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

Description of video

Date: 2/18/22
Speaker :Naszódi Márton

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.