Quantum Lunch: Stahl's Theorem

Speaker: Fabien Clivaz, University of Geneva.

Abstract: The Bessis-Moussa-Villani conjecture (aka Stahl’s Theorem) states that the trace of exp(A-tB) is, as a function of the real variable t, the Laplace transform of a positive measure, where A and B are respectively a hermitian and positive semi-definite matrix. The long standing conjecture was recently proved by Stahl and streamlined by Eremenko. We report on a more concise yet self-contained version of the proof.