### Abstract:

In 1994 Alain Connes introduced a quantised" calculus, based on operator theoretic expressions which play roles analogous to derivatives and differentials in ordinary calculus. Quantised calculus in one variable relies on results of V. V. Peller from the 1980s about operator ideal membership of commutators of multiplication operators with the Hilbert transform. I will discuss the proofs Peller's results.

Speaker

Edward McDonald

Research Area
Affiliation

UNSW

Date

Tue, 28/04/2015 - 2:00pm

Venue

RC-4082, The Red Centre, UNSW