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The Log-Minkowski Problem - IPAM at UCLA

Institute for Pure & Applied Mathematics (IPAM) via YouTube

Overview

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This course aims to explore recent progress in resolving the log-Minkowski problem and extending results on self-similar solutions in differential geometry. The course covers topics such as Minkowski summation, the Lp Minkowski problem, isotropic and anisotropic cases, uniqueness of solutions, and isomorphic resolution. The teaching method involves presenting theoretical concepts and recent research findings in the field. The course is intended for individuals interested in advanced topics in differential geometry and geometric analysis.

Syllabus

Standard notation
What is minkowski summation
LP minkowski problem
Isotropic case
Selfsimilar solutions
Uniqueness
Even logMinkowski
New results
isomorphic resolution

Taught by

Institute for Pure & Applied Mathematics (IPAM)

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