Marton Naszodi:

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

Abstract
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.