Metric Geometry and Topology of Complex Surface Singularities
Starts 22 Jul 2011 15:30
Ends 22 Jul 2011 20:00
Central European Time
Leonardo da Vinci Building Luigi Stasi Seminar Room
Strada Costiera, 11
I - 34151 Trieste (Italy)
I am going to describe a decomposition of a germ of a complex algebraic surface near an isolated singular point, such that this decomposition gives a complete invariant of this germ with respect to local bi-Lipschitz homeomorphisms. This decomposition is related to JSJ Decomposition of the link of this singularity, considered as a smooth 3-manifold. The construction uses the carousel decomposition of neighborhoods of complex algebraic curves, constructed by Le Dung Trang. It is a joint work with Walter Neumann and Anne Pichon.