Talks will be in J11 (J floor) and coffee/tea in the common room I15 (I floor) of the Hicks building.
10:30 - 11:00
|11:00 - 12:00||Dae-Woong Lee (Chonbuk, Korea)|
On the Steenrod homology, co-Hopf structures, SNT and the Brown-Peterson spectra
|12:00 - 14:00||Lunch|
|14:00 - 15:00|| Dean Barber (Sheffield)|
A Combinatorial Model for the Fulton-Macpherson Operads
|15:00 - 16:00||Tea/coffee|
|16:00 - 17:00||Andy Tonks (Leicester)|
Tilings, Trees, DG2As and B∞-Algebras
We also describe the set of comultiplications on a wedge of finite number of spheres. We are primarily interested in the size of this set and properties of the comultiplications such as associativity and commutativity. Our methods involve Whitehead products in wedges of spheres and the Hopf-Hilton invariants. We apply our results to specific examples and determine the number of comultiplications, associative comultiplications and commutative comultiplications in these cases. This is a part of a joint work with Martin A. Arkowitz.
By using the rational homotopy theory, we give an answer to the question on the same n-type structure based on the infinite complex projective space raised by C.A. McGibbon and J.M. Moller in 1990, and describe the generalized SNT conjectures of CW-complexes. Especially, we show that the set of all the same n-types of the suspension of the Eilenberg-MacLane spaces is the one element set consisting of a single homotopy type.
Finally, we consider the homotopy structure of the Real-oriented Brown-Peterson spectrum and the local cohomology of the basic block and the negative block of the homotopy of BPR<3>, and their Anderson duals. This is a joint work in progress with J.P.C. Greenlees.
Everyone who wishes to participate is welcome, particularly postgraduate students. The usual criteria for assistance with travel expenses apply. Beneficiaries will need to complete the standard forms, which are available at the TTT Homepage.