Abstract: I will give a basic introduction to the representation theory of \(GL_n(\mathbb{Q}_p) \) and describe some phenomena that do not appear in the complex representation theory of finite groups. In particular, I will introduce the so-called Bernstein block decomposition.
Abstract: The development of PDE models capable of describing tumor growth may help to monitor disease progression or predict the efficacy of different therapeutic strategies. However, to be truly informative or predictive, these models need to be corrected and/or parameterized
Abstract : Self-similar solutions for the modified Korteweg-de Vries equation are of both physical and mathematical interest. On the physical side, among several applications, they model the formation of sharp corners in planar vortex patches. Mathematically, they describe the asymptotic
We study data-dependent uniform generalization bounds by approaching the problem from a PAC-Bayesian perspective. We first apply the PAC-Bayesian framework on ``random sets'' in a rigorous way, where the training algorithm is assumed to output a data-dependent hypothesis set after
Neural network compression has been an increasingly important subject, not only due to its practical relevance, but also due to its theoretical implications, as there is an explicit connection between compressibility and generalization error. In this talk, I will present
Résumé : Dans une première partie, je ferai une introduction à quelques méthodes de calcul en théorie des représentations des carquois. Je choisirai des exemples où l'on peut tout faire à la main par une combinatoire des chemins dans un
Quiver representation theory is a fundamental tool in modern representation theory of associative algebras. A cornerstone of this field is Gabriel’s theorem, which characterizes quivers with finitely many indecomposable representations as precisely those arising from Dynkin diagrams of type ADE.
Les fonctions APN (Almost Perfect Nonlinear) sont les fonctions qui offrent une résistance optimale à la cryptanalyse différentielle. Étudiées depuis plus de 30 ans, elles posent encore un grand nombre de problèmes ouverts. Le plus important est sans aucun doute
