Twenty Fifth meeting of the Transpennine Topology Triangle

Department of Mathematics
University of Manchester
Monday 15th May 2000

TTT ABCDEFG day
About Bordism Completions Duality Equivariance Finiteness and Groups

This will be a meeting for all who would like a morning's introduction to equivariant algebraic topology, an afternoon's appreciation of John Greenlees's recent contributions to the subject, and an opportunity for informal discussions with the speaker.

The subject-matter and format is motivated by the rapidly increasing importance of equivariant techniques in all branches of topology. Those (such as the local organiser) who have no background in the subject need a helping hand to get started! We hope some participants might give a 10 minute sketch of their own equivariant interests after the second talk.

(This is a toned down version of the local organizer's copy!)

Programme

Titles and speakers are as follows.

• 12.00 noon-1.00 pm John Greenlees (Sheffield)
  ``An introduction to equivariant topology.''
  (I plan to talk about some basic constructions in equivariant homotopy, mainly be example, and to apply equivariant K theory to them). [N.B. This talk is intended to be a useful introduction to equivariant methods. Since almost noone has told me what they want to hear, it is up to you to heckle. This should make the lecture very interactive. Perhaps even interesting and spontaneous: its (almost) all up to you.]

• 4.00 pm - 5.00 pm John Greenlees (Sheffield)
  ``Rational S^1-equivariant elliptic cohomology.''
  (I plan to describe the properties of the cohomology theory and explain its construction. This involves using the algebraic model for S^1-equivariant rational cohomology theories. In practice most of the talk will be guided by the analogy with equivariant K theory, which is familiar and easier to deal with. (Joint work with Hopkins and Rosu))

Lunch will be taken locally (at "On the Eight Day", for example), and we expect to visit a local curry house (or similar) early in the evening.

Everyone who wishes to participate is welcome: we shall operate the usual arrangements for assistance with travel expenses. We expect to assemble for tea and coffee in the Brian Hartley Room at about 11.30am, and again after the second talk. Please email Nige Ray nige@ma.man.ac.uk (or John Greenlees j.greenlees@sheffield.ac.uk, or John Hunton jrh7@mcs.le.ac.uk) if you are interested in attending, so that we can cater for appropriate numbers.

How to get there

Escape routes