

Seminar on analytic theory of differential equations
March 18, 2015 14:00–15:30, Moscow, Steklov Mathematical Institute, Room 440 (8 Gubkina)






The Stokes phenomenon for an irregular system of GelfandKapranovZelevinsky associated with a lattice of rank one
D. V. Artamonov^{} 
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Abstract:
Recently in papers of Deligne, Malgrange, Sabbah, Mochezuki there was constructed the RiemannHilbert correspondence for multidimensional irregular systems. But still threr are no examples of explicit description of generalized monodromy data in multidimensional case. The aim of the talk is to give such a description for irregular GelfanKapranovZelevinsky sysytems associated with a lattice of rank one. The talk consists of two parts.
1. In the fist par of the talk the definiton of generalized monodormy data in multidimensional case is given
2. In the second part the Stokes phenomenon for an ordinary differential equaiton for generalized hypergeometric functions is described. Using these results the Stokes phenomenon for a GKZ system is described.
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