Designing truthful mecanism

-- Victor Glaser (LISN, Galac)

summary: In this presentation, we will focus on the generalization of knapsack budgeting. Given a set of projects and a budget, each voter selects a subset of projects; we want to maximize social welfare. Different measures can describe this (maximizing the minimum utility of the players, maximizing the sum of ...

Classification of truth revealing social choice algorithms

-- Valentin Dardilhac (LISN, Galac)

summary: The talk will be on the field of social choices. A group of players
want to choose a subset of a set of objects respecting some properties
(maximal weight of the subset, maximal amount of objects in the subset, ...). To do so, they vote and use a social choice ...

Block gluing in Hom shifts and path reconfiguration in graphs

-- Benjamin Hellouin de Menibus (LISN, Galac)

summary: We study some tilings spaces that are defined from graph homomorphisms, called Hom shifts. Compared to general tiling spaces, they look the same in every direction (invariance by rotation and symmetry) and many undecidable problems or questions in tiling spaces seem to become easier for these objects, using graph-theoretical ...

Acyclic colorings of graphs and the probabilistic method

-- Quentin Chuet (LISN, Galac)

summary: Graph colorings have been extensively studied for the past century, due to the richness of the theory and its numerous applications. Part of the current research focuses on constrained colorings, and how their properties differ from proper colorings. When we require that, in a proper coloring, no (even) cycle ...

From Delta to Theta conjectures: a survey

-- Anna Vanden Wyngaerd (IRIF Université Paris Cité)

In 2015, Haglund Remmel and Wilson proposed two conjectural combinatorial interpretations of a certain symmetric function involving a certain Delta operator, which acts diagonally on the MacDonald polynomials. These formulas generalise the shuffle conjecture (Haglund, Haimal, Loehr, Remmel, Ulyanov 2002), now theorem (Carlsson, Mellit 2018). In this talk, we will ...

Tiling Groups: Emptiness and Aperiodicity

-- Nicolas Bitar (LISN, Galac)

summary: Tilings of the plane or infinite grid have been a rich field of study for many years. Through tiling with local rules, it is even possible to create aperiodicity and embed computation in the plane. But what happens when we begin changing the underlying structure? We will explore how ...

Vingt mille lieues sous les mots

-- Pierre Béaur (LISN, Galac)

summary: Dans cette présentation, nous découvrirons une partie de l'écosystème de l'océan de la combinatoire de mots, dont l'exploration a commencé depuis plus d'un siècle. À la surface vivent d'abord les mots périodiques, aux propriétés très régulières et simples : ils nous serviront de point d ...

Introduction à l'apprentissage par renforcement

-- Marc Velay (LISN, Galac)

summary: Cet exposé proposera une introduction à l'apprentissage par renfocement, en présentant les fonctions à maximiser et les types d'approches employées. La présentation suivra l'évolution historique du domaine, du Q-Learning au Deep Reinforcement Learning, en passant par des travaux étant devenus populaires tel que AlphaGo. Nous conclurons ...

Strong local rules without labels for Penrose rhombus tilings

-- Victor Lutfalla (Aix-Marseille Université)

summary: The Penrose rhombus tilings are a subshift of tilings of the planefirst defined by R. Penrose. This subshift is crucial in the study of geometrical tilings because, though it was originally defined with 2 rhombus tiles with cuts-and-notches or arrows on the edges, it is an aperiodic subshift with ...

Multitriangulations and tropical Pfaffians

-- Luis Crespo Ruiz (Universidad de Cantabria)

The \(k\)-associahedron \(Ass_k(n)\) is the simplicial complex of \((k+1)\)-crossing-free subgraphs of the complete graph with vertices on a circle. Its facets are called \(k\)-triangulations. We explore the connection of \(Ass_k(n)\) with the Pfaffian variety \(Pf_k(n)\subset K^\binom{n}{2}\) of antisymmetric matrices ...

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