Title:
Neighbourly cubical polytopes
Abstract: A cubical polytope is a (convex) polytope all of whose faces are (combinatorial) cubes. This simple definition leads us to a fascinating class of polytopes, whose combinatorics and geometry offers many striking problems and observations. In particular, there is an obvious parallelism to the theory of simplicial polytopes  which, however, isn't perfect... In this lecture I plan to give a (biased) survey of some research on cubical polytopes. Among the results we'll get to are
