Local monodromy on the non-archimedean punctured disc Prof. Lorenzo Ramero Universite Bordeaux I, France. 04-07-05 Abstract I will discuss the structure of the fundamental group of a punctured disc (viewed as an analytic variety D^*) defined over a p-adic field of characteristic zero. The main result is a "slope decomposition" for local systems on the etale site of D^*, analogous to the slope decomposition of an l-adic representation of the absolute Galois group of a local field of characteristic p>0.
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