This will be a working meeting. There will therefore be the usual time for
participant discussion.
Betti numbers of configuration spaces of mechanical linkages (known also as polygon spaces) depend on a large number of parameters -- the lengths of the bars of the linkage. Motivated by applications in topological robotics, statistical shape theory and molecular biology, we view these lengths as random variables and study asymptotic values of the average Betti numbers as the number of links n tends to infinity. We establish a surprising fact that for a reasonably ample class of sequences of probability measures the asymptotic values of the average Betti numbers are independent of the choice of the measure.
Andras Juhasz "Classifying minimal genus Seifert surfaces"
First I will survey two different notions of equivalence for Seifert surfaces. Then I will show how sutured Floer homology helps in the classification of minimal genus Seifert surfaces under both types of equivalence.
Anyone who wishes to participate is welcome: we shall operate the usual
arrangements for assistance with travel expenses. We expect to assemble for tea
and coffee in I15, Floor 5, from 11.00 am until the first talk. Each lecture
will take place in Room J11 of the Hicks Building, Hounsfield Road,
Sheffield.
Tea and Coffee will be served in the common room I15.
For
further information email John Greenlees j.greenlees@sheffield.ac.uk, (or
John Hunton jrh7@mcs.le.ac.uk or Nige Ray
nige@ma.man.ac.uk) if you are interested,
so we can make approximately the right amount of tea and coffee.
TTT meetings are partially supported by an LMS Scheme 3 grant. Anyone who
wishes to participate is welcome: we shall operate the usual arrangements for
assistance with travel expenses.