Forthcoming events in this series
15:45
Differential Operators on Loop Spaces
Abstract
This talk will be a tour of a couple of problems in the differential topology of
loop spaces. We shall do a "compare and contrast" between these problems
and their finite dimensional analogues, with the aim of illustrating some of the
intriguing aspects of infinite dimensional manifolds.
The problems that we shall focus on are those of defining analogues of
differential operators on manifolds, in particular the Dirac and the
(semi-infinite) de Rham operators.
15:00
15:45
15:45
12:00
On the Farrell-Jones Conjecture for higher algebraic K-Theory
Abstract
The Farrell-Jones Conjecture predicts that the algebraic K-Theory of a group ring RG can be expressed in terms of the algebraic K-Theory of the coefficient ring R and homological information about the group. After an introduction to this circle of ideas the talk will report on recent joint work with A. Bartels which builds up on earlier joint work with A. Bartels, T. Farrell and L. Jones. We prove that the Farrell-Jones Conjecture holds in the case where the group is the fundamental group of a closed Riemannian manifold with strictly negative sectional curvature. The result holds for all of K-Theory, in particular for higher K-Theory, and for arbitrary coefficient rings R.
15:45
15:45
Cobordism categories in arbitrary dimensions -- a generalisation of Madsen-Weiss' theorem
15:45
Smooth extensions of cohomology theories - a combined framework for primary and secondary invariants.
15:45
17:00
17:00
Subdirect products of hyperbolic groups, logic, Kaehler geometry and profinite groups
17:00
Branched covers and large groups
Abstract
/notices/events/abstracts/topology/lackenby.shtml
17:00
17:00