Changrim Ahn
Ehwa Womans University

Jordan blocks in Strongly twisted SYM
Abstract: t.b.a.
Hidetoshi Awata
Nagoya University

On the quantum toroidal gl1 algebra and the AGT correspondence
Abstract: We discuss on recent developments of the representation theory of the quantum toroidal gl1 algebra and its
relation with the AGT correspondence.
Pascal Baseilhac
University of Tours

Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
Abstract: The Heun-Askey-Wilson (HAW) operator arises in different context, such as the theory of Leonard pairs, thetheory of special functions related with the q-analog of the Heun operator or the time-band limiting problem in signal
processing. In the ﬁrst part, I will show how the HAW operator can be derived from Sklyanin’s framework in terms of theelements of the Askey-Wilson algebra triple A, A∗ and A⋄ . Using this setup, for different specializations and the genericcase, the HAW operator is diagonalized within the framework of the algebraic Bethe ansatz using the theory of Leonard
pairs. Eigenstates are constructed in the form of Bethe states whose Bethe roots satisfy Bethe ansatz equations of homogeneous or inhomogenous type. In particular, the inhomogeneous term is determined by the characteristic polynomialof A⋄ . For each set of Bethe equations, an alternative presentation is given in terms of ‘symmetrized’ Bethe roots. In asecond part, realizations of the HAW operator as second q-difference operators are introduced. It will be explained how
the TQ-relations are derived from that point of view. In a third part, we will give some examples of integrable models
that are solved using this approach: for instance, various types of three-sites Heisenberg spin chains in a magnetic ﬁeld
with inhomogeneous couplings, three-body and boundary interactions. Work done in collaboration with R. Pimenta (Sao
Carlos and IDP).
Murray Batchelor
Australian National University

Wrestling with free parafermions
Abstract: In this talk I will give an update on our recent calculations on the properties of the free parafermion Z(N) spin
chain. For N = 2 this model reduces to the familiar quantum Ising chain in a transverse ﬁeld described by free fermions.
The more general model was discovered in 1989 by Rodney Baxter. Then not much at all happened until 2014 when Paul
Fendley showed that the eigenvalue structure corresponds to free parafermions. The model has some interesting if not
peculiar properties due to it being non-Hermitian for N > 2.
Vladimir Bazhanov
Australian National University

On the scaling behaviour of an alternating spin chain
Abstract: In this talk I will report the results of the study of a 1D integrable alternating spin chain whose critical behaviour
is governed by a CFT possessing a continuous spectrum of scaling dimensions. I will review both analytical and numericalapproaches to analyzing the spectrum of low energy excitations of the model. It turns out that the computation of thedensity of Bethe states of the continuous theory can be reduced to the calculation of the connection coefﬁcients for acertain class of differential equations whose monodromy properties are similar to those of the conventional conﬂuent
hypergeometric equation. The ﬁnite size corrections to the scaling are also discussed.
Jean-Emile Bourgine
KIAS

New quantum toroidal algebras from supersymmetric gauge theories
Abstract: Quantum afﬁne algebras describe the symmetries of quantum integrable systems, and provide essential tools
to solve them. Recently, a method has been obtained to associate an algebra (the Cohomological Hall algebra) to a quiver1

representation. In many cases, the algebra deﬁned in this way is a deformation of a quantum afﬁne algebra. Exploiting
the coalgebraic structure, an intertwining operator can be derived, and then used to compute various physical quantities
through a diagrammatic technique. In this talk, I will present a concrete realization of this general program, and consider
the quiver representation describing the non-perturbative sector of 4D N=2 super-symmetric gauge theories deﬁned ona particular space-time. This space-time is an orbifold obtained from the action of the Abelian group Z/pZon the Euclidean space C 2 , and the relevant algebra is a deformation of the quantum toroidal gl(p) algebra. Then, two different
representations of this algebra will be constructed, namely a vertex (or level one) representation, and a highest weight representation acting on states parameterized by colored Young diagrams. Finally, the intertwining operator between these
representations will be derived, and used to reconstruct the partition function and the qq-characters of the gauge theory.
Jan de Gier
University of Melbourne

