Explore a 46-minute lecture on real invariants in arithmetic geometry and theta series, presented by Jean-Benoît Bost from Université Paris-Sud at the Fields Institute. Delve into topics such as geometric stability theory, tame geometry, algebraic geometry, Euclidean lattices, and dual lattices. Examine competing invariants, H0 Theta, Archimedean geometry, quasicurrent shift, and chronological invariants. Investigate the covering radius and a special theorem related to the subject matter. Gain insights from this workshop presentation, which is part of the "From Geometric Stability Theory to Tame Geometry" series.