Combinatorics around the q-Onsager algebra

Kranjska gora

Kranjska gora

Mark MacLean (Seattle University), Štefko Miklavič (University of Primorska)

Satellite event of the 8th European Congress of Mathematics

8ECM and EMS

Combinatorics around the q-Onsager algebra

Important announcement

We regret to announce that after much reflection, we have decided to cancel the q-Onsager algebra Conference (in celebration of Paul Terwilliger’s 65th birthday), which had been scheduled for Slovenia in June 2022. We believe there is still too much uncertainty around the pandemic and international travel restrictions for us to proceed with planning this event next summer.

We hope that eventually conditions will be better and more predictable and that perhaps we can hold a similar conference in the future. We have discussed the possibility of a 70th birthday conference for Paul in a few years.

We apologize for any inconvenience this cancellation may cause. Thank you most sincerely for your interest.

We were deeply saddened to hear about the passing of Vaughan Jones, who was scheduled to speak at our conference.  We extend our heartfelt sympathies to his family, friends and colleagues.  (link)


At the conference we will be celebrating the 65th 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.

The deadline for submitting abstracts for contributed talks has passed.  However, further submissions may still be considered if space is available.  If interested, please email the conference organizers.


20-24 June, 2022


Ramada Resort, Kranjska gora, Slovenia


Štefko Miklavič (University of Primorska, Andrej Marušič Institute, Slovenia) 

Mark MacLean (Mathematics department, Seattle University, USA)

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