Geometry and Analysis Seminar

Mon, 11/05/2009
14:15
Peter Zograf (St Petersburg) Geometry and Analysis Seminar Add to calendar L3
Mon, 01/06/2009
14:15
Oscar Randal-Williams (Oxford) Geometry and Analysis Seminar Add to calendar L3
Joint work with Soren Galatius. We study categories C of d-dimensional cobordisms, from the perspective of Galatius, Madsen, Tillmann and Weiss. Their main result is the determination of the homotopy type of the classifying-space of such cobordism categories, as the infinite loop space of a certain Thom spectrum. One can investigate subcategories D of C having the property that the classifying-space BD is equivalent to BC, the smaller such D one can find the better. We prove that in may cases of interest, D can be taken to be a homotopy commutative monoid. As a consequence, the stable cohomology of many moduli spaces of surfaces can be identified with that of the infinite loop space of certain Thom spectra.
Mon, 08/06/2009
14:15
Eric Swenson (Brigham Young) Geometry and Analysis Seminar Add to calendar L3
It a classical result from Kleinian groups that a discrete group, $ G $, of isometries of hyperbolic k-space $ \Bbb H^k $ will act on the boundary sphere, $ S^{k-1} $, of $ \Bbb H^k $ as a convergence group. That is: For every sequence of distinct isometries $ (g_i)\subset G $ there is a subsequence $ {g_i{_j}) $ and points $ n,p \in \S^{k-1} $ such that for $  x \in S^{k-1} -\{n\} $, $ g_i_{j}(x) \to  p $ uniformly on compact subsets
Mon, 15/06/2009
14:15
Wilhelm Klingenberg (Durham) Geometry and Analysis Seminar Add to calendar L3
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