Topology Seminar
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Mon, 09/05/2011 15:45 |
Martin Bridson (Oxford) |
Topology Seminar  |
L3 |
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Mon, 16/05/2011 15:45 |
Jessica Banks (Oxford) |
Topology Seminar |
L3 |
| We give an introduction to the Kakimizu complex of a link, covering a number of recent results. In particular we will see that the Kakimizu complex of a knot may be locally infinite, that the Alexander polynomial of an alternating link carries information about its Seifert surfaces, and that the Kakimizu complex of a special alternating link is understood. | |||
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Mon, 23/05/2011 15:45 |
Remi Coulon (MPI Bonn) |
Topology Seminar |
L3 |
| The goal of this talk is to construct new examples of hyperbolic aspherical complexes. More precisely, given an aspherical simplicial complex P and a subcomplex Q of P, we are looking for conditions under which the complex obtained by attaching a cone of base Q on P remains aspherical. If Q is a set of loops of a 2-dimensional complex, J.H.C. Whitehead proved that this new complex is aspherical if and only if the elements of the fundamental group of P represented by Q do not satisfy any identity. To deal with higher dimensional subcomplexes we use small cancellation theory and extend the geometric point of view developed by T. Delzant and M. Gromov to rotation families of groups. In particular we obtain hyperbolic aspherical complexes obtained by attaching a cone over the "real part" of a hyperbolic complex manifold. | |||
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Mon, 30/05/2011 15:45 |
Goulnara Arzhantseva (Vienna) |
Topology Seminar |
L3 |
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Mon, 06/06/2011 15:45 |
John Francis (Northwestern) |
Topology Seminar |
L3 |
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Mon, 13/06/2011 15:45 |
Chris Douglas (Oxford) |
Topology Seminar |
L3 |
