# Barnabás Janzer: Rotation inside convex Kakeya sets

## Description of video

 Date: 11/25/22 Speaker : Janzer Barnabás

## Keywords

Let K be a convex body (a compact convex set) in ${R}^{d}$, that contains a copy of another body S in every possible orientation. Is it always possible to continuously move any one copy of S into another, inside K? As a stronger question, is it always possible to continuously select, for each orientation, one copy of S in that orientation? In this talk we answer these questions of Croft.

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