Mathematics and Physics of Integrability (MPI2024)

David Wood

  •  1 Jul 2024 - 19 Jul 2024
     8:00 am - 4:00 pm

Changrim Ahn (Ewha Womans University)
Murray Batchelor (Australia National University)
Anastasia Doikou (Heriot-Watt University)
Patrick Dorey (Durham University)
Paul Pearce (Melbourne University/Queensland University)
Véronique Terras (Paris-Saclay University)

Program Description: 

This research program focusses on the mathematics and physics of integrability in classical/quantum physical systems in 1 and 2 dimensions. Following on from our 2017 MATRIX@Melbourne Research Program, this research program is organised around currently active hot topics and open problems with 50% of the program reserved for group collaboration. The overarching motivation is to muster all the disparate tools pure mathematics has to offer in disciplines such as affine Lie algebras, vertex algebras, planar algebras, quantum algebras and representation theory and apply them to understand, in a deep and precise manner, the behaviour of a diverse range of physical systems arising in disciplines such as classical/quantum statistical mechanics, condensed matter, quantum entanglement/quenches and particle physics. The physical systems of interest include gases and fluids, ferromagnets, ferroelectrics, cold atoms, correlated electron systems, dimers, polymers and percolation among many others.

 Program Topics

  • Integrability, symmetries and quantum algebras
  • Exactly solvable lattice models
  • Bethe ansatz and quantum spin chains
  • Diagram algebras, geometric phase transitions and logarithmic CFT
  • Bulk and boundary CFT, AdS/CFT, QFT and their perturbations
  • Quantum entanglement, quantum quenches and generalised hydrodynamics
  • Cold atoms, strongly correlated systems

Program Structure:

Confirmed International Participants: 
Changrim Ahn^ (Ewha Womans University, Seoul, South Korea)
Anastasia Doikou‡ (Heriot-Watt University, Edinburgh, Scotland)
Patrick Dorey‡ (Durham University, England)
Véronique Terras‡ (Paris-Saclay University, France)

Keynote speakers:
Jesper Jacobsen† (ENS, Paris, France)
Jean Michel Maillet† (ENS, Lyon, France)
Didina Serban* (CEA Saclay, France)
Roberto Tateo† (INFN, Torino University, Italy)

Key Participants:
Francisco Alcaraz‡ (Sao Paulo University, Sao Carlos, Brazil)
Zoltan Bajnok (Wigner Research Centre for Physics, Budapest, Hungary)
Clare Dunning (University of Kent, Kent, England)
Angela Foerster (UFRGS, Porto Alegre, Brazil)
Frank Göhmann (Bergische University, Wuppertal, Germany)
Xiwen Guan (WIPM, Wuhan, China)
Andreas Klümper‡ (Bergische University, Wuppertal, Germany)
Marton Kormos (BUTE, Budapest, Hungary)
Charlotte Kristjansen (Niels Bohr Institute, Denmark)
Atsuo Kuniba^ (Tokyo University, Tokyo, Japan)
Chihiro Matsui^ (Tokyo University, Tokyo, Japan)
Rafael Nepomechie‡ (Miami University, Florida, USA)
Francesco Ravanini (Bologna University, Bologna, Italy)
Ana Retore (Durham University, Durham, England)
Junji Suzuki^ (Shizuoka University, Shizuoka, Japan)
Gabor Takacs (BUTE, Budapest, Hungary)
Wen-Li Yang^ (Northwest University, Xian, China)
Robert Weston (Heriot-Watt University, Edinburgh, Scotland)

Confirmed Australian Participants:
Murray Batchelor (ANU, Canberra, Australia)
Paul Pearce (Melbourne University/UQ, Australia)

Keynote Speakers:
David Ridout† (Melbourne University, Australia)

Key Participants:
Jean-Emile Bourgine (Melbourne University, Australia)
Jan de Gier (Melbourne University, Australia)
Jon Links (UQ, Brisbane, Australia)
Jorgen Rasmussen (UQ, Brisbane, Australia)
Thomas Quella (Melbourne University, Australia)

‡: Simons

  • Deadline: 10 December 2023
  • Registration is by invitation only. If you are interested to participate in this research program, please contact one of the organisers with your CV and research background.
  • Arrival Date: 1 July 2024
  • Departure Date: 19 July 2024

MATRIX Wine and Cheese Afternoon 2 July 2024
On the first Tuesday of each program, MATRIX provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.