Abstract
For the 60th 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: 60th 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