Kalender Department Mathematik

Tue, 05.06.2018, 16:30
Symmetry and Reflection Positivity

Referent: Prof. Dr. Rupert Frank (LMU München)
Veranstalter: Hermann Schulz-Baldes
Raum: Hörsaal H13

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, as in the example of turbulence, 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.