CRM: Centro De Giorgi
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Seminari di Sistemi Dinamici Olomorfi 2013-2014

seminar: Explicit linearization of germs through tree-expansions

speaker: David Sauzin (CNRS)

abstract: We explain Ecalle's "arborescent mould formalism'' in its simplest instance, showing how it allows one to give explicit formulas for various operators naturally attached to a germ of holomorphic map in 1 dimension. When applied to the classical linearization problem of non-resonant germs, this elegant and concise tree formalism yields an compact formula, from which one easily recovers the classical analytical result of convergence of the solution under a suitable arithmetical condition on the multiplier


timetable:
Thu 20 Feb, 14:30 - 15:30, Sala Conferenze Centro De Giorgi
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