MATRIX Research Program: Mathematics and Physics of Integrability

This workshop focusses on the mathematics and physics of integrability in classical and quantum physical systems in 1 and 2 dimensions. Following on from our 2017 AMSI-AustMS-MATRIX@Melbourne Workshop, this workshop 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.

 

This MATRIX Research Program is partially supported by AMSI and and benefits from the SMRI International Visitor Program. 

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

Organisers

• 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)

Registration:

• Registration is now closed
• Arrival date: 1 July 2024
• Departure date: 19 July 2024

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ASSOCIATED EVENTS
MATRIX Wine and Cheese Afternoon 4 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.