Noncommutative Calculus and the Spectral Action

Date: 

Monday, 5 August 2019 - 9:00am to Friday, 9 August 2019 - 5:00pm

Venue: 

Room 4082, Red Centre Building, Kensington Campus, UNSW Sydney


The purpose of this workshop is to link mathematicians working in operator theory and noncommutative calculus with mathematical physicists in the area of the spectral action principle.

The Spectral Action is a new and high profile theory that unites quantum and classical action principles in a mathematically elegant construction. Professor Walter van Suijlekom (the Institute for Mathematics, Astrophysics and Particle Physics of the Radboud University Nijmegen) will give a mini-lecture series on the spectral actions during the mornings of the workshop. Talks on the spectral action will be given by other international experts, including Professor Giovanni Landi and Professor Bruno Iochum. Specific mathematical topics are trace class aysmptotic expansions, noncommutative Taylor series expansions, Dixmier trace and higher order residues.

Programme

Morning lecture series by Professor van Suijlekom. Afternoon talks by international and domestic experts. There is substantial time in the programme for questions and discussion about research directions amongst participants.

List of Speakers and International Guests

Walter van Suijlekom (IMAP, Radboud)

Giovanni Landi (Trieste)

Bruno Iochum (CNRS & AMU)

Ken Dykema (Texas A&M)

Raphaël Ponge (Sichuan)

Yang Liu (Max Planck Institute)

Xiao Xiong (Harbin Institute Tech)

Teun van Nuland (IMAP, Radboud)

Raphael Ponge (Sichuan University)

Chian Yeong Chuah (Baylor)

Aleksandr Usachev (Chalmers)

Fedor Sukochev (UNSW)

Dimitry Zanin (UNSW)

Galina Levitina (ANU)

Guo Chuan Thiang (Adelaide)

Steven Lord (UNSW)

Organisation

Organised as part of Professor Fedor Sukochev’s 2017 Laureate Fellowship by Prof Fedor Sukochev, Dr Steven Lord, Dr Dimity Zanin and Dr Galina Levitina.