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Seminar on analytic theory of differential equations
May 18, 2016 14:00, Moscow, Steklov Mathematical Institute, Room 440 (8 Gubkina)
 


Holonomic systems of PDEs of hypergeometric type

T. M. Sadykov

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Abstract: Multidimensional hypergeometric theory is an area of mathematics that combines methods of analysis, algebra and geometry. This is both a constructive and transcendent mathematics: a hypergeometric function is a transcendent function which is encoded by a tuple of rational functions or by an ideal in the Weyl algebra. In the talk I will present new results on divisors of solutions of holonomic hypergeometric systems of PDEs, and results on their monodormy representations.

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