tba
Monday, 1.2.21, 16:15-17:15, vSR318 (Kasparov)
Spectral theory of infinite-volume hyperbolic manifolds
Monday, 1.2.21, 16:15-17:15, vSR318 (Kasparov)
In this talk, we define a twisted Laplacian on an orbibundle over a hyperbolic surface (that might be of infinite volume). We prove the meromorphic continuation of the resolvent to the entire complex plane and prove an upper bound on the number of resonances. Additionally, we introduce the corresponding scattering matrix and prove an explicit formula for its determinant in terms of the Weierstrass product over the resonances.\n\nThis is a joint work with M. Doll and A. Pohl.\n\nP.S. The announcement is duplicated, because I have forgotten the password for the previous announcement.
The Laplace on unbounded domains with mixed boundary conditions
Monday, 8.2.21, 16:15-17:15, vSR318 (Kasparov)
In the first part we are going to talk about basic preliminaries to show existence of solutions of the Possion problem.\nIn the second part we will see the invertibility of the Laplace with mixed boundary conditions on manifolds with finite width and bounded geometry. I will also adress the problems in generalising the former proof to the problem with pure Neumann conditions.
Gelfand-Tripel
Monday, 15.2.21, 16:15-17:15, vKasparov