DMS Colloquium: Ferenc Fodor

Speaker: Ferenc Fodor, University of Szeged (Hungary)

Title: On the \(L_p\) dual Minkowsi problem

Abstract: We will mainly discuss the solution of the existence part of the \(L_p\) version of the \(q\)^th dual Minkowski problem for \(p>1\) and \(q>0\). The \(L_p\) dual Minkowski problem, formulated by Lutwak, Yang, and Zhang, provides a unification of several other variants of the question. We will concentrate on the more geometric parts of the argument and especially on the discrete case. We will also describe some regularity properties of the solution with the help of the corresponding Monge–Ampère equation. This is joint work with Károly J. Böröczky (MTA Rényi Institute, Budapest, and Central European University, Budapest, Hungary).

Faculty host: Andras Bezdek