Collège De France (général)
Conférencier invité - Lisa Sauermann : Three-term arithmetic progressions, the slice rank polynomial method and the Erdös-Ginzburg-Ziv Problem (2)
- Author: Vários
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- Publisher: Podcast
- Duration: 108:28:00
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Conférencier invité - Lisa Sauermann : Three-term arithmetic progressions, the slice rank polynomial method and the Erdös-Ginzburg-Ziv Problem (2)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 second lecture will cover the breakthrough upper bound for the size of three-term progression free subset of F_p^n of Ellenberg and Gijswijt. The lecture will present a reformulation of the proof of this bound due to Tao, using the so-called slice rank polynomial method. Additional applications of this method will also be discussed, for example to the so-called Erdös-Szemerédi sunflower problem in extremal set theory.Lisa SauermannProfesseure, université de Bonn, Institut des Mathématiques appliquées
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