The main lectures were given by Matija Bucić (Universität Wien) and Persi Diaconis (Stanford University). Bucić chose to talk about the "Pass to Expander Paradigm". In his insightful lectures (Lecture 1, Lecture 2, Lecture 3), he demonstrated the usefulness of expanders in various contexts and applications. Diaconis on the other hand took a new perspective on Pólya theory in his engaging lectures on "Enumeration under Symmetry (Pólya Theory Revisited)" (Lecture 1, Lecture 2, Lecture 3). The central role here was played by the Burnside process, which he carefully introduced and then applied to trees and partitions. We saw many beautiful results and intriguing open problems.
The contributed talks (see the detailed list below) covered a variety of diverse topics, including Schur positivity, "Fishburn combinatorics", continued fractions, Macdonald polynomials, matroids and standard Young tableaux, lozenge tilings, lattice theory, and partition congruences, among others.
Those who were also present two years earlier at the 92nd Séminaire Lotharingien de Combinatoire could witness a stunning difference in water level of the Wolfgangsee. Then, it had rained cats and dogs continuously for 3 days, this year however spring and summer had been (in all of Europe) extremely dry. These circumstances caused the water level to be almost 2 meters lower than it had been two years ago! However, the weather this time was fantastic (for October) so that many of us went swimming on Tuesday during the lunch break. Sure, doing a header from the institute's pier required some care to not hit the ground ... However, a dip into the lake was extremely enjoyable.
Eli Bagno:
Cyril Banderier: 0,1-matrices, Fishburn numbers and Fishburn Ferrers diagrams
Gaurav Bhatnagar: Ramanujan's continued fractions explained
David Garber: On saturated triangulation-free convex geometric graphs
Ulysse Goncalves: Hunting the poles in the staircases - a combinatorial study of the poles of nonsymmetric Macdonald polynomials, using the Yang-Baxter graph
Jon Pål Hamre: Chow classes of matroids and standard Young tableaux
Krishna Menon Puzhankarai: Gamma-positivity for octopuses
Mercedes Rosas: The priority lattice
Marcus Schönfelder: The 1/3-phenomenon of placement probabilities of tilings in the semiregular hexagon
Anton Sohn: Restricted classes of Fishburn structures and their associated polynomials
Nicolas Allen Smoot: Some new approaches to partition congruences
Emil Verkama: Patterns and connectivity in inversion graphs
Michael Wallner: Young tableaux with walls and holes for the Pons-Batle identity on tree-child networks
Izumi Watanabe: The min-symmetric monoid: a new labeled diagram monoid
Zafeirakis Zafeirakopoulos: How to use sparse interpolation when computing multivariate generating functions