This term, will be having general talks about current research and will also going through a paper on persistant homology. See: MR2358377 (2008i:55007)
Ghrist, Robert(1-IL), Barcodes: the persistent topology of data. (English summary)
Bull. Amer. Math. Soc. (N.S.) 45 (2008), no. 1, 61--75.
This week's talk will be by Mark Walsh elaborating on material in his Monday colloquium talk: Abstract: The problem of whether or not a smooth manifold admits a
Riemannian metric of strictly positive scalar curvature (psc-metric)
has been extensively studied. In particular, in the case of simply
connected manifolds of dimension at least five, this problem is
completely understood. Far less is known however about the topology of
the space of psc-metrics or the corresponding moduli space. In this
talk I will discuss some recent progress in this area which involves
techniques for constructing interesting families of psc-metrics which
are parametrised by Morse and generalised Morse functions.