Michael CUNTZ gave three lectures on "Weyl Groupoids", starting in rank 2 with freeze pattern and followed by a beautiful classification of crystallographic hyperplane arrangements, generalizing the classification of finite Weyl groups.
The second series of three lectures, "Counting Over Finite Fields and Shuffle Conjectures", was delivered by Anton Mellit on the shuffle theorem via very elegant counting of geometric objects over finite fields. He started with counting flags of vector spaces and proceeded with counting more and more involved structures to obtain a formula by Lascoux-Schützenberger for Kostka-Foulkes polynomials and of Haglund, Haiman, and Loehr for Macdonald polynomials.
The topics of the contributed talks were diverse as detailed in the list below, with multiple talks by young first-time participants.
We were (only) 30 participants in this new location but we very much enjoyed the atmosphere of the place, the pleasent surrounding and the sunny weather.
Theo DOUVROPOULOS: Coxeter factorizations and the matrix--tree theorem with generalized Jucys-Murphy weights
Gérard DUCHAMP: Non-commutative differential equations
Hans HÖNGESBERG: On a four-fold refined enumeration of alternating sign trapezoids
Alessandro IRACI: Refined Delta conjectures
Christian KRATTENTHALER: A joint central limit theorem for the sum-of-digits function, and asymptotic divisibility of Catalan-like sequences
René MARCZINZIK:
Vincel Hoang NGOC MINH:
Philippe NADEAU: Divided symmetrization and quasisymmetric polynomials
Inês RODRIGUES: An action of the cactus group on shifted tableau crystals
Gerhard RÖHRLE:
João Miguel SANTOS: Symplectic keys and Demazure atoms: a frank discussion}
Patrick WEGENER: Non-reduced reflection factorizations of Coxeter elements