Michele Bartuccelli is visiting Durham University today (Friday 14 March) to give a talk in the Numerical Analysis Seminar Series.  The title of the talk is “Sharp constants for the L-infinity norm on the torus and applications to dissipative partial differential equations“. In the talk he will obtain sharp estimates for the constants appearing in the Sobolev embedding theorem for the L-infinity norm on the d-dimensional torus for d=1,2,3.  The sharp constants are expressed in terms of the Riemann zeta-function, the Dirichlet beta-series and various lattice sums.  He will then illustrate the results by analyzing the solutions of the Swift-Hohenberg equation and (time permitting) the two-dimensional Navier-Stokes equations.