Rongwei Yang, University at Albany, SUNY

Abstract: Many mathematical and scientific problems concern systems of linear operators \((A_1, ..., A_n)\). Spectral theory is expected to provide a mechanism for studying their properties, just like the case for an individual operator. However, defining a spectrum for non-commuting operator systems has been a difficult task. The challenge stems from an inherent problem in finite dimension: is there an analogue of eigenvalues in several variables? Or equivalently, is there a suitable notion of joint characteristic polynomial for multiple matrices \(A_1, ..., A_n\)? A positive answer to this question seems to have emerged in recent years.

Meeting ID: 91423140315, password 517976.