The lecture is an introduction to Aomoto-Gelfand hypergeometric functions from the arrangement theoretic viewpoint. The classical example of Gauss was presented which arises from the family of 3-point arrangements. The Gauss-Manin connection gives a generalization of the K.Z. equation. An explicit construction of the twisted cohomology basis is done using the Bn.b.c. basis for generic weights.

Keywords:

Gauss hypergeometric differential equations; hypergeometric functions; arrangements of hyperplanes; K.Z. equation.

Lecture #10650

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