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revised What are the higher homotopy groups of a K3 suface?
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answered What are the higher homotopy groups of a K3 suface?
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asked Is there a non-abelian version of the Torelli map?
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revised Why is there no Brauer scheme?
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revised What are some geometric / physical / probabilistic interpretations of the Riemann zeta function at integer arguments n ≤ 1?
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comment What are some geometric / physical / probabilistic interpretations of the Riemann zeta function at integer arguments n ≤ 1?
on the "in some sense": the -1/12 in string theory is related to the fact that the discriminant function $\Delta$ is modular of weigth 12. It is this fact which is directly related to the Euler characteristic of the moduli of elliptic curves by a first Chern class argument.
Mar
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answered What are some geometric / physical / probabilistic interpretations of the Riemann zeta function at integer arguments n ≤ 1?
Mar
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comment Hodge Decompositions and Gamma Factors of Hasse--Weil L-Functions
Another point: maybe Gamma factors at the Archimedean places are most easily undestood on the automorphic side of the story. I am certainly not an expert of these questions and I hope someone else will say more.
Mar
29
comment Hodge Decompositions and Gamma Factors of Hasse--Weil L-Functions
About the date 1991: from what I understand, the story of the Deninger interpretation is somewhat involved: it is motivated by p-adic Hodge theory and not directly by the usual formulation of Hodge theory.
Mar
29
comment Hodge Decompositions and Gamma Factors of Hasse--Weil L-Functions
The only motivation I see in the paper of Serre is that Gamma factors appear in the known examples (number fields, modular curves...) It would be great if someone could say if Serre had more conceptual motivations, I don't know.