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

## Description of video

 Date: 2/18/22 Speaker : Naszódi Márton

## Keywords

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.

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