WHAT IS...a Shimura Variety?

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What is a Shimura Variety?

Most mathematicians have encountered modular functions. For example, when the group theorists discovered the monster group, they were surprised to find that the degrees of its irreducible representations were already encoded in the q-coefficients of the j-function. The theory of Shimura varieties grew out of the applications of modular functions and modular forms to number theory. Roughly speak...

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ژورنال

عنوان ژورنال: Notices of the American Mathematical Society

سال: 2012

ISSN: 0002-9920,1088-9477

DOI: 10.1090/noti923