Coursera Flash Sale
40% Off Coursera Plus for 3 Months!
Grab it
Explore a mathematics lecture from the Centre International de Rencontres Mathématiques that delves into applications of Hrushovski and Kazhdan's theory of motivic integration. Discover how this theory connects motivic invariants to semi-algebraic sets in algebraically closed valued fields. Learn about the work of Hrushovski and Loeser, and their collaboration with Yin, showing how motivic volumes relate to classical invariants of the non-archimedean Milnor fiber. Examine 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 through collaboration with Loeser and Wyss. Access this recording from the "Logarithmic and non-archimedean methods in Singularity Theory" thematic meeting through CIRM's Audiovisual Mathematics Library, featuring chapter markers, keywords, enriched content with abstracts and bibliographies, and comprehensive search functionality for mathematical content.
