An Approach to the Hyperplane Conjecture

Research Horizons Seminar
Wednesday, November 7, 2012 - 12:05pm
1 hour (actually 50 minutes)
Skiles 005
Georgia Tech, College of Computing
The hyperplane conjecture of Kannan, Lovasz and Simonovits asserts that the isoperimetric constant of a logconcave measure (minimum surface to volume ratio over all subsets of measure at most half) is approximated by a halfspace to within an absolute constant factor. I will describe the motivation, implications and some developments around the conjecture and an approach to resolving it (which does not seem entirely ridiculous).