Sphere Packings with Forbidden Distances

Explore a 25-minute lecture from the 1st Brazilian Workshop in Analytic Number Theory where Guilherme Israel Vedana from IMPA delves into the mathematical concepts of sphere packings with forbidden distances. Part of a broader workshop bringing together Number Theory researchers from across Brazil, the lecture contributes to discussions alongside other notable topics including prime numbers, elliptic curves, and hyperbolic geometry. Delivered at IMPA in Rio de Janeiro, the presentation joins a distinguished lineup of international speakers covering various aspects of analytic and algebraic number theory, including recent advances like finite distances between consecutive primes and sphere packing in dimensions 8 and 24.