Title: p-adic period map for the Lubin Tate moduli space.

Abstract: We consider a one-dimensional formal group F
over a finite field k. According to Lubin and Tate,
the deformation functor of F is representable by the ring
of formal power series over W(k)  in h-1 variables,
where h is the height of F. Then the set of *-isomorphism
classes of deformations of F over W(k) is in one-to-one
correspondence with the product of h-1 copies of pW(k).
On the other hand, this set can be expressed in terms of
the Dieudonne theory. To be more precise, it is the set
of orbits with respect to the action of the multiplicative
group of W(k) in the subset of the Dieudonne module D of
the formal group F consisting of elements which generate
D as a module. These two interpretations are connected
by the p-adic period map. It is bijective and equivariant
with respect to the right action of the automorphism
group of F. We manage to prove an explicit formula for
this map which is an essencial generalisation of the
formula obtained by Gross and Hopkins.