Mathematical Harmony and the Quantum World
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Mathematical Harmony and the Quantum World
Practical information
The conference will take place in Salle Dussane at the Ecole Normale Supérieure (45 rue d'Ulm, 75005 Paris). The Salle Dussane is room number 9 on this map of the ground floor of 45 rue d'Ulm. The easiest way to get in would be through the corner entry at La Rotonde (room 6), but for security reasons we are not sure if this entry will be open. Alternatively get in from rue d'Ulm via the Accueil (room 3), then enter the main building at the stairs (arrow between 7 and 8), turn left and walk to the end of the aile (dark gray), and finally access Salle Dussane (room 9) from the aile (between 9 and 16).
We can arrange for the accommodation of speakers. Please reply to the email that you have received from the conference secretary.
Timetable
Time 
Thursday 14 Oct 
Time 
Friday 15 Oct 
Time 
Saturday 16 Oct 
9:209:40 
J.B. Zuber 
9:209:40 
B. Doyon 
9:209:40 
L. Cantini 
9:4510:15 
G. Felder 
9:4510:15 
M. Bauer 
9:4510:15 
F. Smirnov 
10:2010:50 
A. Kupiainen 
10:2010:50 
B. Derrida 
10:2010:50 
P. Di Francesco 
10:5511:15 
Coffee break 
10:5511:15 
Coffee break 
10:5511:15 
Coffee break 
11:1511:35 
V. Pasquier 
11:1511:35 
L. Cugliandolo 
11:1511:35 
O. CastroAlvaredo 
11:4012:05 
A. Cappelli 
11:4012:05 
V. Vargas 
11:4012:05 
J. De Nardis 
12:1012:30 
T. Jin 
12:1012:30 
A. Tilloy 
12:1012:30 
A. De Luca 
12:3514:00 
Lunch 
12:3514:00 
Lunch 
12:3513:05 
A. LeClair 
14:0014:20 
R. Rhodes 
14:0014:20 
T. Benoist 
14:0023:59 
Discussion time 
14:2514:45 
J. Viti 
14:2514:45 
H. Orland 


