# 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

Both talks will take place in the Maths Tower, Room 9.05; informal discussions
will take place at other times in the Brian Hartley Room, floor 6.
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

If you don't know how to find the Mathematics tower on Oxford Road,
there is more information at
University of Manchester, Department of Mathematics Homepage

The meeting is partially supported by a Scheme 3 grant from the
London Mathematical Society.

## Escape routes

Back to TTT Homepage

To TTT24

To TTT26