Event
Piotr Przytycki (Ï㽶ÊÓƵ)
Wednesday, February 8, 2023 15:00to16:00
Burnside Hall
Room 920, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA
Title: Tits alternative for the 3-dimensional tame automorphism group
Abstract: Let k be a field of characteristic 0. The tame automorphism group Tame(k^3) is the group generated by the affine maps of k^33 and the maps of form (x, y, z) → (x, y, z+P(x, y)). We prove the strong Tits alternative for Tame(k^3), using its action on a 2-dimensional
CAT(0) complex. This is joint work with Stéphane Lamy.