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

Date: 
Thursday 15th April 2010 - 14:00 to 14:20
Venue: 
INI Seminar Room 1
Abstract: 
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.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons