Manfred Scheucher: Erdős-Szekeres-type problems in the real projective plane
Scheucher ManfredBBC+G Seminar
on 4/22/22
We will discuss a simple way of representing -concave functions on as convex bodies in which allows us to use both standard ideas of convexity and tricks from the study of log-concave functions. We will discuss the properties of polar'' functions as an application. In particular, we prove that the reciprocal of the integral of the polar function of a log-concave function is log-concave as a function of the center of polarity.