Codes and Expansions (CodEx) Seminar

Davi Castro-Silva (Universität zu Köln)
Geometrical sets with forbidden configurations

Given a family of finite configurations in Euclidean space, we define their "independence density" as the maximum density a measurable set can have without containing congruent copies of any configuration in this family. We similarly define the analogous parameter in the spherical setting, when the sets considered are restricted to lie on the unit sphere. In this talk we will study these geometrical parameters using tools from Fourier analysis and combinatorics, and I will present several results I believe are interesting.