Paul Seidel, IAS Princeton

Real & Complex Morse Theory

Monday May 27, 2002, 12:15, Schreiber Bldg, Room 6.

Abstract

 How much can one say about a complex algebraic variety by looking at its real locus? This is an old question with many ramifications. A simple and quite pleasant example is the work of A'Campo and Gusein-Zade on functions of two variables (early '70s). I will review their ideas in the light of recent progress in symplectic geometry. Roughly speaking, the relation that they discovered can now be lifted from the level of abelian groups (cohomology groups, intersection forms) to the level of (triangulated) categories.