Lunedi' 11 Luglio alle 17.15, in Aula di Consiglio del Dipartimento di Matematica, Universita' La Sapienza, si terra' il seguente seminario di free probability e combinatoria:
Speaker: Frederic Patras (CNRS, Laboratoire J.A.Dieudonné, Nizza)
Title: Free cumulants and half-shuffles
Abstract: The theory of free probabilities has various origins: among others the theory of solutions of random operator-valued differential equations and the one of random matrices and their asymptotic properties. A notion of (free) cumulant has been introduced in this context which (for plenty of reasons) happens to be the "good" generalization of classical cumulants. Roland Speicher has introduced and studied these cumulants form a combinatorial point of view, using the poset of non-crossing partitions. The talk will survey these results and explain a new approach to these questions (j.w. with K. Ebrahimi-Fard).
Cordiali saluti