Metric Geometry of Algebraic Singular Spaces

Geometry & Topology
Event time: 
Thursday, November 8, 2007 - 11:30am to Wednesday, November 7, 2007 - 7:00pm
431 DL
Lev Birbrair
Speaker affiliation: 
Universidade Federal do Ceara
Event description: 

We consider algebraic sets (real or complex) as metric spaces with a natural inner metric, obtained from the embeddings of these sets into the affine (or projective) space. We are interested in the cases when the sets have singularities (isolated or nonisolated) and study the properties of these metrics near singular points. In particular, we consider the question of Lipschitz classification of singularities of curves and surfaces. For real surfaces we present a complete answer, but the case of complex surfaces is more difficult.