KPZ universality in a two-species exclusion process
Abstract: We discuss a derivation from ﬁrst principles of a joint current probability distribution function in the twospecies Arndt-Heinzel-Rittenberg model. Our result is based on a Bethe ansatz approach for the Green’s function, and an
asymptotic analysis conﬁrms the heuristic prediction of non-linear ﬂuctuation hydrodynamics. This is the ﬁrst rigorous
proof for a Tracy-Widom type distribution function in a multi-species model, and is joint work with Zeying Chen, Iori
Hiki and Tomorhiro Sasamoto.
Patrick Dorey
University of Durham

t.b.aAbstract: t.b.a
Benjamin Doyon
King’s College London

Large deviations in transport and twist ﬁeld correlation functions from hydrodynamics
Abstract: Hydrodynamics is a powerful framework for large-wavelength phenomena in many-body systems. It was
extended recently to include integrable models, giving “generalised hydrodynamics . In this talk, I will ﬁrst review
fundamental aspects of the hydrodynamic of integrable systems. I will then explain how hydrodynamics gives access tothe exact large-time ﬂuctuations in the transport of quantities in one dimension such as particles or energy - their so-calledfull counting statistics. Applied to integrable systems, this generalises the free-fermion Levitov-Lesovik formulae to avery large family of interacting theories. This works in Gibbs and generalised Gibbs ensembles, including in nonequilibrium steady states. Interestingly, I will explain how the same framework gives exact exponential decays of “twist ﬁeld
correlation functions, such as the exponential ﬁeld in the sine-Gordon model.
Fabian Essler
University of Oxford

Quantum mechanical probability distributions in integrable models in and out of equilibrium
Abstract: I consider the quantum mechanical probability distributions of observables deﬁned in large, ﬁnite subsystems
for the spin-1/2 Heisenberg XXZ chain and the transverse ﬁeld Ising model. I ﬁrst review the equilibrium case in thequantum critical regime. I then turn to the time evolution of these quantities after quantum quenches.
Frank Göhmann
University of Wuppertal

Finite temperature dynamical correlation functions of the XX chain
Abstract: A series representation of the dynamical two-point correlation functions of Yang-Baxter integrable quantum
chains involving the form factors of an associated quantum transfer matrix is used to analyse the transverse correlation
function of the XX chain. Starting from the series we obtain new results for the long-time, large-distance asymptotic
behaviour in the spacelike regime and a novel Fredholm determinant representation that allows us to efﬁciently analyse
the model numerically and asymptotically in the high-temperature limit.
Katsushi Ito
Tokyo Institute of Technology

Generalized ODE/IM correspondence2

Abstract: We derive TBA systems govering the exact WKB periods in 1-dimensional quantum mechanics with arbitrary
polinomial potentials. The TBA systems provide a generalization of the ODE/IM correspondence proposed by Dorey and
Tateo in 1999. It also gives the solution of a analytic bootstrap program of resurgent quantum mechanics formulated by
Voros. This talk is based on the joint work with Marcos Marino and Hongfei Shu (arXiv:1811.04812[hep-th]).
Michio Jimbo
Rikkyo University

Remarks on deformed W algebras and integrals of motion
Abstract: We revisit the deformed W algebras introduced by Frenkel and Reshetikhin in 1997. Using a certain comodule
algebra over the quantum toroidal gl(1) algebra, we construct a large class of deformed W algebras (slightly different fromthose of FR), and commuting family of operators thereof. (Joint work with B. Feigin, E. Mukhin and I. Vilkovisky.)Ivan Kostov
SaclayQuantum Field Theory for the Thermodynamic Bethe Ansatz
Abstract: On this talk I formulate an effective QFT in the rapidity space, involving a pair of bosons and fermions, which
computes the ﬁnite-size effects in 1+1 dimensional models of factorised scattering. The perturbative expansion of the path
integral for this effective QFT matches the recently obtained graph expansions for the free energy in TBA. The theory is
one-loop exact and the path integral localizes to the critical point of the action, which is determined by the TBA equation.
For simplicity, I consider a scattering matrix for a single neutral particle and no bound states, as the one for the sinhGordon model. Both periodic and open boundary conditions are considered. In case of periodic boundary conditions,the loop effects due to bosons and fermions compensate completely while for open boundary conditions the one-loop
contribution gives the universal part of the boundary free energy.
Andreas Klümper
University of Wuppertal

Exact solution of the spin 12 XXX chain with off-diagonal boundary ﬁelds
Abstract: The spin-1/2 Heisenberg chain with periodic boundary conditions is a seminal model of integrable resp. exactly
solvable systems. It is known that the Heisenberg chain with arbitrary boundary ﬁelds is still integrable, but so far deﬁed
an explicit solution for the case of off-diagonal ﬁelds which break the U (1) symmetry. As the magnetization is no longera good quantum number, the direct application of the Bethe ansatz fails.
Here we show how the problem can be solved by a set of non-linear integral equations (NLIEs). Instead of two NLIEs
as in the case of the periodically closed chain, we ﬁnd a set of three NLIEs from which the eigenvalues of the Hamiltonian
can be obtained.
Jules Lamers
University of Melbourne

