Combinatorics around the q-Onsager algebra

At the conference we will be celebrating the 70th birthday of Paul Terwilliger. As such, the general theme of this conference will be the mathematical topics that Paul has worked on over the years (which all have relationships to the q-Onsager algebra). These topics include the following:

• Topics in algebraic graph theory, such as distance-regular graphs, association schemes, the subconstituent algebra, and the Q-polynomial property;

• Topics in linear algebra, such as Leonard pairs, tridiagonal pairs, billiard arrays, lowering-raising triples, and a linear algebraic approach to the orthogonal polynomials of the Askey scheme;

• Topics in Lie theory, such as the tetrahedron algebra and the Onsager algebra;

• Topics in algebras and their representations, such as the equitable presentation of Uq(sl2), the q-tetrahedron algebra, the q-Onsager algebra in mathematical physics, and the universal Askey-Wilson algebra.

Date:

23-28 June, 2025

Location:

Ramada Resort, Kranjska gora, Slovenia


 
                                        (Source: kranjska-gora.si, photo: Jezero Jasna)

Organizers: 

Štefko Miklavič (University of Primorska, Andrej Marušič Institute, Slovenia) 
Contact: stefko.miklavic@upr.si

Mark MacLean (Mathematics department, Seattle University, USA)
Contact: macleanm@seattleu.edu