Seminar series
Date
Thu, 12 Jun 2014
Time
16:00 -
17:00
Location
L5
Speaker
Christopher Lazda
Organisation
Imperial College London
If X/F is a smooth and proper variety over a global function field of
characteristic p, then for all l different from p the co-ordinate ring of the l-adic
unipotent fundamental group is a Galois representation, which is unramified at all
places of good reduction. In this talk, I will ask the question of what the correct
p-adic analogue of this is, by spreading out over a smooth model for C and proving a
version of the homotopy exact sequence associated to a fibration. There is also a
version for path torsors, which enables me to define an function field analogue of
the global period map used by Minhyong Kim to study rational points.