TTT52: Manchester
School of Mathematics, University of Manchester.
Everyone who wished to participate was welcome, particularly postgraduate students.
Date
6 December 2005
Speakers
Andrew Baker (Glasgow)
Gamma-cohomology of rings of numerical polynomials, and E-infinity structures on K-theory
There is an obstruction theory for E-infinity structures on commutative ring spectra which makes use of Gamma-cohomology, defined by Robinson and Whitehouse. This is a cohomology theory for commutative rings that is closely related to Andre-Quillen cohomology as well as to the obstruction theory of Goerss and Hopkins.
Francis Clarke (Swansea)
Enumerating abelian groups
How many finite abelian groups are there? More precisely, given a finite set, how many of the binary operations on it make it into an abelian group? A recursion for this function is a key component in Cohen-Lenstra heuristics on the distribution of class groups. I shall give a bijective proof of the recursion in which the essential ingredient is a piece of labelled homological algebra.
Andrey Lazarev (Bristol)
Further information
The meeting was jointly supported by the London Mathematical Society and MIMS.