Surreal derivations

Alessandro Berarducci (Universita' di Pisa)

Frank Adams 2,

Several authors have conjectured that Conway’s field of surreal numbers, equipped with the exponential function of Kruskal and Gonshor, can be described as a field of transseries and admits a compatible differential structure of Hardy-type. In a joint work with Vincenzo Mantova we give a complete positive solution to both problems. We also show that with this new differential structure, the surreal numbers are Liouville closed, namely the derivation is surjective.

Import this event to your Outlook calendar
▲ Up to the top