Professor MARCO MARTENS (State University of New York at Stony Brook, USA)

will speak on

A field theory for smooth dynamics

Time: 3:00PM
Date: Tue 24th March 2020
Location: Seminar Room SCN 1.25 [map]

Abstract: Renormalization in one and two dimensional smooth dynamics has
been very successful in describing the small scale geometrical
properties of zero entropy attractors. The observed geometrical
universality is sometimes described by a renormalization fixed point but
often the dynamics of the renormalization operator is by itself very intricate.

Tresser and Coullet were inspired by renormalization in statistical
mechanics when they introduced Renormalization in dynamics. However,
there is no formal relation between these theories. Surprisingly, there
is a field theory for smooth dynamics which explains the universal
geometrical structure of zero entropy attractors. It brings
renormalization dynamics and renormalization in physics a bit closer to
each other.

(This talk is part of the UCD School of Mathematics and Statistics Colloquium series.)

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