Campuses:

Helly-type Theorems for Line Transversals to Disjoint Balls

Wednesday, May 30, 2007 - 2:30pm - 3:00pm
EE/CS 3-180
Xavier Goaoc (Institut National de Recherche en Informatique Automatique (INRIA)-Lorraine)
Helly's theorem of 1923 opened a large field of inquiry now
designated
as geometric transversal theory. A typical concern is the
study of all
k-planes (also called k-flats) that intersect all elements of
a given
family of subsets (or objects) in Rd. These are the
k-transversals of
the given family and they define a certain subspace of the
corresponding Grassmannian.

I will present recent results on Helly-type theorems for the
existence
of line transversals to disjoint balls obtained in
collaboration with
Ciprian Borcea, Otfried Cheong, Andreas Holmsen and Sylvain
Petitjean.
MSC Code: 
52A35
Keywords: