Speaker:
Josnei Antonio Novacoski (University of Saskatchewan)

Title:
Reduction of local uniformization to the rank one case

Abstract:
The main result presented in this talk is that in order to prove the
local uniformization theorem for local rings it is enough to prove it
for rank one valuations. Our proof does not depend on the nature of the
class of local rings for which we want to prove local uniformization. We
prove also the reductions for different versions of the local
uniformization theorem.