Geometry and Analysis Seminar
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Mon, 27/04/2009 14:15 |
Gilles Carron (Nantes) |
Geometry and Analysis Seminar |
L3 |
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Mon, 04/05/2009 14:15 |
Jeff Giansiracusa (Oxford) |
Geometry and Analysis Seminar |
L3 |
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Mon, 11/05/2009 14:15 |
Peter Zograf (St Petersburg) |
Geometry and Analysis Seminar |
L3 |
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Mon, 18/05/2009 14:15 |
Gabriele Mondello (Imperial) |
Geometry and Analysis Seminar |
L3 |
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Mon, 25/05/2009 14:15 |
Geometry and Analysis Seminar |
L3 | |
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Mon, 01/06/2009 14:15 |
Oscar Randal-Williams (Oxford) |
Geometry and Analysis Seminar |
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. | |||
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Mon, 08/06/2009 14:15 |
Eric Swenson (Brigham Young) |
Geometry and Analysis Seminar |
L3 |
It a classical result from Kleinian groups that a discrete group, , of isometries of hyperbolic k-space will act on the
boundary sphere, , of as a convergence group.
That is:
For every sequence of distinct isometries there is a subsequence and points such that for , uniformly on compact subsets |
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Mon, 15/06/2009 14:15 |
Wilhelm Klingenberg (Durham) |
Geometry and Analysis Seminar |
L3 |

-convergence: The dynamics of isometries of Hadamard spaces on the boundary
, of isometries of hyperbolic k-space
will act on the
boundary sphere,
, of
there is a subsequence
and points
such that for
,
uniformly on compact subsets