What Motives Know About Periods and the Other Way Around

Explore a mathematical conference talk that delves into the application of motive theory to transcendence theory, with a focus on formal aspects. Learn about the Period Conjecture and its prediction regarding relationships between period numbers and their connection to the category of motives. Understand how this conjecture, while proven for motives of points and curves, remains an open question in general cases. Discover the implications of the Period Conjecture on the Hodge-de Rham realization on Nori motives, and examine its potential generalization to triangulated motives and motivic cohomology. Recorded during the "Motivic homotopy in interaction" thematic meeting at the Centre International de Rencontres Mathématiques in Marseille, France, this presentation offers access to chapter markers, keywords, abstracts, and bibliographies through CIRM's Audiovisual Mathematics Library.