Thursday, September 27, 2018 — 3:30 PM EDT

mi Jaoui, Department of Pure Mathematics, University of Waterloo

"Disintegration phenomena for planar algebraic vector fields"

In my talk, I will discuss some disintegration phenomena in the specific case of complex polynomial vector fields on the affine plane \mathbb{A}^2_\mathbb{C}.

First, I will explain a recent result that I proved concerning the "very generic case of degree d'' where all the coefficients of the polynomial vector field are \mathbb{Q}-algebraically independent. In the second part of my talk, I will discuss some possible strengthening of this result and speculate on the possible kinds of disintegrated phenomena that it is possible to encounter for planar algebraic vector fields.

MC 5403

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