From Macdonald Processes to Hecke Algebras and Quantum Integrable Systems

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. 

Invited participants

• Natan Andrei (Rutgers)
• Alexei Borodin (MIT)
• Victor Dotsenko (Paris)
• Erdal Emsiz (Santiago)
• Vadim Gorin (MIT)
• Christian Korff (Glasgow)
• Pierre Le Doussal (Paris)
• Eric Opdam (Amsterdam)
• Leonid Petrov (Northeastern)
• Alexander Povolotsky (Moscow)
• Jeremy Quastel (Toronto)
• Tomohiro Sasamoto (Tokyo)
• Gunter Schutz (Julich)
• Timo Seppalainen (Wisconsin)
• Yoshihiro Takeyama (Tsukuba)
• Craig Tracy (Davis)
• Jan Felipe Van Diejen (Talca)
• Nikos Zygouras (Warwick)