By David Sauzin
I will review the definition of the algebra A of simple Z-resurgent series and its alien derivations $\Delta_m$, as given by Jean Ecalle in 1981. In particular, I will recall why one can say that the alien derivations are independent in a strong sense. Then I will explore one consequence of the freeness of the Lie algebra generated by the $\Delta_m$'s under commutators and multiplication by elements of A: since we have so many derivations (although we are dealing with a formal series of _one_ variable), one can construct non-trivial Poisson structures on A and, correspondingly, non-commutative deformations of the product of A.
By Maxim Kontsevich
By Maxim Kontsevich
By Philip Boalch
By Kohei Iwaki
By Maxim Kontsevich
By Maxim Kontsevich
By Jorgen Ellegaard Andersen
By Sergei Gukov
By William Mistegard
By Jorgen Andersen
By Jorgen Andersen
By Veronica Fantini
By Tamara Kucherenko
By Ronnie Pavlov
By Ronnie Pavlov
By Tamara Kucherenko
