[Binghamton Geometry/Topology Seminar] October 6, joint with Combinatorics Seminar

[Marco Varisco]

Binghamton Geometry/Topology Seminar, joint with Combinatorics Seminar
http://www.math.binghamton.edu/dept/topsem/

Date: Tuesday, October 6, 2009

Time: 1:15 pm

Place: Library North 2205

Speaker: Priyavrat Deshpande (Western Ontario)

Title: Arrangements of submanifolds and the tangent-bundle complement

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 contains substantial information
about the topology of the complement of the hyperplanes in the
complexified space. For example, the cohomology of the complement can
be expressed in terms of the intersection lattice associated with the
arrangement. The face poset of an arrangement defines a simplicial
complex (Salvetti's complex) which has the homotopy type of the
complement.
In the same spirit, I define the notion of an arrangement of
submanifolds and its complexification, and I investigate whether there
is any relationship between the combinatorics of the intersections and
the topology of the complement. The aim of this talk is to introduce
this generalization of hyperplane arrangements and report current
results.