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The talks will be about the use of the motivic obstruction to stable rationality introduced by Nicaise–Shinder to the rationality problem for hypersurfaces and complete intersections. In particular, we will show that very general quartic fivefolds and complete intersections of a quadric and a cubic in $\mathrm{P}^{6}$ arestably irrational. An important new ingredient is the use of tropical degeneration techniques. These results are obtained in collaboration with Johannes Nicaise. CONFERENCE Recording during the thematic meeting : «Logarithmic and non-archimedean methods in Singularity Theory» the January 28, 2024 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker : Luca Récanzone Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, bibliographies, Mathematics Subject Classification - Multi-criteria search by author, title, tags, mathematical area