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Lecture 2: Lefschetz methods in topology of algebraic varieties and theory of Alexander invariants

4:00 p.m., Wednesday, 21 April 2010, in 125 McKenzie Hall

This lecture describes results which one can obtain using soft Morse theoretical methods including restrictions on the Alexander invariants of the complements to singular divisors in terms of local data and commutativity of the fundamental groups. I also describe relation between Alexander invariants and moduli spaces of ranks one local systems as well as structure results for the latter.