The Log-Minkowski Problem - IPAM at UCLA

Explore the log-Minkowski problem and recent advancements in convex geometry through this 28-minute lecture by Emanuel Milman at IPAM's Calculus of Variations in Probability and Geometry Workshop. Delve into the classical Minkowski problem, its Lp generalization, and the speaker's novel approach to the log-Minkowski conjecture. Learn about the isomorphic resolution of the problem and the extension of uniqueness results for self-similar solutions to the power-of-Gauss-curvature flow. Gain insights into the interpretation of the problem as a spectral question in centro-affine differential geometry, and understand its implications for convex bodies in Rn.

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