This meeting of the TTT is a satellite activity of the BMC. It will have a slightly nonstandard structure, with three 45 minute talks, in order to finish ahead of the start of the BMC at 3:30. TTT participants are encouraged to also participate in the BMC.
All talks will be in Engineering Lecture Theatre 1 (ENG LT 1), which
is on the first floor of the Engineering Building.
The morning coffee will be served in the foyer, just in front of
the lecture room.
Here is a link to a 3D campus map: http://www2.le.ac.uk/maps/campusmap
10:4511:15 
COFFEE 
11.1512:00

Martin Palmer (University of Oxford) Homological stability for oriented configuration spaces The
behaviour of the homology of unordered configuration spaces, as the number
of particles n goes to infinity, is wellunderstood: for each degree i,
the ith homology is eventually independent of n. The new twist in this
talk will be to study "oriented" configuration spaces, in which
a configuration of particles additionally possesses an ordering up to even
permutations. This is an example of a global parameter on configuration
spaces; it can also be interpreted as studying the homology of unordered
configuration spaces with certain twisted coefficients. 
12:001:15 
LUNCH 
1.152:00

Michal Adamaszek (University of Warwick) The symmetric join operad The cohomology of a space is a gradedcommutative algebra with product induced by the cupproduct of cochains. The latter is commutative up to homotopy via a collection of
cupiproducts and higher multivariable operations. This structure is encoded in the notion of an algebra over an
E_\infty operad. We produce such an operad and its action from a geometric
object. 
2:153:00

Harry Ullman (University of Sheffield) The equivariant stable homotopy theory of isometries Nonequivariantly, a space of linear isometries admits a stable splitting. In an equivariant setting, however, this does not generally happen. Instead, one can naturally build an equivariant stable tower with interesting topological properties similar to those exhibited by the nonequivariant splitting. We discuss this construction, while also mentioning obstructions to producing an equivariant splitting. Finally, we mention workinprogress on retrieving a stable splitting from the tower in the special case where an equivariant splitting is possible. 
3:003:30 
BMC TEA 
3:30 
Start of BMC programme 
Everyone who wishes to participate is welcome, particularly postgraduate students. We shall operate the usual criteria for assistance with travel expenses, but beneficiaries will need to complete the standard forms (available from the main TTT page), and should come armed with NI numbers and details of UK bank accounts if they want to complete the form on the day.