Probabilistic approach to Bourgain's hyperplane conjecture

Series
Stochastics Seminar
Time
Thursday, January 16, 2020 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Arnaud Marsiglietti – University of Florida – a.marsiglietti@ufl.eduhttps://people.clas.ufl.edu/amarsiglietti/
Organizer
Christian Houdré

The hyperplane conjecture, raised by Bourgain in 1986, is a major unsolved problem in high-dimensional geometry. It states that every convex set of volume 1 in the Euclidean space has a section that is lower bounded away from 0 uniformly over the dimension. We will present a probabilistic approach to the conjecture.