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Mathematics Colloquium

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Date:  Thursday, October 31, 2013

Title:  Metric geometry of complex surfaces

Abstract:  A complex variety has two natural metrics in a neighborhood of any point, the "inner" and "outer" metrics, which are well defined up to bilipschitz equivalence. It is only in the last seven or eight years, starting with work of Alexandre and Birbrair, that the richness of these geometries has become evident. I will describe recent work with Lev Birbrair and Anne Pichon, describing this geometry in complex dimensions up to 2. If time permits I will also describe its relationship with Zariski's algebro-geometric notion of equisingularity.


Speaker:  Walter Neumann
Institution:  Columbia University

 

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