17.04.2007	Benjamin Himpel (Bonn) A splitting formula for spectral flow and the SU(3) Casson invariant of spliced sums Abstract: The SU(3) Casson Invariant does not behave well under spliced sums of homology 3-spheres. However, for splicings of complements of torus knots, Hans Boden and Chris Herald conjectured a formula relating the SU(3) Casson invariant to the SU(2) Casson invariant of the knot complements. The main tool for answering this conjecture is a splitting formula for the su(N) spectral flow of the twisted odd signature for 3-manifolds cut along a torus coupled to a path of SU(N) connections. This is a project with Hans Boden.
24.04.2007	Werner Ballmann (Bonn) Index Theory for Dirac systems
08.05.2007	Mauro Spreafico (Sao Paulo) Zeta-determinants for sequences of spectral type and a generalization of the Kronecker first limit formula Abstract: The aim of this talk is to present a new method and some new results on the zeta invariants of some classes of zeta functions, with particular emphasis to the value of the derivative of the zeta function at zero. We outline our general approach and the main results, and we present applications of these results to the following two problems: the Kronecker first limit formula for a double series of Dirichlet type, the calculation of the analytic torsion of a cone on the circle.
15.05.2007	Andreas Weber (Karlsruhe) L^p spectral theory of locally symmetric spaces
05.06.2007	Eugenie Hunsicker (z.T. MPI Bonn) Incomplete Manifolds and Perverse Signatures
12.06.2007	Katrin Wendland (Univ. of Augsburg) 'Nearly attractive' K3 surfaces - describing and generalizing Kähler-Einstein metrics on them
19.06.2007	Sara Azzali (Rome) Two spectral invariants of type rho Abstract:Classical rho-invariants have many significant applications to geometry of manifolds and for that reason it is interesting to look for new quantities of type rho. In this talk we shall introduce: the natural generalization of the Cheeger-Gromov L2 rho-invariant to the case of families of operators along the fibres of a fibration. It is a differential form on the base and it is well defined and closed under a condition on the Novikov-Shubin invariants. In the case of a fibration of spin manifolds, we prove that this L2 rho form is constant on the connected components of the space of metrics which are positive scalar curvature on the fibres. the construction (following some ideas of Mathai) of a (numerical) "higher" rho invariant associated to a 2-cohomology class [c] of the classifying space of the fundamental group G, and to a fixed couple (\alpha, \beta ) of projective representations of the group G.
26.06.2007	Victor Nistor (Penn State Univ., z.T. MPI Bonn) Lie manifolds and Schroedinger operators
09.07.2007	in the HIM lecture hall (Pop. Allee 45, ground floor), note the change from Tuesday to Monday Robert Stanton (Ohio State Univ., z.T. MPI Bonn) A geometric zeta function for Hermitian locally symmetric spaces Abstract: We shall describe a construction, joint with H. Moscovici, of a geometric zeta function attached to vector bundles over quotients of Hermitian symmetric spaces by a co-compact group of isometries. Critical to the construction are intermediate zeta functions which we construct that are modeled on the classical Selberg zeta function
(Wintersemester) 23.10.2007	Niels Martin Moller (Univ. of Aarhus)