Colloquium abstracts

Sergey Yuzvinsky
University of Oregon, USA
December 24, 2010

Cohomology jumping loci of arrangement complements and beyond:  We will discuss two examples of the sets (`loci') in the title: resonance varieties and characteristic varieties of topological spaceswith more emphasis on the former. Theory of these varieties per se and their many applications have been developed mostly for hyperplane arrangement complements. Recently some of their properties have been generalized to wider classes of spaces like complex quasiprojective varieties, formal spaces and toric complexes. We will survey as many of these topics as time allows.