Probabilistic Operator Algebra Seminar: A free analog of Bobkov’s Gaussian Isoperimetry Inequality

Event details Date: Monday, August 17, 2026 Time: 9:00 AM to 10:30 AM Location: to attend via Zoom email David Jekel (daj@math.ku.dk) remote on-line talk Type: Lecture / Workshop About this event Speaker: Dimitri Shlyakhtenko, UCLA We prove a one-variable functional inequality which is the free probability analog of Bobkov’s isoperimetry inequality. The inequality involves the $L^1$ norm of the difference quotient of a function $f$ and can be viewed as a non-local isoperimetric inequality. We also prove related inequalities for subsets of an interval as well as subsets of roots of Hermite polynomials. This paper is also an experiment in AI-based exploration of free analogs of classical probability statements. Official event details: https://events.berkeley.edu/math/event/323725-probabilistic-operator-algebra-seminar-a-free