Colloque des sciences mathématiques du Québec

19 mai 2023 de 15 h 30 à 16 h 30 (heure de Montréal/HNE) Sur place

Finite point configurations in Euclidean, discrete and arithmetic settings

Colloque par Alex Iosevich (Université de Rochester)

The basic question we ask is, how large does a subset of a given vector space need to be to ensure that it contains a congruent copy of a given point configuration. In Euclidean space, the size is measured in terms of Hausdorff dimension. In finite fields, the counting measure is used. We are going to survey a variety of recent and not so recent results, as well as connections between them. Emerging connections with learning theory will be mentioned as well.

Adresse

Centre de recherches mathématiques Pavillon André-Aisenstadt, Université de Montréal salle 5340