The q-deformed Haldane-Shastry spin chain: from the afﬁne Hecke algebra, via ’freezing’, toexact eigenvectors
Abstract: The Haldane-Shastry model is an exactly-solvable long-range spin chain whose remarkable properties include
Yangian symmetry already at ﬁnite system size. Its q-deformation was found by D. Uglov in ’95 in an e-print that seems tohave gone by unnoticed. We give a direct derivation, starting from the afﬁne Hecke algebra via ’freezing’, of the pairwise
form of the ’chiral’ Hamiltonian obtained by one of us. We further obtain its ’antichiral’ and ’full’ counterparts, thelatter of which has real spectrum also for the root of unity case. Our main new result is an exact closed-form expression
for the (highest-weight) eigen-vectors at ﬁnite size. It has a simple component that involves the symmetric square of
the q-Vandermonde times a Macdonald polynomial (q-deformed zonal polynomial). This is ongoing work together withVincent Pasquier and Didina Serban.
Pierre Le Dousaal
ENS, Paris

Large deviations for the KPZ equation and the edge of random matrices
Abstract: Using the exact results valid at all time for the KPZ equation for various initial conditions, we show how to
obtain the tails of the one point distribution of the height. We identify the large deviation regimes at short time and at largetime, and calculate the rate functions. The results agree very well with numerical simulations. We explain and exploit theconnections of the problem with the eigenvalues of random matrices at the edge of the spectrum, which leads to study the3

problem of a 1D Coulomb gas perturbed at its edge.
Andrei Mironov
ITEP

CFT, Painleve and matrix models
Abstract: The modern version of conformal matrix model describes conformal blocks in the Dijkgraaf-Vafa phase.
Therefore it possesses a determinant representation and becomes a Toda chain tau-function only after a peculiar Fouriertransform in internal dimensions. In this case, the Hirota equations arise in a peculiar discrete form (when the couplings
are actually Miwa time-variables). Instead, this integrability property is actually independent on the measure in theoriginal hypergeometric integral. To get hypergeometric functions, one needs to pick up a very special tau-function
satisfying an additional "string equation". Usually, its role is played by the lowest Virasoro constraint, but, in the Miwa
variables, it turns into a ﬁnite-difference equation w.r.t. the Miwa variables. One can get rid of these differences by
rewriting the string equation in terms of some double ratios of the shifted τ-functions, and then these ratios satisfy moresophisticated equations equivalent to the discrete Painleve equations by M. Jimbo and H. Sakai (q-PVI equation). Theylook much simpler in the q-deformed ("5d") matrix model, while in the "continuous" limit q->1 to 4d one should consider
the Miwa variables with non-unit multiplicities, what ﬁnally converts the simple discrete Painleve q-PVI into sophisticateddifferential Painleve VI equations.
Sanefumi Moriyama
Osaka City University

Hanany-Witten Transition in Quantum Curves
Abstract: It was known that the U (N )4 super Chern-Simons matrix model describing the worldvolume theory of D3branes with two NS5-branes and two (1,k)5-branes in IIB brane conﬁguration (dual to M2-branes after taking the T-duality
and the M-theory lift) corresponds to the D5 quantum curve. By combining both the viewpoints of the brane conﬁgurations
and the quantum curves, we obtain a larger picture for supersymmetric M2-branes. In clarifying the M2-brane physics it
is important to cut the compact T-duality circle (or the circular quiver diagram) open, which is similar to the concept of"ﬁxing a reference frame" or "ﬁxing a local chart". In my talk I will explain these recent ideas on the M2-brane physics.
Hisayoshi Muraki
Sogang University

From minimal gravity to intersection theory
Abstract: We investigate the relation between the two-dimensional minimal gravity on a surface with boundaries and theopen intersection theory in arXiv:1904.06885. It is noted that the gravity is described in terms of the boundary cosmological constant while the open intersection theory is in terms of the boundary marked point generating parameter. Basedon the idea that the two different descriptions are related by the Laplace transform (arXiv:1808.07304), we reproduce
the known results in the open intersection theory from the minimal gravity, and provide a compact expression for thegenerating function on a disk.
Takeshi Oota
Osaka City University

