Title: The Kannan-Lovász-Simonovits conjecture up to polylog
Speaker:Joseph Lehec (Université Paris-Dauphine)
Time: Wednesday, May 4, 2022, 16:00-17:30 (UTC+8)
Location: Zoom, Zoom Meeting ID: 938 5012 7691, Password: 123399
Abstract:The Kannan-Lovász-Simonovits conjecture asserts that high dimensional logconcave probability measures satisfy a certain universal concentration property.In a recent joint work with Bo’az Klartag we prove that this conjecture holds true up to a factor that is polylogarithmic in the dimension. In this talk I’ll mostly speak about the context around this conjecture, in particular I’ll present some of its numerous consequences. If time abides I’ll say a few words about our proof towards the end of the talk.
Meeting link:https://zoom.us/j/93850127691?pwd=UzRnWXlWRDM1VlI5TFJEZ05lWE1aQT09
The Kannan-Lovász-Simonovits conjecture up to polylog.pdf
More information about the Functional Analysis Seminar can be found here.