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The Characteristic Polynomial of Several Matrices by Prof. Rongwei Yang, University at Albany

Fri, April 14th, 2023
1:00 pm
- 1:45 pm

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The Characteristic Polynomial of Several Matrices by Prof. Rongwei Yang, University at Albany, Mathematics Faculty Seminar, Friday, April 14, 1 – 1:45 pm, North Science Building 015, Wachenheim.

Abstract:  The characteristic polynomial is an important topic in matrix theory, and it has a wide range of applications.  Is there a proper notion of the characteristic polynomial for a tuple of several matrices?  This seemly natural question is highly nontrivial, even for 2×2 matrices.  The projective spectrum for linear operators was introduced in 2009, and it seems to have provided a satisfactory answer to the question.  In this talk we will present the definition and review its applications to Lie algebras and group theory.  Half of the talk is accessible to undergraduate students.

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