T&G: Graham Denham (Western University), Cohomological vanishing and abelian duality

Tue, 27/11/201814:00-15:30
Room 209, Manchester Building, Jerusalem
Cohomology jump loci are secondary cohomological invariants of discrete groups and topological spaces. I will describe some recent work on the cohomology jump loci of complements of unions of smooth complex hypersurfaces, and I will motivate the notion of abelian duality spaces that I introduced in joint work with Alex Suciu and Sergey Yuzvinsky. The study of such hypersurface arrangements involves a mix of combinatorics and complex geometry.