THE TWELFTH COLLOQUIUMFEST

Speaker: Florian Pop (University of Pennsylvania, USA)

Title: "The Oort Conjecture on lifting covers of curves"

Abstract:
The Oort Conjecture on lifting covers of curves
asserts that Galois G-covers of projective smooth curves
in characteristic p>0 can be lifted to a Galois G-covers
of projective smooth curves in characteristic zero, provided
all the inertia groups of the cover are cyclic. I will give
a sketch of the proof of this conjecture, by employing among
other things a very recent special case of the conjecture
resolved by Obus-Wewers.