TBA
Freitag, 13.5.11, 10:15-11:15, Raum 404, Eckerstr. 1
TBA
Freitag, 13.5.11, 11:15-12:15, Raum 127, Eckerstr. 1
On the geometry of strongly moving curves
Montag, 16.5.11, 09:00-10:00, Raum 125, Eckerstr. 1
Bridgeland stability conditions on threefolds and birational geometry
Freitag, 20.5.11, 10:15-11:15, Raum 404, Eckerstr. 1
I will explain a conjectural construction of Bridgeland stability conditions on derived category of smooth projective threefolds. It is based on a a conjectural Bogomolov-Gieseker type inequality for the Chern character of "tilt-stable" complexes. In this talk, I will present evidence for the conjecture, as well as implications of the conjecture\nto the birational geometry of threefolds. In particular, it implies a weaker version of Fujita's conjecture.
Central Extensions of Linear Algebraic Groups, K-Theory and Homotopy Theory
Freitag, 27.5.11, 10:00-11:00, Raum 404, Eckerstr. 1
In classical covering space theory we have an isomorphism of the fundamental group with the fibre of the universal cover over the basepoint. Covering spaces of topological groups are group extensions, but not every group extension is a covering space. \n\nPerfect groups admit a universal central extension and the kernel of this extension is also called fundamental group. For simply connected Chevalley-groups over a perfect field, this fundamental group, classically called second unstable K-Theory, is exactly the fundamental group of a simplicial resolution. A lot of examples will be given by explicit matrices in the special linear group.