Some results on non-integrability of the Painleve equations

Speaker(s)

Marcin Bobieński

Affiliation

Uniwersytet Warszawski

Date

Dec. 5, 2014, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

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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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