Márton Naszódi: Löwner's problem for log-concave functions and beyond

The class of logarithmically concave functions is a natural extension of the class of convex sets in Euclidean $d$-space. Several notions and results on convex sets have been extended to this wider class. We study how the problem of the smallest volume affine image of a given convex body $L$ that contains another given convex body $K$ can be phrased and solved for functions. Joint work with Grigory Ivanov and Igor Tsiutsiurupa.