CORDIS Project
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This project aims to develop a comprehensive theory of real multiplication, paralleling the established theory of complex multiplication. It focuses on analytic, computational, and geometric aspects, particularly in relation to cryptography and number theory applications.
This project will develop several aspects of a theory of real multiplication (RM), seeking to be a counterpart of the theory of complex multiplication (CM) discovered in the 19th century.
Classical CM theory is famed for its beauty and elegance, and is important in a variety of contexts.
For instance: (1) in the classical era, it arose in the context of explicit class field theory.
This feature is the subject of Kronecker's Jugendtraum and Hilbert's 12th problem,(2) in the modern era, it has be…
UNIVERSITEIT LEIDEN
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