Ecoles d'été
Cours/Séminaire
Phong NGUYEN - Recent progress on lattices's computations 2
This is an introduction to the mysterious world of lattice algorithms, which have found many applications in computer science, notably in cryptography. We will explain how lattices are represented by
Aurel PAGE - Cohomology of arithmetic groups and number theory: geometric, asymptotic and computati…
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry)
Oussama Hamza - Hilbert series and mild groups
Let $p$ be an odd prime number and $G$ a finitely generated pro-$p$ group. Define $I(G)$ the augmentation ideal of the group algebra of $G$ over $F_p$ and define the Hilbert series of $G$ by: $G(t):
Tobias Moede - Coclass theory for nilpotent associative algebras
The coclass of a finite p-group of order p^n and class c is defined as n-c. Using coclass as the primary invariant in the investigation of finite p-groups turned out to be a very fruitful approach.
Zachary Himes - On not the rational dualizing module for $\text{Aut}(F_n)$
Bestvina--Feighn proved that $\text{Aut}(F_n)$ is a rational duality group, i.e. there is a $\mathbb{Q}[\text{Aut}(F_n)]$-module, called the rational dualizing module, and a form of Poincar\'e duality
Alexander HULPKE - Computational group theory, cohomology of groups and topological methods 5
The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to
Alexander HULPKE - Computational group theory, cohomology of groups and topological methods 4
The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to
Gabriele NEBE - Lattices, Perfects lattices, Voronoi reduction theory, modular forms, computations …
The talks of Coulangeon will introduce the notion of perfect, eutactic and extreme lattices and the Voronoi's algorithm to enumerate perfect lattices (both Eulcidean and Hermitian). The talk of Nebe
Paul GUNNELLS - Cohomology of arithmetic groups and number theory: geometric, asymptotic and comput…
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry)
Paul GUNNELLS - Cohomology of arithmetic groups and number theory: geometric, asymptotic and comput…
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry)
Paul GUNNELLS - Cohomology of arithmetic groups and number theory: geometric, asymptotic and comput…
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry)
Paul GUNNELLS - Cohomology of arithmetic groups and number theory: geometric, asymptotic and comput…
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry)
Conférence
Kieran Child - Computation of weight 1 modular forms
A major achievement of modern number theory is the proof of a bijection between odd, irreducible, 2-dimensional Artin representations and holomorphic weight 1 Hecke eigenforms. Despite this result,
Tobias Braun - Orthogonal Determinants
Basic concepts and notions of orthogonal representations are introduced. If X : G → GL(V ) is a K-representation of a nite group G it may happen that its image X(G) xes a nondegenerate quadratic
Benjamin Brück - High-dimensional rational cohomology ...
By a result of Church-Putman, the rational cohomology of $\operatorname{SL}_n(\mathbb{Z})$ vanishes in "codimension one", i.e. $H^{{n \choose 2} -1}(\operatorname{SL}_n(\mathbb{Z});\mathbb{Q}) = 0$
Lewis Combes - Computing Selmer groups attached to mod p Galois representations
Selmer groups attached to a p-adic Galois representation have been studied thoroughly, but their mod p cousins have so far received less attention. In this talk we explain the construction of the p
Petru Constantinescu - On the distribution of modular symbols and cohomology classes
Motivated by a series of conjectures of Mazur, Rubin and Stein, the study of the arithmetic statistics of modular symbols has received a lot of attention in recent years. In this talk, I will
2019
- GUENANCIA Henri
- HöRING Andreas
- DRUEL Stéphane
- TOUZET Frédéric
- SPICER Calum
- NOVIKOV Dmitriĭ Aleksandrovich
- MEERSSEMAN Laurent
- GHAZOUANI Selim
- DEROIN Bertrand
- DEMAILLY Jean-Pierre
- BINYAMINI Gal
- BELOTTO DA SILVA André Ricardo
- AMERIK Ekaterina
- REIS Helena
- POLIZZI Francesco
- PEREIRA Jorge Vitório
- LORAY Frank
- GASBARRI Carlo
- FLORIS Enrica
- DIVERIO Simone
- BOST Jean-Benoît
- ARAUJO Carolina
- niveau 1 niveau 2 niveau 3
- document 1 document 2 document 3
Intervenants
Auteur d'une thèse en Mathematiques à Bordeaux en 2014
Informaticien. Directeur de recherche INRIA, équipe Conception et analyse de systèmes pour la confidentialité et l'authentification de données et d'entités (CASCADE), Département d'informatique de l'ENS-PSL (DI-ENS, UMR 8548), École normale supérieure, Paris (en 2023)
Doctorat en sciences et techniques (Université de Paris VII, 1999)
Mathématicienne. En poste : Lehrstuhl D für Mathematik, Technische Hochschule Aachen, Allemagne (en 2006). Professeure à l'Université d'Aix-la-Chapelle (RWTH Aachen University), Allemagne (en 2022)
Mathématicien. Professeur associé à l'Université de Massachusett (Etats-Unis) en 2007.