Unitary matrix model, supersymmetric gauge theory, and Painleve system
Abstract: There is a close connection between certain types of matrix models and supersymmetric gauge theories. In thecase of N=2 supersymmetric SU(2) Nf = 2 gauge theory (in the self-dual omega background), a generating function of
the instanton partition functions is described by a unitary matrix model. The unitary matrix model is an extension of theGross-Witten-Wadia model by a logarithmic potential. Its partition function is a tau-function of the Painleve III’ equation.
The double scaling limit of this matrix model corresponds to the limit to the Argyres-Douglas conformal ﬁxed point of
the gauge theory.
(References: 1805.05057 [hep-th], 1812.00811 [hep-th])Vincent Pasquier
SaclayQ matrix and Bäcklund for quantizing integrable models
Abstract: I shall review the method of Q matrix to quantize lattice models as an alternative to the Algebraic Bethe
Ansatz. This method is the only available for the Toda chain, Ablowits Ladik chain etc... The Q matrix is a sort ofquantized version of the Bäcklund transform. One possibility to make further progres is to introduce a nonlinear integral

4equation which in ﬁrst approximation coincides with the assymptotic Bethe Ansatz of Sutherland. I will discuss some
difﬁculties and I hope some applications.
Paul Pearce
University of Melbourne

Extended T -Systems, Q Matrices and T -Q Relations for sℓ(2) Models at Roots of Unity
Abstract: The mutually commuting 1 × n fused single-row transfer matrices T n (u) of the critical six-vertex model are′considered at roots of unity q = eiλ with crossing parameter λ = (p −p)πa rational fraction of π. For diagonal twistedp′boundary conditions, we ﬁnd explicit closure relations for the T -system functional equations and obtain extended sets ofbilinear T -system identities. We also deﬁne extended Q matrices as linear combinations of the fused transfer matrices
and obtain extended matrix T -Q relations. Using our extended T -system and extended T -Q relations for eigenvalues,
we deduce the usual scalar Baxter T -Q relation and the Bazhanov-Lukyanov-Zamolodchikov decomposition of the fusedtransfer matrix T p−1 (u + λ) in terms of the product Q+ (u)Q− (u) or Q(u)2 . It follows that the zeros of T p−1 (u + λ)are comprised of the Bethe roots and complete p′ strings. We also clarify the formal observations of Pronko and YangNepomechie-Zhang and establish, under favourable conditions, the existence of an inﬁnite fusion limit n → ∞ in theauxiliary space of the fused transfer matrices. Similar results hold for Uq (sℓ(2)) invariant and off-diagonal vacuum
boundary conditions on the strip.
Leonid Petrov
University of Virginia

Mapping TASEP back in time
Abstract: We obtain a new relation between the distributions µt at different times t ≥ 0 of the continuous-time
TASEP (Totally Asymmetric Simple Exclusion Process) started from the step initial conﬁguration. Namely, we present a
continuous-time Markov process with local interactions and particle-dependent rates which maps the TASEP distributionsµt backwards in time. Under the backwards process, particles jump to the left, and the dynamics can be viewed as a version of the discrete-space Hammersley process. Combined with the forward TASEP evolution, this leads to a stationary
Markov dynamics preserving µt which in turn brings new identities for expectations with respect to µt . Based on a joint
work with Axel Saenz.
Tomaz Prosen
University of Ljubljana

The Rule 54: Completely Solvable Statistical Mechanics Model of Deterministic Interacting
Dynamics
Abstract:
Derivation of macroscopic statistical laws, such as Fourier’s, Ohm’s or Fick’s laws, from reversible microscopic equations of motion is one of the central fundamental problems of statistical physics. In recent years we have witnessed aremarkable progress in understanding the dynamics and nonequilibrium statistical physics of integrable systems. Thisencourages us to attempt to understand the aforementioned connection at least in speciﬁc classes of nontrivial integrable
systems with strong interactions. In my talk I will introduce a family of reversible cellular automata, which model systems of interacting particles, and for which we can prove the existence of diffusion and exactly solve several interesting
paradigms of statistical physics, e.g.: nonequilibrium steady states of the system between two stochastic reservoirs, theproblem of relaxation to the nonequilibrium steady state, or even the problem of explicit time evolution of macroscopic
states, for instance, the solution of inhomogeneous quench problems and the calculation of dynamical structure factor inhighly entropic equilibrium states.
Francesco Ravanini
University of Bologna

