Collège De France (général)
Conférencier invité - Lisa Sauermann : Three-term arithmetic progressions, the slice rank polynomial method and the Erdös-Ginzburg-Ziv Problem (3)
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Conférencier invité - Lisa Sauermann : Three-term arithmetic progressions, the slice rank polynomial method and the Erdös-Ginzburg-Ziv Problem (3)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 third lecture will discuss the Erdös-Ginzburg-Ziv Problem in discrete geometry, and show how (at least in high dimension) it can be reformulated as a problem in F_p^n. Specifically, this leads to the question of asking about the maximum possible size of a subset of F_p^n not containing p distinct vectors summing to zero. Some bounds for this problem will be deduced from the Ellenberg-Gijswijt result for three-term progression free sets in F_p^n discussed in the previous lecture.Lisa SauermannProfesseure, université de Bonn, Institut des Mathémat
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