Pure Maths Colloquium: Elimination of wild ramification
5 February 2001 16:00 in CM221"In 1972 Epp proved a theorem asserting that in an arbitrary finite extension of discretely valued fields L/K one can eliminate wild ramification, i.e., to guarantee validity of e(k'L/k'K)=1 for some finite extension k'/k, where k is a constant subfield: maximal subfield of K with perfect residue field (k is canonical in the mixed characteristic case). In joint work with M. V. Koroteev we prove a variant of Epp's theorem, which asserts that for k'/k one can take a composite of a cyclic extension and an extension of some bounded degree. Moreover, the cyclic extension can be chosen inside any given deeply ramified extension of k, in particular inside any ramified Zp-extension."
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