### Abstract:

In 1989, Alain Connes showed in his famous trace theorem that the notion of integration on a compact manifold $M$ is preserved in noncommutative geometry using a class of singular traces on pseudo-differential operators of order $-d$ on $L_2(M)$. However, when $M$ is only locally compact, technicalities ensue. In this talk, we discuss how the use of residue theorems can overcome these technicalities. Joint work with D. Potapov, F. Sukochev and D. Zanin.

Speaker

Dominic Vella

Research Area
Affiliation

University of New South Wales

Date

Thu, 06/09/2018 - 12:00pm

Venue

RC-4082, The Red Centre, UNSW