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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

2 votes
0 answers
111 views

Tannakian recovery of a group from other tensor abelian categories

Classical Tannakian reconstruction recovers an affine group scheme $G$ over $k$ from the category of its linear representations over a field $k$ (as the automorphism group of the forgetful functor to …
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6 votes
1 answer
629 views

Tannakian-type reconstruction of étale fundamental group

I am interested in knowing which natural categories of its representations the étale fundamental group of a scheme can be recovered from. Suppose $X$ is a scheme. Let $\pi_1^\text{ét}(X)$ be its étale …
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  • 83