Chennai Mathematical Institute

Seminars




3:30 pm, Lecture Hall 5
Topology of hyperplane arrangements and invariant theory

Swarnava Mukhopadhyay
University of Maryland, USA.
21-07-16


Abstract

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.





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