Mathematical Sciences Seminar - Symmetry and Low Lying Eigenvalues
When:
—
Venue:
Birkbeck Main Building, Malet Street
No booking required
The Bolza surface and Klein Quartic are the most symmetric compact Riemann surfaces of genus two and three respectively. It is possible to prove results about their Laplace spectra based on the representation theory of their automorphism groups - I will discuss this in detail for the Bolza surface. I will present a Faber-Krahn style inequality that I have proved for hyperbolic cylinders, and apply it to a proof on the first eigenspace of the Bolza surface. I will then describe a few interesting properties of the Klein Quartic, including an initial result on the first eigenspace.
Contact name:
Department of Economics, Mathematics and Statistics