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Séminaire des Doctorants et Doctorantes - Institut Camille Jordan - ICJ - Villeurbanne - Sud-Est - Unité de mathématiques pures et appliquées - UMPA/ENSL - Lyon - Sud-Est

Institut Camille Jordan - ICJ - Villeurbanne - Sud-Est Unité de mathématiques pures et appliquées - UMPA/ENSL - Lyon - Sud-Est

The Trace Problem in Loewner's Theory


Start: April 12, 2021, 10:30 a.m.
End: April 12, 2021, 11:30 a.m.

Speaker: Shekhar, Atul ()
Title: The Trace Problem in Loewner's Theory
Abstract: <p>Loewner's theory provides a one-to-one correspondence between Loewner chains (which is a certain family&nbsp;of compact sets in the complex plane) and its driver (which is a real valued continuous function). When the driver is chosen to be Brownian motion, it gives rise to Schramm-Loewner-Evolution (SLE). We will address the question: When is this family of compact sets generated by a curve? Answering this question is of fundamental importance in order to make sense of SLEs as curves. Furthermore, it also leads to other applications in SLE theory, e.g. stability with respect to perturbations in the driver.</p>
Loc. Webinar
Cat. Séminaires

ref: Séminaire des Doctorants et Doctorantes - Institut Camille Jordan - ICJ - Villeurbanne - Sud-Est - Unité de mathématiques pures et appliquées - UMPA/ENSL - Lyon - Sud-Est