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Higher-order Alexander invariants of knots, 3-manifolds, and plane algebraic curves


Speaker: Constance Leidy, University of Pennsylvania
Location: 2112 MSB
Start time: Wed, Feb 15 2006, 4:10PM

Higher-order invariants are obtained from analyzing the module structure of the homology of certain solvable covers. These can be viewed as generalizations of the classical Alexander module. Higher-order invariants have been used by T. Cochran to study knots and by S. Harvey to study 3-manifolds. Recently, we used similar techniques to define higher-order Alexander invariants of algebraic planar curves. We will give an overview of higher-order invariants and discuss some recent results concerning those related to algebraic planar curves.

Dinner with the speaker following talk. Contact Carol if interested.