Participants

Attendees of the meeting are listed below. For attendees giving a talk, click on their talk title to see the abstract.

Name Talk title (if applicable)
Nezhla Aghaei

Chern-Simons theories with gauge supergroups appear naturally in string theory and they possess interesting applications in mathematics, e.g. for the construction of knot and link invariants. In this talk we explain the combinatorial quantisation of Chern-Simons theories and also the GL(1|1) generalisation of it, for punctured Riemann surfaces of arbitrary genus. We construct the algebra of observables, and study their representations and applications to the construction of 3-manifold invariants. This work has also an application to Topological Phases of Matter.

John Baez (virtual)

The importance of the tenfold way in physics was only recognized in this century. Simply put, it implies that there are ten fundamentally different kinds of matter. But it goes back to 1964, when the topologist C. T. C. Wall classified the associative real super division algebras and found ten of them. The three “purely even” examples were already familiar: the real numbers, complex numbers and quaternions. The rest become important when we classify representations of groups or supergroups on Z/2-graded vector spaces. We explain this classification, its connection to Clifford algebras, and some of its implications.

Rinat Kashaev

The quantum dilogarithm is a special function of two variables that finds various applications in quantum theory. Although a special case of that function
was introduced already in 1886 by Hölder, its deep connections to the quantum world were revealed only in the early 1990’s after the discovery of the quantum five term identity by Ludwig Faddeev. I will review its properties and applications in spectral theory, quantum integrable systems, and quantum topology.

Jeong-Hyuck Park

What is the gravity that string theory predicts? While the conventional answer is General Relativity, this talk will introduce Double Field Theory as an alternative. The theory gravitises the whole closed string massless sector, possesses its own Einstein equation, and describes not only Riemannian geometry but also various non-Riemannian ones where some known (Riemannian) curvature singularities are to be identified as regular non-Riemannian backgrounds.

 

Milena Radnovic

We present classical and new results inspired by XIX century works of Jean-Victor Poncelet. Different streams of his work have been recently connected in the study of resonance of ellipsoidal billiards.

Remy Adderton
Alhanouf Almutairi
Michael Assis
Murray Batchelor
Rodney Baxter
Nicholas Beaton
Lachlan Bennett
Jean-Emile Bourgine
Peter Bouwknegt
Tony Bracken
Eve Cheng
Nathan Clisby
Catherine Colbert
Jaklyn Crilly
Jan de Gier
Chris Djelovic
Norman Do
Allan Ernest
Justine Fasquel
Zachary Fehily
Ethan Fursman
Alexandr Garbali
Tim Garoni
Gregory Gold
Pinhas Grossman
Tony Guttmann
Lucas Hackl

In this talk, I will discuss the statistical properties of the entanglement entropy, which serves as a natural measure of quantum correlations between a subsystem and its complement. Entanglement is a defining feature of quantum theory and understanding its statistical properties has applications in many areas of physics.

First, I will introduce the class of physical models and explain its relevance for practical applications. Second, I will explain how the statistical ensemble of quantum states can naturally be described through the methods of random matrix theory. Third and finally, I will discuss a number of new results describing the typical properties (e.g., average, variance) of the entanglement entropy for various ensembles of quantum states (general vs. Gaussian, arbitrary vs. fixed particle number). See PRX Quantum 3, 030201 for further details.

Bolin Han
Daniel Hutchings
Jessica Hutomo
Phillip Isaac
Vladimir Jakovljevic
Peter Jarvis
Mitchell Jones
Andrew Kels
Mario Kieburg
Johanna Knapp
Nowar Koning
Jonathan Kress
Sergei Kuzenko
Jon Links
Xilin Lu
Vladimir Mangazeev
Ian Marquette
Daniel Mathews
William Mead
Paul Norbury
Jeremy Nugent
Jordan Orchard
Aleks Owczarek
Anthony Parr
Michael Ponds
Robert Pryor
Cheng Kevin Qu
Thomas Quella
Reinout Quispel
Emmanouil Raptakis
Christopher Raymond
David Ridout
Pieter Roffelsen
Yang Shi
Liam Smith
Yury Stepanyants
Martin Sticka
Benjamin Stone
Gabriele Tartaglino-Mazzucchelli
James Tener
Kai Turner
Willem van Tonder
Luc Vinet

The entanglement of free Fermions on graphs of the Hamming and Johnson schemes will be discussed. A parallel with time and band limiting problems will be made. The role of the Terwilliger algebra in the identification of a Heun type operator commuting with the truncated correlation matrix and the access it gives to the entanglement entropy will be explained.

Ben Wootton
Junze Zhang
Yao-zhong Zhang
Zongzheng Zhou