BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Irreducibility and generic ODEs Nagloo, Joel


The <i>irreducibility</i> of an ODE is a notion that was introduce by P. Painlev&eacute; at the turn of the 20th century and later refined by H. Umemura. Roughly, an ODE is irreducible if all of its solutions are â newâ functions. This notion is also almost equivalent to <i>strong minimality</i>, a central notion in model theory. In this talk we will go over the definitions of these concepts and discuss new methods to prove that ODEs with generic constant parameters are irreducible. We use the Painlev&eacute; equations as examples.

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