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| Speaker: |
Alain Connes, College de France, Paris |
| Title: |
The Arithmetic Site
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| 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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 |
 |
G |
ruppo di |
R |
icerca |
E |
uropeo |
F |
ranco- |
I |
taliano in |
GE |
ometria |
N |
on |
CO |
mmutativa |
| roupement de |
echerche |
uropéen |
ranco |
talien en |
ométrie |
on |
mmutative |
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