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Analysis & Operator Theory Seminar - Lorena Lopez

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September 15, 2015
1:50 pm - 2:45 pm
Cockins Hall 240

Title: Parabolic curves of diffeomorphisms asymptotic to formal invariant curves

Speaker: Lorena Lopez

Abstract: We are interested in the study of the dynamics of a complex analytic diffeomorphism tangent to the identity in dimension two. We will show that every formal invariant curve of the diffeomorphism supports a parabolic curve (a 1-dimensional domain which is invariant and stable, either for the diffeomorphism or for its inverse). This work is a collaboration with Fernando Sanz Sánchez. We will also discuss some possible ways of generalizing this result to higher dimension.

Seminar URL: https://research.math.osu.edu/aot/

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Seminar - Analysis and Operator Theory