Mon, 16 May 2011

12:00 - 13:30
L3

Stability conditions on local P^2

Tom Bridgeland
(Oxford)
Abstract
This talk will be about spaces of stability conditions. I will start by recalling Mike Douglas' original work on Pi-stability for D-branes, and go on to explain a couple of of the main open questions in the subject. The second half of the talk will focus on an illustrative example, namely the case of the local projective plane.
Mon, 16 May 2011

15:45 - 16:45
L3

The Kakimizu complex of a link

Jessica Banks
(Oxford)
Abstract

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.

Mon, 28 Feb 2011

11:00 - 11:45
SR2

What is persistent homology?

Ulrike Tillmann
(Oxford)
Abstract

Persistent homology is a relatively new tool to analyse the topology of data sets.

We will give a brief introduction and tutorial as preparation for the third talk in the afternoon.

Tue, 22 Feb 2011
17:00
L2

`Nielsen equivalence of generating sets for surface groups.’

Lars Louder
(Oxford)
Abstract

I will prove that generating sets of surface groups are either reducible or Nielsen equivalent to standard generating sets, improving upon a theorem of Zieschang. Equivalently, Aut(F_n) acts transitively on Epi(F_n,S) when S is a surface group.

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