The DIANA seminar

This seminar is an informal forum where members of the DIANA group meet to discuss topics of interest. We meet on a weekly basis. The programme for these meetings will be advertised below, and by email.

If you wish to be added to (or removed from) our email list, please contact tobias.beran@univie.ac.at: subscribe or unsubscribe.

The the seminar takes place every Friday at 09:45 am in SE 07 and streamed via moodle and will be announced by email weekly.

Anyone interested is welcome to attend.

Summer term 2010

Date Speaker Title
19. Mar 2010Dr. Hideo DeguchiCase studies in linear first order hyperbolic equations
26. Mar. 2010Nathalie TassottiWarped products and General Relativity
02. Apr. 2010No seminar
09. Apr. 2010No seminar
16. Apr. 2010Prof. Maximilian HaslerA "purely" topological approach to Colombeau Type algebras
AbstractWe present an approach to Colombeau type algebras which is based on the construction of a topology on the sequence space E^I. The topolgy is constructed by combining in the simplest possible way the topology of the base space E on one hand, and of a growth scale M c R^I on the other hand. (This topology corresponds to the well-known "sharp topology" in the usual cases.) The so-called ideal of "negligible" sequences, the quotient space and the space of "moderate" sequences all arise in a very natural way. Sheaf theoretic and functorial aspects, as well as a variant of microlocal analysis, based on what we call the "singular asymptotic spectrum", can be introduced in a general setting, without the need for knowing how the topology of E is concretely defined (via seminorms, projective or inductive limits, etc.). We don't even use the fact that E is a vector space (which allows to iterate the construction, taking as base space the topological module G(E) over the topological ring of generalized numbers). Some interesting results can be proved in this very general setting, often in a rather elegant algebraic way, and thus apply to all variants of Colombeau type algebras which fit into this scheme.
23. Apr. 2010Klaus KrönckeComparison geometry
30. Apr. 2010Clemens SämannThe classical and distributional Denjoy integral
07. May 2010Christian SpreitzerThe Reznicek Problem - Existence of a Schwartz function with vanishing moments and support contained in the positive half-line
14. May. 2010No seminar
21. May 2010Christian HadererSingularity theorems and causal structure
28. May 2010Simon RösslerSpectral theory of differential operators on manifolds
04. Jun. 2010No seminar
11. Jun. 2010Katharina BrazdaEnergy estimates for the elasto-gravitational equations in global seismology
18. Jun. 2010Dr. James GrantCurvature bounds in synthetic geometry
25. Jun. 2010Annegret BurtscherThe Hopf-Rinow theorem for length spaces