Functional Analysis Seminar

Tue, 14/10/2008
17:00
Lina Oliveira (Lisbon) Functional Analysis Seminar Add to calendar L3
Tue, 04/11/2008
17:00
Charles Batty (Oxford) Functional Analysis Seminar Add to calendar L3
A number of results are known establishing exponential/polynomial/logarithmic decay of energy for (damped) wave equations. Typically the results have been obtained by estimating the resolvent of the generator of a certain bounded $ C_0 $-semigroup, and then showing that the estimates imply certain rates of decay for the smooth orbits of the semigroup. We shall present a result of this type, which is both general and sharp, and which has a simple proof thanks to a device of Newman and Korevaar.
Tue, 11/11/2008
17:00
Lars Olsen (St Andrews) Functional Analysis Seminar Add to calendar L3
The talk will give two entirely different answers to the question asked in the title of the talk. A topological answer will be based on the classical notion of Baire category. A measure theoretical answer will be based on the much newer notion of prevalence/shyness.
Tue, 18/11/2008
17:00
Andreas Lubbe (Oxford) Functional Analysis Seminar Add to calendar L3
Tue, 25/11/2008
17:00
Wilhelm Winter (Nottingham) Functional Analysis Seminar Add to calendar L3
We study a number of regularity properties of C*-algebras which are intimately related in the case of nuclear C*-algebras. These properties can be expressed topologically (as dimension type conditions), C*-algebraically (as stability under tensoring with suitable strongly self-absorbing C*-algebras), and at the level of homological invariants (in terms of comparison properties of projections, or positive elements, respectively). We explain these concepts and some known relations between them, and outline their relevance for the classification program. (As a particularly satisfying application, one obtains a classification result for C*-algebras associated to compact, finite-dimensional, minimal, uniquely ergodic, dynamical systems.) Furthermore, we investigate potential applications of these technologies to other areas, such as coarse geometry.
Syndicate content