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Mathematics Calendar

January 18, 2010
Monday, January 18
Geometry and Topology
Time: 15:30
Speaker: Priyavrat Deshpande (Western)
Title: "Arrangements of Submanifolds"
Room: MC 108

Abstract: A real arrangement of hyperplanes is a collection of finitely many hyperplanes in a real vector space. It is known that the combinatorics of the intersections of these hyperplanes contains substantial information about the topology of the complement of the hyperplanes in the real as well as complexified space. For example, the cohomology of the complexified complement can be expressed in terms of the intersection lattice associated with the arrangement. The face poset of an arrangement defines a simplicial complex (the Salvetti complex) which has the homotopy type of this complement.