AbstractIn the talk, l shall present our joint paper with A.Gerasimov and D.Lebedev. in this paper, wedevelop a representation theory approach to the study of generalized hypergeometric functions ofGelfand, Kapranov and Zelevisnky (GKZ). We show that the GKZ hypergeometric functions may beidentified with matrix elements of non-reductive Lie algebras L(N) of oscillator type. The Whittakerfunctio...
Abstract:We discuss two approaches to solving inhomogeneous equations of the form L(.)=t^{1/d}, where L is a hypergeometric differential operator attached to a family of CY varieties. The first is by elementary complex analysis, using so-called Frobenius deformations, and gives an explicit series solution. The second is via normal functions attached to algebraic cycles (both "classical" and "h...