meeting of the Transpennine Topology Triangle
Department of Mathematics and Computer Science
University of Leicester
March 4th, 2003
Coffee will be available in F9 from 11.00 am, and the first talk will
start at 11.30 am.
- 11.30:Simona Paoli (Warwick)
(Co)homology of crossed modules)
- 12.45 Lunch
- 2.30: Javier Gutierrez (UAB Barcelona and Sheffield)
Homotopy localizations of Eilenberg--MacLane spectra
- 3.30 Tea
- 4.00:Pascal Lambrechts (Louvain-la-Neuve)
Configuration spaces from the rational homotopy viewpoint.
Simona Paoli (Warwick)
Title: (Co)homology of crossed modules.
Abstract: Crossed modules are algebraic models of 2-types; these
have topological aspects as well as purely algebraic ones, and this gives
rise to different (co)homology theories: the cohomology of the
space and the CCG cohomology, which is a type of cotriple (co)homology.
After recalling the construction of these theories I shall illustrate
some further developments in the (co)homology of crossed modules; these
are obtained by considering more general classes of coefficients for the
cotriple (co)homology and by introducing a (co)homology of
Javier Gutierrez (UAB Barcelona and Sheffield)
Title: Homotopy localizations of Eilenberg--MacLane spectra
Abstract: We prove that stable homotopical localizations preserve
ring spectra and module spectra structures under suitable hypothesis. We
use this fact to describe the main features of localization of
$HR$-modules (i.e., stable $R$-GEMs), motivated by similar results in
unstable homotopy. In particular, we compute the homological
of the Eilenberg--Mac\,Lane spectra $HG$ and describe all possible
localizations of the integral Eilenberg--Mac\,Lane spectrum
Pascal Lambrechts (Louvaine-la-Neuve)
Title: Configuration spaces from the rational homotopy viewpoint.
Abstract: I will discuss on the configuration space of $k$ points
in a closed
manifold $M$, denoted by $F(M,k)$. Fulton and McPherson have constructed
an algebraic model for the rational homotopy type of $F(M,k)$ when $M$
is a smooth complex projective algebraic variety. In this talk we will
discuss how this model can be generalized for other closed manifold, even
though we cannot yet determine completely the rational homotopy type
of $F(M,k)$. (This is a joint work with Don Stanley.)
TTT39 is partially supported by an LMS Scheme 3 grant.
Please let John Hunton know
if you will be joining us for lunch, as he needs to make specific bookings.
Anyone who wishes to participate is welcome: we shall operate the
usual arrangements for assistance with travel expenses.
Tea and Coffee will be served in
the common room.
For further information email John Hunton
(or John Greenlees
email@example.com) if you are interested, so we can make
approximately the right amount of tea and coffee.
How to get there
It is a short walk from the rail station. See
maps and how to get to Leicester University
The meeting is partially supported by a Scheme 3 grant from the
London Mathematical Society, and the
Modern Homotopy Theory RTN
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