Eighty Sixth Meeting of the Transpennine Topology Triangle



University of Sheffield
Thursday 10th January 2013 


Supported by the London Mathematical Society  


Programme

All talks will be in J11, the usual seminar room on J floor of the Hicks Building.
The morning and afternoon coffee/tea will be served in the I floor common room (I15) of the Hicks Building.
Lunch may be taken in any of several local venues and we expect to visit a nearby restaurant for early evening dinner.

 

11.00 – 11.30

 

Tea, Coffee and Biscuits

11.30 – 12.30

 

Magda Kedziorek (Sheffield)

Towards the algebraic model of rational equivariant cohomology theories.

Cohomology theories are represented by spectra. However the category of spectra is quite complicated. The machinery of model categories allows us to look for different (easier, algebraic) models with the same homotopy information as the category of spectra. It is well known that rational chain complexes give an algebraic model for the rational cohomology theories. However, for G-equivariant cohomology theories, no general result of this form is known when G is a compact Lie group.

In this talk I will describe some earlier work and introduce a framework for constructing algebraic models in general. It is conjectured that the models will take the form of sheaves of modules over a topological category of subgroups of G.

I will assume only basic knowledge of algebraic topology and I will remind the audience of the  ideas of model structures.

12.30 – 2.00

LUNCH

2.00 – 3.00

 

Armindo Costa (Warwick)

The topology of random 2-complexes

In this talk I will describe some models for random simplicial complexes introduced in recent literature. Although these models generalize the celebrated Erdos-Rényi model for random graphs it makes sense to study their probabilistic topology, ie estimating topological invariants of random spaces. I will survey some of the known topological phase transitions, connections to Gromov’s theory of random groups and some challenges that lay ahead. 

3.00 – 4.00

 

Tea, Coffee and Biscuits

4.00 – 5.00

 

Teimuraz Pirashvili (Leicester)

Polynomial  functors, functor cohomology and applications

Everyone who wishes to participate is welcome, particularly postgraduate students. We shall operate the usual criteria for assistance with travel expenses. Beneficiaries will need to complete the standard forms (available from the main TTT page), and should come with NI numbers and details of UK bank accounts if they want to complete the form on the day. 


Escape routes

TTT Homepage
To MIMS