Friday, 1.3.13, 09:15-10:15, Raum 404, Eckerstr. 1
Symplectic Constraints of Field Theories
Friday, 1.3.13, 09:15-10:15, Raum 404, Eckerstr. 1
For field theories defined on a manifold with a boundary\nthere exists a canonical symplectic structure. This structure enables the constraints of a field theory to be categorised and interpreted geometrically. In particular, Yang-Mills theory, BF theory and Chern-Simons theory all satisfy a theorem which relates the properties of this structure to the form of their actions.\n
Log Terminal Singularities (joint work with A. Chiecchio)
Friday, 8.3.13, 10:00-11:00, Raum 404, Eckerstr. 1
Inspired by the work of de Fernex and Hacon on singularities of normal varieties (2009), we define a new notion for Log Terminal singularities. In this context we prove that the relative canonical ring is finitely generated and that log terminal varieties are klt in the usual sense if and only if the anti-canonical ring is finitely generated. We deduce a relation to the Minimal Model Program and some interesting features on defect ideals.
Transitivität von Automorphismengruppen von Gizatullin-Flächen
Tuesday, 12.3.13, 10:00-11:00, Raum 404, Eckerstr. 1
Abstract siehe http://www.gk1821.uni-freiburg.de/events/vortrag-von-sergei-kovalenko-bochum
Transitivity of automorphism groups of Gizatullin surfaces
Tuesday, 12.3.13, 10:00-11:00, Raum 404, Eckerstr. 1
On singular symplectic complex spaces
Friday, 15.3.13, 10:00-11:00, Raum 404, Eckerstr. 1
I start out presenting basic results in the deformation theory of singular symplectic complex spaces. Among others I explain how (and in what sense) it is possible to generalize the well-known local Torelli theorem for hyperkähler manifolds to a possibly singular setting. As a consequence one obtains that certain irreducible symplectic spaces satisfy the Fujiki relation. If time allows, I shall discuss applications of the latter fact.