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YouTube

Compactification of Moduli Spaces of Connections and Okamoto-Painlevé Pairs

Instituto de Matemática Pura e Aplicada via YouTube

Overview

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Explore the compactification of moduli spaces of connections and Okamoto–Painlevé pairs in this 47-minute conference talk delivered by Arata Komyo from the University of Hyogo. Delve into advanced mathematical concepts at the intersection of foliations, complex geometry, and Painlevé equations as part of a celebration honoring Frank Loray's 60th birthday. Examine sophisticated theoretical frameworks connecting differential geometry, algebraic geometry, and the theory of differential equations through the lens of moduli space theory. Learn about the intricate relationships between geometric structures and special functions, particularly focusing on how Painlevé equations arise naturally in the context of foliation theory and complex manifolds. Gain insights into cutting-edge research in mathematical physics and pure mathematics, presented by an expert in the field at this prestigious event organized by the Instituto de Matemática Pura e Aplicada with participation from leading international mathematicians specializing in foliations, complex geometry, and related areas.

Syllabus

Foliations, Complex Geometry, and Painlevé Equations - PT - Arata Komyo (University of Hyogo)

Taught by

Instituto de Matemática Pura e Aplicada

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