,of automorphism semigroups of
cofunctions and functions on compact transcendental quanta.

General Mathematics