### Coleman integration using the Tannakian formalism, by Amnon Besser

We use a new idea to construct a theory of iterated Coleman
functions in higher dimensions than 1. A Coleman function in
this theory consists of a unipotent differential
equation, a section on the underlying bundle and a solution to
the equation on a residue disc. The new idea is to
use the theory of Tannakian categories and the action of
Frobenius to anlytically continue solutions of the
differential equation to all residue discs.

Amnon Besser <bessera@math.bgu.ac.il>