Title: The resolution of the Bouleau-Hirsch energy image density conjecture (starts 9.00 sharp --12:00 2 sessions with a break )
Abstract: I will tell you about the Bouleau-Hirsch energy image density conjecture, and a bit how it relates to stochastics and my main research interest: analysis on metric spaces/fractals. I will try to say a word or two about Malliavin calculus, but focus on the key properties (mostly: lower semicontinuity, strong locality and chain rule) that are shared between three different areas: Malliavin calculus, metric spaces in fractals. The first half will try and describe these three worlds and what they share in common, and what the conjecture says. The second part is an outline of the proof - through a few general and basic principles from functional analysis and calculus.
