Some results on non-integrability of the Painleve equations

Prelegent(ci)

Marcin Bobieński

Afiliacja

Uniwersytet Warszawski

Termin

5 grudnia 2014 10:15

Pokój

p. 5840

Seminarium

Seminarium Zakładu Układów Dynamicznych

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I will discuss the problem of integrability of the Painleve equations i.e. existence of meromorphic 1-st integrals. The method is based on the Morales-Ruiz theorem that claims that integrability implies that connected component of the Galois group is Abelian. This result provides obstructions to the integrability.

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