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This lecture is the first in a series aimed at introducing resolution of singularities to non-experts, particularly foliation specialists. Join Dan Abramovich as he continues his effort to explain why resolution of singularities in characteristic zero works, focusing on a crucial criterion from Wlodarczyk's article that outlines the necessary elements for resolving singularities. The presentation is part of joint work with André Belotto da Silva, Michael Temkin, and Jaroslaw Wlodarczyk, recorded during the thematic meeting "Foliations, birational geometry and applications" on February 3, 2024, at the Centre International de Rencontres Mathématiques in Marseille, France. Access this video and other mathematical talks on CIRM's Audiovisual Mathematics Library, which offers features like chapter markers, keywords, abstracts, bibliographies, and multi-criteria search capabilities.
