Past 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
4 December 2008
12:00
Roberto Rubio
Abstract
We introduce the notion of $G$-Higgs bundle from studying the representations of the fundamental group of a closed connected oriented surface $X$ in a Lie group $G$. If $G$ turns to be the isometry group of a Hermitian symmetric space, much more can be said about the moduli space of $G$-Higgs bundles, but this also implies dealing with exceptional cases. We will try to face all these subjects intuitively and historically, when possible!
• Junior Geometry and Topology Seminar
27 November 2008
12:00
Martijn Kool
Abstract
In this talk I will discuss some elementary notions of deformation theory in algebraic geometry like Schlessinger's Criterion. I will describe obstructions and deformations of sheaves in detail and will point out relations to moduli spaces of sheaves.
• Junior Geometry and Topology Seminar
20 November 2008
12:00
Alan Thompson
Abstract
Fibrations are a valuable tool in the study of the geometry of higher dimensional algebraic varieties. By expressing a higher dimensional variety as a fibration by lower dimensional varieties, we can deduce much about its properties. Whilst the theory of elliptic fibrations is very well developed, fibrations by higher dimensional varieties, especially K3 surfaces, are only just beginning to be studied. In this talk I study a special case of the K3-fibration, where the general fibres admit a &lt;2&gt;-polarisation and the base of the fibration is a nonsingular curve.
• Junior Geometry and Topology Seminar