## Yadollah Zare, Galatasaray University

Math colloquium

#### Speakers: Yadollah Zare, Galatasaray University

#### Title: Center conditions: pull-back of differential equations.

#### Abstract:

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

Room: V-158, VR-II

Time: Friday 12th June, 10:00am

**Notice that is recommended to keep two meters apart from other attendants.**