Tame automorphism group
Groups acting on CAT(0) spaces September 27, 2016 - September 30, 2016
Location: MSRI: Simons Auditorium
CAT(0) space
Riemannian geometry
polynomials and algebraic geometry
Jacobians
automorphism groups
non-positive curvature
Symmetric space
group actions
buildings and complexes
57-XX - Manifolds and cell complexes {For complex manifolds, see 32Qxx}
58D05 - Groups of diffeomorphisms and homeomorphisms as manifolds [See also 22E65, 57S05]
20F29 - Representations of groups as automorphism groups of algebraic systems
14R10 - Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem)
14611
We study the group of polynomial automorphisms of C^3 generated by affine maps and all (x,y,z)->(x+P(y,z),y,z). We exhibit a contractible hyperbolic 2-complex on which that group acs. We also find a loxodromic weakly properly discontinuous element. This is joint work with Stephane Lamy
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14611
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