Parametrizations in Valued Fields

Explore a 49-minute conference talk by Floris Vermeulen on parametrizations in valued fields, recorded during the "Tame geometry" thematic meeting at the Centre International de Rencontres Mathématiques in Marseille, France on February 13, 2025. Learn how parametrizations of definable sets serve as a crucial element in the Pila-Wilkie counting theorem within the o-minimal setting, and discover how a similar parametrization-based approach was developed by Cluckers-Comte-Loeser and Cluckers-Forey-Loeser for subanalytic sets in p-adic fields. Understand the joint work with R. Cluckers and I. Halupczok that proves the existence of parametrizations for arbitrary definable sets in Hensel minimal fields, resulting in a counting theorem in this general context. Access this video and other mathematical talks on CIRM's Audiovisual Mathematics Library, featuring helpful functionalities like chapter markers, keywords, enriched content with abstracts and bibliographies, and multi-criteria search options.