Collège De France (général)

Conférencier invité - Lisa Sauermann : Three-term arithmetic progressions, the slice rank polynomial method and the Erdös-Ginzburg-Ziv Problem (1)

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Conférencier invité - Lisa Sauermann : Three-term arithmetic progressions, the slice rank polynomial method and the Erdös-Ginzburg-Ziv Problem (1)Cours Peccot InternationalCréé en 2023, le Cours Peccot International récompense spécifiquement de jeunes mathématiciennes européennes, invitées à donner une série de conférences au Collège de France. Lisa Sauermann est lauréate pour l'année 2024-2025, elle donnera une série de 4 conférences en février et mars 2025.RésuméThe first lecture will give an overview over the problem of estimating the maximum possible size of a three-term progression free subset of F_p^n for a fixed prime p and large n, as well as over the analogous problem in {1,…,N}. More specifically, the lecture will discuss the known bounds for these problems, and give a proof outline for recent lower bounds (obtained in joint work with Elsholtz, Hunter, and Proske).Lisa SauermannProfesseure, université de Bonn, Institut des Mathématiques appliquées

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