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# Richard Hain : Fundamental groups of branched coverings of certain Kaehler manifolds

In this talk I will discuss a result that describes (under certain conditions) the fundamental group of certain branched coverings of quasi-projective varieties that admits a complete Kaehler metric with non-positive curvature. When applied to the period map for genus 3 curves, it implies that the Torelli group in genus 3 is finitely generated. Combined with recent work of Putman and Hatcher-Margalit, it gives a new proof of Dennis Johnson's result that the Torelli group is genus g is finitely generated for all g > 2.

**Category**: Geometry and Topology**Duration**: 01:34:50**Date**: February 14, 2012 at 4:25 PM**Views**: 127-
**Tags:**seminar, Geometry/topology Seminar

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