Séminaire Lotharingien de Combinatoire, B87pref (2022), 1 p.

Jehanne Dousse, Frédéric Jouhet, Philippe Nadeau and Jiang Zeng


It was the very first time that the Séminaire was held at the Domaine de la Barollière, which ls situated on a hill near the city of Saint-Étienne. We mostly enjoyed the place and its atmosphere, and hope to be able to organize the SLC there again. Despite an usually cold beginning of April, we had great weather and the participants were able to enjoy the countryside nearby during the breaks. As can be seen from the photo taken from the premises, they were accompanied by lamas and a small gathering of what turned out to be drone pilots.

The main speakers of this session were:

Cédric Lecouvey (Université de Tours, France)
Jeremy Lovejoy (CNRS, Université Paris Cité, France).

They gave, respectively, three lectures on the topics "Crystal Graph Theory and Some of its Generalizations" and "Bailey Pairs in Combinatorics, Number Theory, and Knot Theory". There were also many contributed talks (see the detailed list below) which covered various topics, among which permutations, partitions, representation theory, symmetric functions, q-series, alternating sign matrices, ... As usual in the spirit of the SLC, the participants also had time during the many coffee breaks, evenings and meals taken all together to have scientific discussions and share ideas. For many of them, it was the first conference since the beginning of the Covid-19 pandemic which made it particularly enjoyable.

We would like to thank the Institut Camille Jordan and the Agence Nationale de la Recherche (projet Combiné ANR-19-CE48-0011) for their financial support.

Contributed talks:

Florian AIGNER: Alternating sign matrices and totally symmetric plane partitions

Seamus ALBION: 2-core Littlewood identities

Olga AZENHAS: Symplectic cactus action on crystals of Kashiwara-Nakashima tableaux

Berénice DELCROIX-OGER: Tridendriform structures on the faces of hypergraph associahedra

Isaac KONAN: The combinatorics of (k,l)-lecture hall partitions

Josef KÜSTNER: Lattice paths and negatively indexed weight-dependent binomial coefficients

Ivan LE BORGNE: On periodic configurations for sandpile model on square lattice

Matteo MUCCICONI: Bijective proof of Cauchy Identities for q-Whittaker polynomials

Vu NGUYEN DINH: Drinfeld-Kohno Lie algebra and Lazard elimination

Jiayue QI: Maker-breaker domination number

Salim ROSTAM: Asymptotics of Young diagrams

Nat THIEM: Categorifying combinatorial Hopf algebras

Jacinta TORRES: Minuscule exceptional Schubert varieties

David WAHICHE: A q-analogue of Nekrasov-Okounkov for type C

List of Participants: