What is a non-commutative function, and what is it good for? (John McCarthy, Washington University in St. Louis)

Orateur :  John McCarthy (Washington University in St. Louis)

Lieu : M3 - Amphithéâtre Turing

Café : à 11h en salle de convivialté du M3

Titre : What is a non-commutative function, and what is it good for?

Résumé : 

A non-commutative holomorphic function is, in a similar way, a generalization of a non-commutative polynomial, i.e., a polynomial like 2 x^{^2} y - 3 xyx. They occur naturally when one wishes to do functional calculus with matrices. In this talk I will explain their history, starting with J.L. Taylor in the 1970's, why they have suddenly taken off in the last decade, and how they are connected to other areas of mathematics.