


Mon, 3 Feb
14:00 
Stephen Theriault (University of Southampton)

54/ 5A

Momentangle manifolds and Panov's problem
We answer a problem posed by Panov, which is to describe the relationship between
the wedge summands in a homotopy decomposition of the momentangle complex corresponding
to a disjoint union of m points and the connected sum factors in a diffeomorphism decomposition
of the momentangle manifold corresponding to the simple polytope obtained by making m vertex
cuts on a standard dsimplex.

Mon, 10 Feb
14:00 
Jelena Grbić (University of Southampton)

54/ 5A

The degrees of maps between (2n1)Poincare complexes
I shall describe results on degrees of maps between (n2)connected (2n1)dimensional Poincare complexes which have torsion free integral homology. In particular, necessary and sufficient algebraic conditions for the existence of map degrees between such Poincare complexes will be established and the calculation of the set of all map degrees between certain Poincare complexes will be illustrated. Time permitting, we shall see how the knowledge of possible degrees of self maps can be used to classify, up to homotopy, torsion free (n2)connected (2n1)dimensional Poincare complexes for low n.

Mon, 24 Feb
14:00 
John Hunton (Durham University)

54/ 5A

Attractive Tilings
This talk outlines a close connection between the moduli spaces of aperiodic tilings and attractors of certain types of socalled chaotic dynamical systems. We take in a little homological algebra and geometric group theory on the way.

Mon, 28 April
14:00 
Michael Farber (University of Warwick)

54/ 5A

Geometry and topology of large random spaces and groups
I will discuss several probabilistic models producing simplicial complexes, manifolds and discrete groups. Random simplicial complexes are high dimensional analogues of random graphs and can be used for studying the behaviour of large systems or networks depending on many random parameters. We are interested in properties of random spaces which are satisfies with probability tending to one. Using probabilistic models one may also test probabilistically the validity of open topological questions such as the Whitehead and the Eilenberg Ð Ganea conjectures.

Mon, 19 May
14:00 
Daisuke Kishimoto (Kyoto University)

27/2003

Topology of polyhedral products and the Golod property of
StanleyReisner rings
A polyhedral product is a space constructed from an
abstract simplicial complex and a sequence of pairs of spaces, which
appear in several important constructions such as (higher) Whitehead
products, graph products of groups, coordinate subspace arrangements,
and so on. I will talk about a homotopy decomposition of polyhedral
products motivated by a property of StanleyReisner rings called Golod.

Tue, 20 May
14:00 
Mitsunobu Tsutaya (Kyoto University)

27/1137

Finiteness of A_nequivalence types of gauge groups.
In this talk, we consider homotopy theoretic classification
problems of gauge groups. For a given principal bundle P, the gauge
group Gau(P) is the topological group of automorphisms on P.
Our main theorem is as follows: if we fix the base B and the Lie group
G, there are only finite gauge groups of principal Gbundles over
B up to A_nequivalence. As an example, we consider the
classification of the A_ntypes of the gauge groups of principal
SU(2)bundles.

Mon, 17 March
14:00 
54/ 5A


Mon, 24 March
14:00 
54/ 5A


For further information please contact the seminar organiser.