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Watch the second lecture in a mathematical series exploring polynomial automorphisms of affine space, focusing on the subgroup of tame automorphisms. Delve into fundamental questions about normal subgroups, Tits alternative, and dynamical degrees through the lens of metric spaces, specifically the coset and valuation complexes. Examine three key cases: Aut($\mathbb{A}^{2}$) = Tame($\mathbb{A}^{2}$), Tame($\mathbb{A}^{3}$), and Tame(Q($\mathbb{A}^{4}$)) of tame automorphisms preserving nondegenerate quadratic form. Access this one-hour lecture, recorded at the Centre International de Rencontres Mathématiques during the "Arithmetic, Algebraic and Analytics Dynamics" thematic meeting, through CIRM's Audiovisual Mathematics Library, which offers chapter markers, keywords, enriched content with abstracts and bibliographies, and advanced search functionality.
