For the 60-th birthday of Lou van den Dries, a workshop was organized at the Fields institute. This was also an excellent occasion to give a tutorial on the book “Asymptotic Differential Algebra and Model Theory of Transseries”. The tutorial contains five parts, which can be found below.

Occasion: 60-th birthday conference of Lou van den Dries, Fields institute, Toronto, August 2–6, 2016

Documents: TeXmacs source for parts I and III

• Part I (by Joris van der Hoeven): introduction to transseries

• Part II (by Matthias Aschenbrenner): asymptotic differential algebra, statement of the main results

• Part III (by Joris van der Hoeven): the differential newton polygon method

• Part IV (by Matthias Aschenbrenner): newtonization, strategy for the proof of the main results, applications

• Part V (by Lou van den Dries): further thoughts on transseries and valued differential fields