Center conditions: pull-back of differential equations

Speaker(s)

Yadollah Zare

Affiliation

Instituto Nacional de Matemática Pura e Aplicada

Date

June 14, 2019, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

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The space of polynomial dierential equations of a fixed degree with a center singularity has many irreducible components. We prove that pull-back dierential equations form an irreducible component of such a space. The method used in this article is inspired by Ilyashenko and Movasati's method. The main concepts are the Picard-Lefschetz theory of a polynomial in two variables with complex coffcients, the Dynkin diagram of the polynomial and the iterated integral.

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