ON A GEOMETRIC DESCRIPTION OF Gal(Q̄p/Qp) AND A p-ADIC AVATAR OF ĜT
نویسنده
چکیده
We develop a p-adic version of the so-called Grothendieck-Teichmüller theory (which studies Gal(Q̄/Q) by means of its action on profinite braid groups or mapping class groups). For every place v of Q̄, we give some geometrico-combinatorial descriptions of the local Galois group Gal(Q̄v/Qv) inside Gal(Q̄/Q). We also show that Gal(Q̄p/Qp) is the automorphism group of an appropriate π1-functor in p-adic geometry.
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تاریخ انتشار 2003