Colloque des sciences mathématiques du Québec

12 octobre 2012 de 16 h 00 à 18 h 00 (heure de Montréal/Miami) Sur place

Symmetry and Reflection Positivity

Colloque par Rupert Frank (Princeton University and Caltech)

There are many examples in mathematics, both pure and applied, in which problems with symmetric formulations have non-symmetric solutions. Sometimes this symmetry breaking is total, but often the symmetry breaking is only partial. One technique that can sometimes be used to constrain the symmetry breaking is reflection positivity. It is a simple and useful concept that will be explained in the talk, together with some examples. One of these concerns the minimum eigenvalues of the Laplace operator on a distorted hexagonal lattice. Another example that we will discuss is a functional inequality due to Onofri. The talk is based on joint work with E. Lieb.

Adresse

UQAM, Pav. Sherbrooke, 200, rue Sherbrooke O., salle SH-3420