Multi-tilings and the Geometry of Numbers Using the Siegel-Bombieri Approach

Explore a 47-minute lecture from the 1st Brazilian Workshop in Analytic Number Theory where Professor Sinai Robins from the University of São Paulo delves into multi-tilings and the geometry of numbers through the Siegel-Bombieri approach. Part of a broader workshop bringing together number theory researchers from across Brazil, the presentation contributes to an event featuring distinguished speakers discussing various aspects of analytic and algebraic number theory, from Lehmer's problem to partition regularity of squares. Delivered at the Instituto de Matemática Pura e Aplicada (IMPA) in Rio de Janeiro, the lecture forms part of a series highlighting recent advances in number theory, including breakthrough work on finite distances between consecutive primes and sphere packing in higher dimensions.