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Thursday 19 Feb 2015The plectic Taniyama group

Chris Blake - University of Cambridge

H103 15:00-16:00

I will discuss recent work which develops the theory of complex multiplication in the setting of Nekovar and Scholl’s "plectic motives". I will provide plenty of motivation to explain the need for such a theory, and give an explicit description of the plectic analogue of the Taniyama group. This generalises a theorem of Deligne in the classical case, and explains the ‘hidden symmetries’ in the classical theory of complex multiplication observed by Nekovar.

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