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 19th January 2000
- Speaker: Simon Eveson
- Title: Norms of iterates of Volterra operators (III)
- Abstract: In two talks last year, I derived conditions sufficient for the operator and Schmidt norms of $V_k^n$ to be asymptotically equal, where $V_k$ is a Volterra convolution operator on the Hilbert space $L^2([0,1])$, and used these conditions to find asymptotic formulae for $\|V_k^n\|$ for a wide range of kernels $k$. In this talk, I shall use the AAK Theorem to show that these conditions are in fact necessary as well as sufficient.

- Wednesday 26th January 2000
- Speaker: Chris Wood
- Title: Energy Lower Bounds on High-Dimensional Spheres

- Wednesday 2nd February 2000
- Speaker: Chris Wood
- Title: Energy Lower Bounds on High-Dimensional Spheres (continued)

- Wednesday 16th February 2000
- Speaker: Arnold Arthurs
- Title: Variational Casebook

- Wednesday 23rd February 2000
- Speaker: Vladimir Kisil (Leeds)
- Title: Some Common Object in Algebra, Analysis and Combinatorics
- Abstract: We describe some connections between three different
fields: combinatorics (umbral calculus), functional analysis (linear
functionals and operators) and harmonic analysis (convolutions on
group-like structures). Systematic usage of cancellative semigroup,
their convolution algebras, and
*tokens*between them provides a common language for description of objects from these three fields.

- Wednesday 1st March 2000
- Speaker: Maurice Dodson
- Title: Exceptionals sets in dynamical systems and Diophantine approximation

- Wednesday 8th March 2000
- Speaker: Brent Everitt
- Title: Geometric manifolds - an algebraic approach
- Abstract: This will be a colloquium-style talk with no
prerequisites (well, almost none!)
Part I will cover the geometric background: what is a geometry?; the model geometries in 2,3 and 4-dimensions; geometric manifolds and many low-dimensional examples; relationship between topological and geometric structures on a manifold; the Gromov-Thurston theorem and the rigidity of geometric structures; the role played by volume.

Part II (to be given at some indeterminate time in the future) will cover the algebraic half of the title: constructing manifolds by glueings; lattices in Lie groups; constructing lattices arithmetically; the examples of Vinberg and Borcherds; representations of Coxeter groups;

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