Operator Theory Seminar

Speaker: 
Paul Muhly
Topic: 
Theory from Tensor Algebra

Abstract: 

In these talks, which are based on long collaborations with Baruch Solel, I will discuss how to view certain tensor algebras as algebras of noncommutative analytic functions.  In a sense that I will make precise, tensor algebras are noncommutative analogues of polynomial algebras, and the function theory I will describe is a noncommutative analogue of the theory of polynomial and analytic functions that one studies in basic analysis courses, such as MATH 5210.  The fundamental principle underlying what I will discuss is the observation that every ring may profitably be analyzed as a ring of functions defined on its space of representations (i.e. its modules).  In contemporary algebro-geometric language, every ring may be realized as an affine scheme.  

Event Date: 
September 6, 2022 - 1:30pm to 2:20pm
Location: 
VAN 309 or Online (See URL)
Calendar Category: 
Seminar
Seminar Category: 
Operator Theory