10:00 à 12:00
Conférencier invité

Three-Term Arithmetic Progressions, the Slice Rank Polynomial Method and the Erdös-Ginzburg-Ziv Problem (4)

Lisa Sauermann
Amphithéâtre Guillaume Budé, Site Marcelin Berthelot
En libre accès, dans la limite des places disponibles
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Résumé

This 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.