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

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• Dmitri Panov (Kings College)
• Friday 13 April 2012, 12:00-13:00
• MR2.

If you have a question about this talk, please contact Dr. J Ross.

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.

This is a joint work with Anton Petrunin.

This talk is part of the Workshop on Kahler Geometry series.

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