On the Generalized Hydrodynamics of Unstable Excitations
Abstract: We apply the theory of Generalized Hydrodynamics (GHD) to the study of an integrable quantum ﬁeld theory
that possesses both stable and unstable particles, namely to a Homogeneous Sine-Gordon (HSG) model. Explicit TBA
calculations are done in the case of the SU (3)2 HSG, in the partition protocol setup. Features of the stationary currents
in this framework are investigated.
Didina Serban
SaclayExact results for the simplest four-point function in N=4 SYM
5Abstract:
In the last two decades integrability has found an unexpected application to describe the planar limit of conformal,
higher dimensional gauge theories. The most outstanding example is that of the supersymmetric N = △ gauge theory
in four dimensions, known to be dual to string theory on AdS 5 × S5 background. In this talk, I will explain how thecomputation of a particularly simple example of the correlation function of four gauge-invariant operators can be done byusing a geometrical decomposition in terms of non-local form factors.
Junichi Shiraishi
Univeristy of Tokyo

Afﬁne Screening Operators, Afﬁne Laumon Spaces, and Conjectures Concerning Non-Stationary
Ruijsenaars Functions
Abstract:
Based on the screened vertex operators associated with the afﬁne screening operators, we introduce the formal powerbseries f glN (x, p|s, κ|q, t) which we call the non-stationary Ruijsenaars function. We identify it with the generating function for the Euler characteristics of the afﬁne Laumon spaces. When the parameters s and κ are suitably chosen, the limitbb N multiplied by 1/(pN ; pN )∞t rightarrowq of f glN (x, p|s, κ|q, q/t) gives us the dominant integrable characters of slbb character). Several conjectures are presented for f glN (x, p|s, κ|q, t), including the bispectral and the Poincaré(i.e. the gl
1bdualities, and the evaluation formula. The main conjecture asserts that (i) one can normalize f glN (x, p|s, κ|q, t) in such ab
way that the limit κ → 1 exists, and (ii) the limit f st. glN (x, p|s|q, t) gives us the eigenfunction of the elliptic Ruijsenaarsboperator. The non-stationary afﬁne q-difference Toda operator T glN (κ) is introduced, which comes as an outcome ofthe study of the Poincaré duality conjecture in the afﬁne Toda limit t → 0. The main conjecture is examined also in thelimiting cases of the afﬁne q-difference Toda (t → 0), and the elliptic Calogero-Sutherland (q, t → 1) equations.
Naoto Shiraishi
Gakushuin University

Proof of absence of local conserved quantity in S= 12 XYZ chain with a magnetic ﬁeld
Abstract: The integrable system is one of the most important subjects in mathematical physics, and various models havebeen revealed to be integrable. Integrable systems possess sufﬁciently many local conserved quantities, which lies behindthe solvability of integrable systems.
Although vast literature is devoted to integrability, very few studies have addressed non-integrability of concrete models.
Here, we used the word non-integrable in the sense that the model has no local conserved quantity. The absence of local
conserved quantities is necessary for thermalization and mixing, which is relevant to broad research ﬁelds from theapplication of the Kubo formula [1] to the scrambling in a black hole [2]. In spite of this necessity, the non-integrabilityof a certain model is usually not proven but only expected, and very few theoretical works have tackled to prove it. In
fact, a rigorous proof of non-integrability in a concrete model has been completely elusive.
To break this impasse, in this presentation, we rigorously prove that a particular quantum many-body system, thespin-1/2 XYZ chain with a magnetic ﬁeld, is indeed non-integrable in the sense that this system has no nontrivial local
conserved quantity [3]. The proof of non-integrability exploits a bottom-up approach: We ﬁrst list up all the candidates of
local conserved quantities, and then prove that all of them cannot be conserved. Any nontrivial conserved quantity in thismodel turns out to be a sum of operators supported by at least half of the entire system. Our approach can apply to other
S=1/2 systems including the Heisenberg model with the next nearest-neighbor interaction.
[1] A. Shimizu and K. Fujikura, J. Stat. Mech. 024004 (2017). [2] S. H. Shenker and D. Stanford, J. High Energ. Phys.
2014:67 (2014). [3] N. Shiraishi, arXiv:1803.02637
Jean-Marie Stéphan
University of Lyon 1

