Séminaires : Séminaire d'Algèbres d'Opérateurs

Equipe(s) : ao,
Responsables :Pierre Fima, François Le Maître, Romain Tessera
Email des responsables :
Salle : 1013
Adresse :Sophie Germain

Orateur(s) Miguel Walsh - Oxford University/Universidade de Buenos Aires,
Titre Incidences over real varieties
Horaire14:00 à 14:00
Résume In recent years, the polynomial method has proven a powerful tool in different areas of mathematics, including number theory, harmonic analysis, computer science and combinatorics. We will discuss some improvements of this method over Euclidean space, including a sharp polynomial partitioning theorem over arbitrary varieties and new estimates on the behaviour of the connected components of real algebraic sets. As an application of these results, we provide a general degree-sensitive incidence bound for families of algebraic varieties of arbitrary degree and dimension.
AdresseSophie Germain