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Advances in Algebra and Geometry |
| April 28, 2007 to May 04, 2007 |
| Organized By: David Ellwood, Joe Harris, Craig Huneke, Hugo Rossi, Frank-Olaf Schreyer, Bernd Sturmfels, Julius Zelmanowitz |
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| Return to Workshop Description |
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Differential Dependence and Differential Groups
Sunday April 29, 2007
09:30AM - 10:30AM
Speakers:
Michael Singer
Abstract:
I will talk about a Galois theory of linear difference equations where the Galois group are linear differential groups that is, groups of matrices whose entries satisfy a fixed set of polynomial differential equations. These groups measure the differential dependence among solutions of linear difference equations. I will show how this theory can be used to reprove Hoelder's Theorem that the Gamma function satisfies no differential polynomial equation as well as new results concerning differential dependence of solutions of higher order difference equations.
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