Watch a 45-minute mathematics lecture where Joel Moreira from the University of Warwick explores infinite arithmetic configurations in sets with positive density. Delivered at the Institute of Mathematics of the Polish Academy of Sciences during the Simons Semester on Dynamics conference on Nilpotent structures in topological dynamics, ergodic theory and combinatorics, the talk delves into advanced mathematical concepts related to density properties and arithmetic patterns. Learn about cutting-edge research presented at the Będlewo Mathematical Research and Conference Center as part of the broader discussion on nilpotent structures and their applications in various mathematical domains.