Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Geometrie und Analysis

 

Professor Dr. Vasily Golyshev,
Moskau

 
spricht am
 
Montag, 9. März 2009
 
um
 
15 Uhr s.t.
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Gamma-structures: interpolating integral structures«

Abstract:
I will report on a joint recent work with A.Mellit. We introduce gamma structures on regular hypergeometric D-modules as special one-parametric systems of solutions on the compact subtorus. We note that a balanced gamma product is in the Paley-Wiener class and show that the monodromy with respect to the gamma structure is expressed algebraically in terms of the hypergeometric exponents. We compute the hypergeometric monodromy explicitly in terms of certain diagonal matrices, Vandermonde matrices and their inverses (or generalizations of those in the resonant case), and establish their relation to the hypergeometric pairs of Beukers and Heckman.

 

Hierzu ergeht herzliche Einladung.     



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