Integrability and Combinatorics at Finite Temperature
This is the official webpage for the 2-week MATRIX Institute extended program Integrability and Combinatorics at Finite Temperature 2021 originally planned for June 2020 but then postponed due to the Covid-19 pandemic.
The two-week long conference will be held partly online via Zoom (first week), partly hybrid in-person / online (second week) if local restrictions permit.
Dates: June 7---18 2021
Zoom links: Communicated to registered participants in advance via email
Format: The conference will consist of a series of mini-courses (with exercise sessions) given by:
- Vadim Gorin (University of Wisonsin at Madison, USA)
Abstract: In random matrix theory the role of the inverse temperature is played by the parameter beta, which takes values 1/2/4 when we deal with real/complex/quaternionic matrices. In this course we explain how one can take beta to be an arbitrary positive real and what does it mean to add, multiply, or cut corners from general beta random matrices. Both low temperature and high temperature asymptotics will be discussed and will lead to intriguing limiting objects.
- Jérémie Bouttier and Grégory Schehr (CEA and ENS de Lyon, and LPTHE Sorbonne Université, France)
Title: Some aspects of noninteracting trapped fermions at finite temperature
Abstract: Noninteracting fermions in a 1D confining potential form arguably one of the simplest models in many-body quantum statistical physics. In this mini-course, we will review some of the methods used to study them, with an emphasis on their edge fluctuations at finite temperature.
- Michael Wheeler (University of Melbourne, Australia)
Abstract: Stochastic vertex models in the quadrant have been very topical in integrable probability in the last decade, with a host of reductions to one-dimensional particle processes. In this course we examine the combinatorial implications of placing these models on a cylinder. Connections to (non)symmetric Macdonald theory and LLT polynomials will be discussed, as well as the difficult problem of expanding one family of symmetric functions in terms of another.
and a series of contributed talks by:
- Valentin Buciumaș (University of Alberta)
- Evgeni Dimitrov (Columbia University)
- Alexandr Garbali (University of Melbourne)
- Andrew Gitlin (University of California at Berkeley)
- Weiying Guo (University of Melbourne)
- Alisa Knizel (University of Chicago)
- Alexandre Krajenbrink (SISSA)
- William Mead (University of Melbourne)
- Alejandro Morales (University of Massachusetts Amherst)
- Matteo Mucciconi (Tokyo Institute of Technology)
- GaYee Park (University of Massachusetts Amherst)
- Marianna Russkikh (MIT)
- Travis Scrimshaw (University of Queensland)
- Sofia Tarricone (Université d'Angers and Concordia University)
- Harriet Walsh (ENS de Lyon)
- Nikos Zygouras (University of Warwick)