Speaker: **Tomohiro Hayase** (Univ. Tokyo)

Title: Strong Tools in Free Probability Theory

Time/Date: 4:45-6:15pm, Wednesday, October 31, 2018.

Room: 126

Abstract: Free probability theory is a developing research field not only in operator algebras but also in the applied area, such as signal propagation, quantum information, and machine learning. A strong point of free probability theory is that it provides strong tools to understand/calculate spectrum of polynomials of non-commutative operators. In this seminar, we introduce how to use these tools for non-specialists. key words: Free Probability Theory, Random Matrix, R-transform, Linearization Trick.