Explore a comprehensive program examining the interconnections between classical, quantum, and probabilistic integrable systems through cutting-edge research presentations and lectures. Delve into advanced topics including spin q-Whittaker polynomials, discrete random matrix theory, KPZ class weak noise theory, and quantum exclusion processes. Investigate the mathematical foundations of random partitions, monitored quantum systems, and Pfaffian point processes while examining applications to TASEP models and random regular graphs. Study integral many-body systems through generalized hydrodynamics, entanglement evolution in quantum systems, and the quasiparticle picture of quantum dynamics. Analyze soliton gases, Yang-Baxter equations, and their connections to the Kardar-Parisi-Zhang equation, alongside explorations of box-ball systems and tetrahedron equations from quantum cluster algebras. Examine extremal particles in random Gelfand-Tsetlin patterns, macroscopic fluctuation theory, and crystal skeletons while investigating multispecies ASEP models and two-point function decay in species interactions. Learn from leading experts in mathematical physics and probability theory as they present novel interactions and applications spanning from classical integrable systems to quantum circuits with stochastic boundaries.

Syllabus

Matteo Mucciconi | Orthogonality of spin q-Whittaker polynomials
Roger Van Peski | Integrability in discrete random matrix theory
Alexandre Krajenbrink|Unveiling the classical integrable structure of weak noise theory of KPZ class
Jimmy He | Symmetries of periodic and free boundary measures on partitions
Cesar Cuenca | Random partitions at high temperature
Andrea De Luca | Monitored quantum systems, product of random matrices and permutations
Jan De Gier | Pfaffian point process for TASEP on the half line
Kenyon 5625
Jiaoyang Huang | Ramanujan Property and Edge Universality of Random Regular Graphs
Jan De Gier | Pfaffian point process for TASEP on the half line
Leonid Petrov | Random Fibonacci Words
Pasquale Calabrese | Entanglement evolution and quasiparticle picture 2
Herbert Spohn | Integral many-body systems and GHD, Lecture 3
Pasquale Calabrese | Entanglement evolution and quasiparticle picture 1
Herbert Spohn | Integral many-body systems and GHD, Lecture 2
Tomohiro Sasamoto | Exact density profile & current fluctuations in a tight-binding chain...
Herbert Spohn | Integral many-body systems and GHD
Tomaz Prosen | On Integrable Quantum and Classical Circuits (with Stochastic Boundaries)
Sylvain Prolhac | Approach to stationarity for KPZ fluctuations in finite volume
Tomaz Prosen | On Integrable Quantum and Classical Circuits (with Stochastic Boundaries)
Tomaz Prosen | On Integrable Quantum and Classical Circuits (with Stochastic Boundaries)
Guillaume Barraquand | Large time cumulants of the open KPZ equation
Tamara Grava | Random solitons and soliton gas
Ivan Corwin | How Yang-Baxter unravels Kardar-Parisi-Zhang
Kurt Johansson | Extremal particles in uniform random Gelfand-Tsetlin patterns
Pierre Le Doussal | Exact results for the macroscopic fluctuation theory of 1D weakly asymmetric...
Denis Bernard | Quantum Exclusion Processes for (and by) Amateurs
Atsuo Kuniba | Box-ball systems
Kurt Johansson | Extremal particles in uniform random Gelfand-Tsetlin patterns
Atsuo Kuniba | Solutions of tetrahedron and 3D reflection equations from quantum cluster algebras
Benjamin Doyon | The equations of generalised hydrodynamics, and their unusual diffusve corrections
Denis Bernard | Quantum Exclusion Processes for (and by) Amateurs
Sylvie Corteel | Crystal Skeletons
Benjamin Doyon | The equations of generalised hydrodynamics, and their unusual diffusve corrections
Atsuo Kuniba | Multispecies ASEP and t-PushTASEP on a ring and a strange five vertex model
Patrik Ferrari | Decoupling and decay of two-point functions in a two-species TASEP
Amol Aggarwal | The Toda Lattice as a Soliton Gas
Denis Bernard | Quantum Exclusion Processes for (and by) Amateurs