The classical Serrin’s overdetermined theorem states that a C^2
bounded domain, which admits a function with constant Laplacian
that satisfies both constant Dirichlet and Neumann boundary
conditions, must necessarily be a ball. While extensions of...
In this talk I will try to motivate the interest and some of the
mystery in the Ramsey numbers R(k), which are fundamental
quantities in combinatorics. I will go on to discuss some recent
progress on our understanding of these numbers and make some...