KuanTing Yeh, University of Washington

PDL C401
The isoperimetric inequality asks the following: Given a fixed positive area, what is the shape that has the smallest perimeter? The answer to this question is given by a disk. Its history goes back to Ancient Greece, but the rigorous proof of it is relatively recent. In this expository talk, we survey some current methods in dealing with isoperimetrictype problems and discuss some possible applications.