From Macdonald Processes to Hecke Algebras and Quantum Integrable Systems.
Institut Henri Poincaré, Paris, France
Organiser: Ivan Corwin
CMI Enhancement and Partnership Program
Recently, it has become clear that there is much that can be learned from increased interactions between people working on integrability from a probabilistic perspective, those working from a more algebraic perspective, and those working from a mathematical physics perspective. It particular, it seems that there exist many connections between the theories of Macdonald processes, double affine Hecke algebras, and the algebraic / coordinate Bethe ansatz which are not understood.
The purpose of this workshop is to bring these three groups together with the aim of sharing methods, fostering collaborations and ultimately understanding these connections.
Alexei Borodin From Macdonald processes to Hecke algebras and quantum integrable systems
Alexander Povolotsky Integrable particle models with factorized steady states
Leonid Petrov Spectral theory for integrable interacting particle systems
Vadim Gorin Random matrix asymptotics for the six-vertex model
Gunter Schutz Microscopic structure of the ASEP conditioned on an atypical current
Jan Felipe Van Diejen Integrable boundary interactions for Ruijsenaars' difference Toda chain
Erdal Emsiz Discrete harmonic analysis on a Weyl alcove and the double affine Hecke algebra at critical level
Yi Sun A new integral formula for the Heckman-Opdam hypergeometric functions
Alexei Bufetov Asymptotics of representations of classical Lie groups
Jeff Kuan Three-dimensional Gaussian fluctuations of noncommutative random surfaces
Yoshihiro Takeyama A deformation of affine Hecke algebra and integrable stochastic particle system
Christian Korff The Bethe ansatz in quantum Schubert calculus
Eric Opdam Dirac induction and Hecke algebra modules
Ivan Corwin Beyond the Gaussian universality class
(Location: Séminaire Des Mathématiques, ENS)
Pierre Le Doussal Exact results for the Kardar-Parisi-Zhang equation and directed path models, from replica Bethe ansatz and field theory
Natan Andrei Quench dynamics of quantum interacting many body systems in 1-d
Nikos Zygouras Tropical combinatorics, Whittaker functions and random polymers