Noncommutative harmonic analysis has been developing rapidly in recent years and has attracted considerable attention. It is deeply connected with classical Banach space theory, operator spaces, operator theory, geometric group theory, noncommutative geometry, Boolean analysis, quantum probability, and quantum information, among others, and has found wide-ranging applications across these fields. In this talk, I will present a brief overview of several important applications of noncommutative harmonic analysis. If time permits, I will also introduce my recent work on Schatten class membership of commutators.

강연시간 : 16:40-17:10