3:30 pm, Lecture Hall 5
Topology of hyperplane arrangements and invariant theory
University of Maryland, USA.
V. Schechtman and A. Varchenko realize invariant theoretic objects in the cohomology of local systems on complements of hyperplane arrangements. We first consider a general problem of describing the image of compactly supported cohomology of a local system (defined on the complement of a hyperplane arrangement) in regular cohomology (this problem has some variants). Then, following Looijenga, we will connect this computation to invariant theory (Gauss-Manin realization of the KZ-connection). This is a joint work with Prakash Belkale and Patrick Brosnan.