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Explore advanced mathematical concepts in this lecture from the "Logarithmic and non-archimedean methods in Singularity Theory" conference at CIRM, focusing on Hrushovski and Kazhdan's theory of motivic integration and its applications to semi-algebraic sets in algebraically closed valued fields. Delve into the work of Hrushovski and Loeser, examining how motivic volumes connect to classical invariants of the Milnor fiber when applied to non-archimedean Milnor fiber. Learn about the application of these methods to singularities arising from smooth variety quotients by linear groups, including the orbifold formula of Batyrev and Denef–Loeser for finite groups and its extension to general linear groups. Access this comprehensive mathematical presentation through CIRM's Audiovisual Mathematics Library, featuring chapter markers, keywords, enriched content with abstracts and bibliographies, and advanced search capabilities for exploring related mathematical content.
