Analysis Seminar

Thursday, March 23, 2023 4:00 pm - 4:00 pm EDT (GMT -04:00)

Bartlomiej Zawalski, Polish Academy of Sciences

"On affine bodies with rotationally invariant sections"

We will prove that an origin-symmetric affine body $K\subset\mathbb R^n$ with sufficiently smooth boundary and such that every hyperplane section of $K$ passing through the origin is an affine body of revolution, is itself an affine body of revolution. This will give a positive answer to the recent question asked by G. Bor, L. Hernández-Lamoneda, V. Jiménez de Santiago, and L. Montejano-Peimbert (arXiv:1905.05878 [Remark 2.9]), though with slightly different prerequisites.

This seminar will be held both online and in person: