Jon Bevan is visiting Charles University in Prague this week (20-24 April). His host for the visit is Prof Martin Kružík (UTIA, Czech Academy of Sciences). Jon is giving a talk today (Monday 20 April) in the “Nečas Seminar on Continuum Mechanics” on “Two sharp Poincare inequalities in W(1,infinity) for convex domains“. The talk is about Poincaré inequalities on convex domains and is based on work spread over three papers, the first of which was with Jonathan Deane and Sergey Zelik, the second with Jonathan, and the third paper (currently a preprint) is sole author. The figure below illustrates an extremal of the sharp median Poincaré inequality in the case that the domain is the unit disk. The first screenshot below shows the abstract and the second shows the above mentioned figure. Click on images to enlarge.