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Conference "Global Fields"October 25 - 28, 2011Moscow, Russia |
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: http://www.mccme.ru/lifr/2011global/talks/gorchinskiy.html
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Conference "Global Fields"October 25 - 28, 2011Moscow, Russia |
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Organisers: Philippe Lebacque (Laboratoire de Mathématiques de Besançon ), Michael Tsfasman (CNRS, Laboratoire Poncelet, Institute for Information Transmission Problems), Alexey Zykin (Laboratoire Poncelet, State University Higher School of Economics, IITP)
Tuesday 25 October, 15:00 - 16:30
The classical differential Galois theory studies symmetry groups of solutions of linear differential equations. We will discuss a parameterized differential Galois theory, which studies symmetry groups of the solutions of linear differential equations having coefficients that depend on parameters. The Galois groups that arise are differential algebraic groups, which are defined by differential (possibly, non-linear) equations in the parameters.