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A Powerful Differential Equation for Ising-Decorated Maps in Arbitrary Genus

Centre International de Rencontres Mathématiques via YouTube

Overview

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Explore a 47-minute conference talk where Ariane Carrance presents her research on Ising-decorated maps in arbitrary genus, focusing on their enumerative properties. Learn how to obtain a differential equation for the generating function of Ising-decorated cubic maps, related to the Kadomtsev-Petviashvili (KP) hierarchy. Discover an efficient algorithm for enumerating Ising cubic maps in high genus, with implementations in both Maple and SageMath. The presentation covers joint work with Mireille Bousquet-Mélou and Baptiste Louf. Recorded during the thematic meeting "Enumerative combinatorics and effective aspects of differential equations" at the Centre International de Rencontres Mathématiques in Marseille, France on February 24, 2025.

Syllabus

Ariane Carrance: A powerful differential equation for Ising-decorated maps in arbitrary genus

Taught by

Centre International de Rencontres Mathématiques

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