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Watch a mathematics lecture exploring polynomial automorphisms of affine space, focusing on the group of tame automorphisms and their properties. Delve into fundamental questions about normal subgroups, Tits alternative, and dynamical degrees through the lens of metric spaces, specifically examining the coset and valuation complexes. Learn about three key cases: Aut(A²) = Tame(A²), Tame(A³), and Tame(Q(A⁴)) for automorphisms preserving nondegenerate quadratic forms. Recorded during the "Arithmetic, Algebraic and Analytics Dynamics" thematic meeting at CIRM in Marseille, France, this lecture features chapter markers, keywords, abstracts, and bibliographies for enhanced learning accessibility through CIRM's Audiovisual Mathematics Library.
