# Seventy Seventh Meeting of the Transpennine Topology Triangle

## School of Mathematics

Alan Turing Building

University of Manchester

Monday 10th January 2011

## Programme

The talks will take place in the Frank Adams Seminar Rooms 1 and 2, on
the first floor of the Alan
Turing Building. This is on the east side of the campus, off Upper
Brook Street and about 100m south of the junction with Booth Street
East. It is about 15 minutes walk from Piccadilly station, through the
old UMIST campus and under the Mancunian Way. The building is number
46 on the University
Campus map.

Participants will meet for coffee from 1100AM onwards in the Atrium
Bridge Common Room; the Frank Adams Rooms open into the common room.

Lunch may be taken in any of several local venues (such as the cafe
in the atrium, or the vegetarian "On the Eighth Day", for example), and
we expect to visit a nearby restaurant for early-evening dinner.

- 11.00-11.30: COFFEE (Atrium Bridge)

- 11.30-12.30: Michael Wiemeler (University of Manchester)

**Actions of non-abelian Lie-groups on quasitoric manifolds
**

*For a smooth manifold M, the smooth symmetry degree N_s(M) of M
is defined to be the maximum dim G for compact Lie groups G
acting smoothly and almost effectively on M. In this talk we
establish upper bounds for the symmetry degree of certain quasitoric
manifolds.
*
- 12.30-2.30: LUNCH

- 2.00-3.00: S S Khare (North-Eastern Hill University, Shillong)

**Vector fields on certain manifolds
**

*
*
- 4.00-5.00: Samik Basu (University of Copenhagen)

**R-module Thom spectra**

*Let **R* be a commutative ring spectrum. Given a map *f*
from *X* to *BGL_1R* one can construct the *R*-module
Thom spectrum *Th(f)*. If *f* is a map of loop spaces,
*Th(f)* has the structure of an *R*-algebra, and the
*R*-algebra Topological Hochschild Homology can also be described
as a Thom spectrum. Using this, one can make explicit computations of
Topological Hochschild Homology.

Everyone who wishes to participate is welcome, particularly
postgraduate students. We shall operate the usual criterea for
assistance with travel expenses, but beneficiaries will need to
complete the standard forms, and should come armed with NI numbers and
details of UK bank accounts. Please email
nigel.ray(at)manchester.ac.uk if you expect to attend, so that we can
cater for appropriate numbers.

The meeting is jointly supported by the London Mathematical Society and
MIMS.

## Escape routes

TTT Homepage

To MIMS