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This lecture explores the concept of h-minimality in non-archimedean geometry, presented by Silvain Rideau-kikuchi at the "Tame Geometry" thematic meeting at Centre International de Rencontres Mathématiques in Marseille, France. Discover how h-minimality attempts to replicate the rich tame geometry found in o-minimality by imposing restrictions on definable subsets of the affine line. Learn about this mathematical notion that covers all known well-behaved characteristic zero valued fields and its strong analytic and geometric consequences. Unlike o-minimality, h-minimality requires special consideration of how finite sets are defined, resulting in a family of h-minimality notions. The talk provides a comprehensive overview of work by various mathematicians in this field and compares the non-archimedean approach to the archimedean picture. The recording includes chapter markers and keywords for navigating specific sections, and is part of CIRM's Audiovisual Mathematics Library.
