Collège De France (général)
Conférencier invité - Lisa Sauermann : Three-term arithmetic progressions, the slice rank polynomial method and the Erdös-Ginzburg-Ziv Problem (4)
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- Duration: 124:40:00
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Conférencier invité - Lisa Sauermann : Three-term arithmetic progressions, the slice rank polynomial method and the Erdös-Ginzburg-Ziv Problem (4)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.RésuméThis final lecture will discuss the proof of a recent result in joint work with Zakharov, bounding the size of subsets of F_p^n not containing p distinct vectors summing to zero. As discussed in the previous lecture, this leads to bounds for the Erdös-Ginzburg-Ziv Problem in high dimension. The proof uses the slice rank polynomial method in combination with other tools from additive combinatorics and probabilistic methods.Lisa SauermannProfesseure, université de Bonn, Institut des Mathématiques appliquées
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