The Odderon and Invariants of Elliptic Curves

Abstract

In this talk we present some links of the theory of the odderon with elliptic curves. These results were obtained in an earlier work \cite{RJ}. The natural degrees of freedom of the odderon turn out to coincide with conformal invariants of elliptic curves with a fixed `sign'. This leads to a formulation of the odderon which is modular invariant with respect to $\Gamma^2$ --- the unique normal subgroup of \slz {\,} of index 2.