Nash Blowup Fails to Resolve Singularities in Dimensions Four and Higher

Explore a 34-minute conference talk from the Centre International de Rencontres Mathématiques where Maximiliano Leyton-Álvarez presents joint research with Federico Castillo, Daniel Duarte, and Alvaro Liendo demonstrating that iterating Nash blowups or normalized Nash blowups cannot resolve singularities of algebraic varieties in dimension 4 or higher over algebraically closed fields of arbitrary characteristic. Recorded during the thematic meeting "Logarithmic and non-archimedean methods in Singularity Theory" in Marseille, France, this presentation is available through CIRM's Audiovisual Mathematics Library, featuring chapter markers, keywords, enriched content with abstracts and bibliographies, and comprehensive Mathematics Subject Classification search capabilities.