  Sketch of proof of a theorem relating the two subjects of the title. It can
be thought as an extension of results of Landau for the classical
hypergeometric function. It relies on the characterization of algebraic
hypergeometric functions of Beukers and Heckman. In the process we also show
that a variant of a classical construction of Bezout (producing a quadratic
form, the Bezoutian, out of two polynomials in one variable) gives the
Hermitian form fixed by the monodromy group, up to scaling.
