Talks are in Vanbrugh College, room V/131, at 11:15 every (well, almost every!) Wednesday morning during term. Coffee beforehand in the common room opposite (V/135) at 11:00. Everybody welcome!

- Wednesday 20th October 1999
- Speaker: Simon Eveson
- Title: Norms of iterates of Volterra operators (II)
- Abstract: Last term I gave a talk in which I reproduced earlier results by Kershaw and Thorpe on the speed of decay of ||V^n|| where V is the indefinite integration operator acting on the Hilbert space L^2[0,1]. In this talk I shall discuss generalisations to a wide class of Volterra convolution operators.

- Wednesday 27th October 1999
- Speaker: Maurice Dodson
- Title: The theorems of Shannon and Plancherel: energy conservation in communication theory

- Wednesday 3rd November 1999
- Speaker: Ian McIntosh
- Title: New Soap Bubbles
- Abstract: The geometric characterisation of a soap bubble is that it is a surface of constant mean curvature. Another characterisation is that its Gauss map is a harmonic map to the 2-sphere. All such maps arise from solving an ODE with values in a loop group. The talk will aim to explain how this works and present some new surfaces obtained by implementing this procedure. The phrase "integrable system" will be mentioned, not just in passing and not without some justification.

- Wednesday 10th November 1999
- Speaker: Birgit Jacob (Leeds)
- Title: On the continuity and boundedness of the spectral factorization mapping

- Wednesday 24th November 1999
- Speaker: Vladimir Kisil (Leeds)
- Title: Non-Commutative Geometry: Algebra, Analysis, and Symmetries
- Abstract: It was realized during last 50 years that many structures of functional analysis could be viewed as non-commutative counterparts of fundamental geometric objects. For example, a positive linear functional on a noncommutative Banach algebra correspond to an additive measure on a set. Such an approach explores interesting connections between algebra, geometry, and analysis. The transition from commutative to non-commutative spaces is often associated with quantization. We give an elementary overview of this topic.

- Wednesday 1st December 1999
- Speaker: Chris Wood
- Title: Global Analysis on the 3-Sphere
- Abstract: I will be discussing the energy of unit vector fields on the 3-dimensional sphere (that is, the unit sphere in 4-space). Since the talk involves an element of surprise, I shall not provide any further details here!

- Wednesday 8th December 1999
- Speaker: Jonathan Partington (Leeds)
- Title: Approximation in Hilbert spaces of analytic functions
- Abstract: Several problems involving approximation in Hilbert spaces of analytic functions, including Hardy spaces and Paley-Wiener spaces, can be put into a general framework and solved using operator theory. We shall touch lightly on some of the applications, which include Systems Identification, Signal Processing and Inverse Problems for PDEs.

- Wednesday 15th December 1999
- Speaker: Chris Fewster
- Title: Microlocal analysis and quantum inequalities
- Abstract: Microlocal analysis provides powerful tools for analysing the singularities of distributions. I will give a short introduction to some aspects of microlocal analysis, and then describe a recent application of these techniques to derive rigorous and general `quantum inequalities'. These results provide lower bounds on the averaged energy density of a quantum field measured by an observer.

Click here for the Departmental seminar series and links to the other specialist seminar series.