K(pi,1)-property of complements to curve arrangements on surfaces (Dmitri Panov)

Duration: 1 hour 6 mins 32 secs
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Created: 2012-04-24 13:47
Collection: Workshop on Kahler Geometry
Publisher: University of Cambridge
Copyright: Dr J. Ross
Language: eng (English)
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Author:  Dmitri Panov
 
Abstract: It is a non-trivial question to understand when a complement to a collection of curves on a complex surface is of type K(pi,1). We will explain that such a property (which is rather rare by itself) holds in cases when one can construct on the surface a non-positively curved Kaehler metric with conical singularities of angles less than 2pi along the collection of curves.
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