28th September 2004
Alex Scott, UCL
Reconstructing subsets of the plane
How much information do we need to reconstruct (up to rigid
motion) a finite set of points in the plane?
Is it enough to know the
collection (with multiplicities) of all its subsets of size k, given up to
rigid motion? Is there some k that will suffice for every finite subset
of the plane?
We present joint work with Luke Pebody and Jamie Radcliffe
on the latter question, and discuss some related problems and conjectures.