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On the Geometry of Uniform Meandric Systems

Offered By: Institute for Pure & Applied Mathematics (IPAM) via YouTube

Tags

Geometry Courses Combinatorics Courses Graph Theory Courses Mathematical Modeling Courses Probability Theory Courses Topology Courses Algebraic Structures Courses

Course Description

Overview

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Explore the fascinating world of meandric systems in this 55-minute lecture presented by Jacopo Borga from Stanford University at IPAM's Vertex Models workshop. Delve into Henri Poincaré's century-old question about the number of ways a simple loop can cross a line in a plane. Discover the latest research on the geometry of uniform meandric systems, including a conjecture describing their large-scale structure and rigorous results supporting this hypothesis. Gain insights into this complex mathematical problem and its implications for algebraic and probabilistic aspects of universality.

Syllabus

Jacopo Borga - On the geometry of uniform meandric systems - IPAM at UCLA


Taught by

Institute for Pure & Applied Mathematics (IPAM)

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