28th September 2004<br>
Alex Scott, UCL<br>  
<br>
<br>                                                                          
Reconstructing subsets of the plane
<br><br>

Abstract:

  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?
<br>
We present joint work with Luke Pebody and Jamie Radcliffe
on the latter question, and discuss some related problems and conjectures.