SEMINARIUM NAUKOWE INSTYTUTU MATEMATYKI
Zapraszamy na wykład pod tytułem:
„Convex separation and convex structure on Riemannian manifolds”
który wygłosi
Prof. Mihály Bessenyei
(University of Miskolc, Hungary)
Wykład odbędzie się w środę, 28 maja 2025 roku
o godzinie 13:00 w sali 207 (bud. A-29) przy ul. Szafrana 4a
Streszczenie:
A theorem of Baron, Matkowski, and Nikodem characterizes those pairs of functions (defined on vector spaces) that can be separated by a convex one. The finite dimensional version of this result links surprisingly functional inequalities and convex geometry: The proof is based on the classical Carathéodory theorem. The problem of convex separation still motivates researchers. In our talk, we present a brief overview of the topic and demonstrate what happens if we try to extend the theorem of Baron, Matkowski, and Nikodem to Riemannian manifolds. It urns out that meaningful extensibility is closely connected to the convex structure induced by the geodesics of the underlying manifold.
