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Speaker: Alain Connes, College de France, Paris
Title: The Arithmetic Site
Abstract: We show that the non-commutative geometric approach to the Riemann zeta function has an algebraic geometric incarnation: the ``Arithmetic Site". This site involves the tropical semiring viewed as a sheaf on the topos dual to the multiplicative semigroup of positive integers. We realize the Frobenius correspondences in the square of the ``Arithmetic Site".
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