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. 


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