Summer semester 2008
Tuesday, 14:15 (talks last for about an hour plus discussion)
Seminarraum D (via Beringstr. 1)
15.04.08 | Toshikazu Sunada (Meiji Univ. /MPIM) Pinning down a diamond twin: an application of discrete geometric analysis Abstract: A random walker on a crystal lattice X detects the most natural way for X to sit in space. Using this fact, I will pin down a diamond twin which has the same property of symmetry as the diamond crystal. I also mention a relationship with a graph version of Abel-Jacobi map. |
22.04.08 | Michael Dreher (Konstanz/Bonn) Elliptische Systeme gemischter Ordnung mit Anwendungen |
29.04.08 | Matthias Lesch (Bonn) The Calderón Projection: New Definition and Applications |
06.05.08 | Alessandro Portaluri (Milan) The homology of path spaces and Floer homology with conormal boundary conditions |
27.05.08 | Dan Freed (Univ. of Texas, Austin) Dirac operators and differential K-theory |
03.06.08 | Tilmann Wurzbacher (Metz) Some remarks on the geometry of loop spaces |
10.06.08 | Werner Hoffmann (Bielefeld) Application of asymptotic and descent formulas for weighted orbital integrals |
24.06.08 | Dan Mangoubi (MPI Bonn) On the Inner Radius of Nodal Domains Abstract: Let M be a closed Riemannian manifold of dimension n. Let f be an eigenfunction of the Laplacian on M with eigenvalue k. The k-nodal set is the zero set {f=0}. A k-nodal domain is a connected component of the set f<>0. Faber-Krahn Inequality shows that the volume of any k-nodal domain is > C/k^{n/2}, where C depends only on the metric. We ask whether it is possible to insert a ball of radius >C/k^{1/2} in a k-nodal domain. We give an affirmative answer in dimension two, and give a partial answer in dimension n>=3. In fact, we prove that the inner radius of a k-nodal domain > C/k^{(n-1)/2}. We show that this problem is closely related to a connection between zeroes of harmonic functions and their growth. |
01.07.08 | Stefan Haller (Wien) Non-selfadjoint Laplacians and analytic torsion Abstract: We will discuss an approach to analytic (Ray-Singer) torsion which is based on non-selfadjoint Laplacians associated to a flat vector bundle over a closed Riemannian manifold. Essentially, this analytic torsion is a non-vanishing complex number which depends holomorphically on the flat connection. We will then turn to comparison results, relating it to the combinatorial (Milnor-Turaev) torsion as well as the "refined analytic torsion" introduced by Braverman and Kappeler. |
08.07.08 | Atle Hahn (Lissabon) From the Chern-Simons path integral to the Reshetikhin-Turaev invariant |
10.07.08 Special Date! | 14:15-15:15, Seminarraum E (via Beringstr. 1) Mark Malamud (Donetsk National University, Ukraine) Absolutely continuous spectrum, scattering matrices and Weyl functions |
15.07.08 | Henri Moscovici (Columbus, Ohio) Relative Connes-Chern character for manifolds with boundary |