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# Sam Payne : Boundary complexes and weight filtrations

The boundary complex of an algebraic variety is the dual complex of the boundary divisor in a compactification of a log resolution. I will present recent work showing that the homotopy type of this complex is independent of the choice of resolution and compactification, and give relations between these complexes and Deligne's weight filtration on singular cohomology.

**Category**: Algebraic Geometry**Duration**: 01:34:51**Date**: February 16, 2011 at 4:25 PM-
**Tags:**seminar, Algebraic Geometry Seminar

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