free fermions at the edge of interacting systems
Abstract:
The Tracy-Widom (T-W) law governs the ﬂuctuations of the largest eigenvalue of a random hermitian matrix. Its
appearance is not limited to random matrix theory: since its discovery, it has been found to describe, after non trivial
rescaling, the edge behavior of out of equilibrium classical exclusion processes such as ASEP, quantum out of equilibrium
problems, or ’arctic circle’ type setups in equilibrium statistical mechanics. This distribution can be understood –froma physicist perspective– using a simple 1d free fermions model in a linear potential. In this talk I will discuss a few
examples of interacting quantum systems with inhomogeneous couplings were T-W naturally appears in the ground state,
and give a simple argument why this occurs. In the case of Lieb-Liniger models in trapping potentials or XXZ spin chain
in varying magnetic ﬁeld, Bethe Ansatz considerations allow us to compute the appropriate rescaling exactly. I will also
discuss interacting quantum out of equilibrium setups where T-W scaling can break down, leading to more complicated6edge universality classes.
Roberto Tateo
University of Turin

Irrelevant perturbations of 2D integrable models
Abstract: Two-dimensional quantum ﬁeld theories deformed by Zamolodchikov’s TTbar operator have recently attracted
the attention of theoretical physicists due to the many important links with string theory and AdS/CFT. The introductionof this perturbation induces coupling between the stress-energy tensor and spacetime and the resulting models can beinterpreted as the undeformed theories coupled to topological Jackiw-Teitelboim gravity.
In this talk, I will argue that there exist inﬁnite families of generalised gravity-type models corresponding to speciﬁc
irrelevant deformations of integrable quantum ﬁeld theories. In these models, the geometry couples instead to generic
combinations of the local conserved currents, labelled by the Lorentz spin. These natural generalisations of the TTbar
perturbation are, in spirit, similar to the JTbar model as the associated scattering phase factors explicitly break Lorentz
symmetry.
Dinh-Long Vu
SaclayFrom the product of conserved charges to counting statistics of currents in GHD: a diagrammatic
approach
Abstract: I propose a diagrammatic formulation to compute the expectation value of the products of con- served charges
in Generalized Gibbs Ensemble (GGE). The diagrams are similar in appearance to tree Feynman diagrams. The weightof their vertices and propagators are readily obtained from Thermodynamic Bethe Ansatz (TBA). The main idea of thisapproach follows the same line of recent works [1?3], namely to derive thermodynamic quantities directly from theirmatrix elements and form factors. I also conjecture that the counting statistics of transport currents in Generalized Hydrodynamics (GHD) admit a similar diagrammatic expansion, with only minor modiﬁcations. I show that this conjecture
is in agreement with the result of [4?6] (obtained by hydrodynamic projection) up to the fourth cumulant.
[1] Ivan Kostov, Didina Serban, and Dinh-Long Vu. TBA and tree expansion. Springer Proc. Math. Stat., 255:77?98,2017. [2] Ivan Kostov, Didina Serban, and Dinh-Long Vu. Boundary TBA, trees and loops. 2018. [3] Dinh-Long Vu and
Takato Yoshimura. Equations of state in generalized hydrodynamics. SciPost Phys., 6:23, 2019. [4] Benjamin Doyon andHerbert Spohn. Drude Weight for the Lieb-Liniger Bose Gas. SciPost Phys., 3:039, 2017. [5] Jason Myers, M. J. Bhaseen,
Rosemary J. Harris, and Benjamin Doyon. Transport ﬂuctu- ations in integrable models out of equilibrium. arXiv e-prints,
page arXiv:1812.02082, Dec 2018. [6] Benjamin Doyon and Jason Myers. Fluctuations in ballistic transport from Euler
hydrody- namics. 2019.
Micheal Wheeler
University of Melbourne

Coloured vertex models and non-symmetric Macdonald polynomials
Abstract: In recent years, the higher-spin six-vertex model has seen a very rich interaction with one-dimensional stochastic processes and the theory of symmetric functions. This talk will be about some recent works in collaboration with A.
Borodin, which extend the above topics to the setting of higher-rank algebras
Masahito Yamazaki
IPMU

Four-Dimensional Origin of Integrability
Abstract: It has been a long-standing problem to explain the origin of spectral parameters of integrable models in a suitable modiﬁcation of the three-dimensional Chern-Simons theory. Recently it has been found that the answer is provided
by a four-dimensional analogue of the Chern-Simons theory, and this has lead to a number of new results and insights,
both in integrable lattice models and two-dimensional integrable ﬁeld theories. In this talk I will give an overview of these
fascinating developments, based on my papers with Kevin Costello and Edward Witten.

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