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The local reciprocity map: finding an explicit formula for a canonical isomorphism

Newton , R (Cambridge)
Thursday 15 April 2010, 14:00-14:20

Seminar Room 1, Newton Institute


I will start by defining the p-adic numbers, the classic example of a local field. I will go on to state the existence of the local reciprocity map and describe the cases for which an explicit formula has been found. I will end by trying to explain what makes it difficult to compute local reciprocity in the remaining cases.

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