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Detecting the Completeness of a Finsler Manifold via Potential Theory for Its Infinity Laplacian

ICTP Mathematics via YouTube

Overview

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Explore the intricacies of detecting completeness in Finsler manifolds through potential theory for infinity Laplacians in this mathematics seminar. Delve into the prescribing Q-curvature equation on closed 4-manifolds, examining necessary conditions for solution existence and the behavior of solutions as parameters approach zero. Learn about the Paneitz operator, sign-changing functions, and their role in solving complex mathematical equations. Gain insights from speaker Quoc Anh Ngo of Vietnam National University as he presents joint work with Hong Zhang from South China Normal University, offering a deep dive into advanced mathematical concepts and their applications in geometry and analysis.

Syllabus

Detecting the completeness of a Finsler manifold via potential theory for its infinity Laplacian

Taught by

ICTP Mathematics

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