University of Calgary

Fejes Toth Lecture

Feb 12 2009 - 2:00pm
Feb 12 2009 - 3:00pm
Igor Pak, University of Minnesota, USA
MS 431
Inflating polyhedral surfaces
Can you have a non-convex polyhedron with bigger volume than a convex polyhedron with isometric surface? Imagine you start blowing air into a polyhedron with a bendable but non-stretchable surface. What can be said about the limiting shape? These are the key questions I will consider. I will start the talk by discussing the history of the problem, presenting examples, and surveying earlier work on realization of surfaces. In the second part of the talk I will discuss my recent results on volume-increasing deformations of polyhedral surfaces.