Vlad Yaskin- A Solution to the 5th and 8th Busemann-Petty Problems Near the Euclidean Ball

Vlad Yaskin- A Solution to the 5th and 8th Busemann-Petty Problems Near the Euclidean Ball

Explore a mathematical lecture addressing solutions to the 5th and 8th Busemann-Petty problems for bodies close to the Euclidean ball in Banach-Mazur distance. Delve into key concepts including curvature functions, Radon transforms, and spherical harmonic expansions. Follow the speaker's journey through problem definitions, geometric interpretations, and known results, culminating in a detailed proof and summary of the solution. Gain insights into this collaborative work with M. Angeles Alfonseca, Fedor Nazarov, and Dmitry Ryabogin, presented at the Hausdorff Center for Mathematics.