# Past Junior Geometry and Topology Seminar

30 April 2009
12:00
Oscar Randal-Williams
Abstract
I will present a new proof of Mumford's conjecture on the rational cohomology of moduli spaces of curves, which is substantially different from those given by Madsen--Weiss and Galatius--Madsen--Tillmann--Weiss: in particular, it makes no use of Harer--Ivanov stability for the homology of mapping class groups, which played a decisive role in the previously known proofs. This talk represents joint work with Soren Galatius.
• Junior Geometry and Topology Seminar
19 March 2009
12:00
Arman Taghavi-Chabert
Abstract
• Junior Geometry and Topology Seminar
12 March 2009
12:00
Ben Davison
Abstract
This talk concerns the relationships between Donaldson-Thomas, Pandharipande-Thomas, and Szendroi invariants established via analysis of the geometry of wall crossing phenomena of suitably general moduli spaces. I aim to give a reasonably detailed account of the simplest example, the conifold, where in fact all of the major ideas can be easily seen.
• Junior Geometry and Topology Seminar
5 March 2009
12:00
David Baraglia
Abstract
I will go over my paper (arXiv:0902.2135v1) which explains how semi-flat Calabi-Yau / G$_2$ manifolds can be constructed from minimal 3-submanifolds in a signature (3,3) vector space.
• Junior Geometry and Topology Seminar
26 February 2009
12:00
Abstract
• Junior Geometry and Topology Seminar
19 February 2009
12:00
Dirk Schlueter
Abstract
I will briefly discuss the construction of the moduli spaces of (semi)stable bundles on a given curve. The main aim of the talk will be to describe various features of the geometry and topology of these moduli spaces, with emphasis on methods as much as on results. Topics may include irreducibility, cohomology, Verlinde numbers, Torelli theorems.
• Junior Geometry and Topology Seminar
12 February 2009
12:00
Arman Taghavi-Chabert
Abstract
• Junior Geometry and Topology Seminar
5 February 2009
12:00
João Lopes Costa
Abstract
We prove uniqueness of the Kerr black holes within the connected, non-degenerate, analytic class of regular vacuum black holes. (This is joint work with Piotr Chrusciel. arXiv:0806.0016)
• Junior Geometry and Topology Seminar
29 January 2009
12:00
Vicky Hoskins
Abstract
• Junior Geometry and Topology Seminar
22 January 2009
12:00
Jeff Giansiracusa
Abstract
• Junior Geometry and Topology Seminar