14:5015:10 
G. Sierra 
14:5015:20 
G. Falkovich 


15:1515:35 
P. Le Doussal 
15:2515:55 
J. ThierryMieg 


15:4016:00 
Coffee break 
16:0016:30 
P. Wiegmann 


16:0516:25 
S. Majumdar 
16:3516:55 
Coffee break 


16:3016:50 
K. Kytölä 
17:0017:30 
Surprise 


16:5517:15 
H. Saleur 






20:0023:59 
Banquet dinner 


Topic: Mathematical Harmony and the Quantum World
Meeting ID: 845 8252 5861
Passcode: Br0TZr
Titles and abstracts
Michel Bauer: A quantum \(0\infty\) alternative
We present a quantum recreational mathematics result related to a classical puzzle. If time permits, we'll explain the (distant) original physical motivations.
Tristan Benoist: Purification and stationary distrubution(s) of states for quantum trajectories
Quantum trajectories are random evolutions describing quantum system subject to repeated indirect measurements. I will present the relationship between purification of the trajectory state and the stationary distribution(s) of states for these dynamics.
Andrea Cappelli: Fermions from elsewhere
Topological phases of matter possess both fermionic and bosonic descriptions.
As such, they provide insights on bosonization in any dimension. I discuss
how relativistic fermions in \((2+1)\) dimensions can be expressed in terms of
gauge fields.
Olalla CastroAlvaredo: Twist fields and entanglement
In this short talk I will give an overview of how different types of symmetry fields or twist fields emerge in the context of entanglement measures.
Leticia Cugliandolo: Two dimensional melting of passive and active matter
Longrange translational order is forbidden in low dimensional systems
with shortrange interactions: solid phases only have quasi longrange
translational order. A mechanism for the transition from solid to liquid
led by the dissociation of dislocation pairs was proposed by Kosterlitz &
Thouless in their 1972 & 1973 Nobel prize papers. Knowing that longrange
orientational order is possible in two dimensions, Nelson, Halperin and
Young argued that the transition actually occurs in two steps, the second
one being triggered by the unbinding of disclinations. In this picture
the intermediate phase keeps quasi longrange orientational order, and the
two transitions are of infinite order. Based on simulations of hard disks
performed with advanced numerical methods, the latter picture was recently
questioned. In this talk I will review the current understanding of
melting in two dimensions and I will extend its analysis to systems made
of selfpropelled particles, the constituents of active matter, a new kind
of soft matter relevant to describe numerous biological problems.
Bernard Derrida: Large deviation functions of the density and of the current for diffusive systems
After a short review of the different approaches used to determine the large deviation functions of diffusive systems in their steady state,
the talk will present a few recent results:
1. How these large deviations functions are modified by weak contacts with the boundaries
2. What is the influence of conditioning these large deviation functions on the current
Derrida, Hirschberg, Sadhu, (2021). Large deviations in the symmetric simple exclusion process with slow boundaries. Journal of Statistical Physics, 182, 113.
Derrida, Sadhu, (2019). Large deviations conditioned on large deviations I: Markov chain and Langevin equation. Journal of Statistical Physics, 176, 773805.
Derrida, Sadhu, (2019). Large deviations conditioned on large deviations II: fluctuating hydrodynamics. Journal of Statistical Physics, 177, 151182.
Philippe Di Francesco: Dualities in Macdonald/Toda theory and quantum \(Q\)systems
We show how one can use dualities in the theory of Macdonald operators
and polynomials to prove the MacdonaldCluster algebra conjecture, stating
that for almost all (affine, twisted) types, Macdonald operators at infinite
t are cluster variables in the quantum cluster algebra of the corresponding \(Q\)system.
Gregory Falkovich: Fibonacci turbulence
I shall describe a family of onedimensional models which bridge wave and vortical turbulence.
That family may present our so far best shot to develop dynamical renormalization group approach to turbulence.
Pierre Le Doussal: Entanglement entropy growth in stochastic conformal field theory and the KPZ class
André LeClair: \(T\bar{T}\): reversing my early work with Denis
Satya Majumdar: Effective Langevin equation for constraint stochastic processes
In this talk, I will discuss how to derive an exact effective Langevin equation for a stochastic process subject to either geometric
or dynamical constraints. After describing a few single particle examples, I'll generalise our method to a multiparticle process with interaction,
namely the "nonintersecting Brownian bridges" and discuss its connection to random matrix theory.
Vincent Pasquier: On discrete time lattice models
I shall describe some temporal discretizations of lattice models which preserve integrability: BBS, discretized Toda and Landau Lifschitz equation.
Hubert Saleur: The CFT of the twodimensional loop gas
I will give a short and qualitative summary of our recent determination of fourpoint functions in the 2D conformal loop ensemble
Jean ThierryMieg: Superalgebraic \(SU(21)\) model of leptons and quarks
I'll outline recent progress towards a QFT of the electroweak interactions displaying an internal SU(2/1) structure, based on the new concept of a superalgebra valued superselfdual connection polyform which unifies scalars, vectors and AvdeevChizhov tensors.
Jacopo Viti: CFTs on genus two Riemann surfaces and applications to entanglement negativity
I'll show how CFT partition functions on \(Z_3\) symmetric Riemann surfaces can be computed by a fastly convergent series expansion.
I'll discuss applications to entanglement negativity in rational conformal theories with \(c<1\).
JeanBernard Zuber: Foreword
Four words on Denis' trajectory
COVID19 measures
For the safety of all participants, all mandatory sanitary restrictions related to the ongoing Covid19 epidemics will be implemented throughout the duration of the conference. In particular, participants might be required to wear masks inside the conference venue.