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Results tagged with tannakian-category
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user 11682
8
votes
Is there a ``path'' between any two fiber functors over the same field in Tannakian formalism?
The obstruction to the existence of such an isomorphism is a (bi)torsor, that has been studied in various real-life situations. An example extracted from
On the relation between Nori Motives and Kon …
- 4,008
6
votes
Accepted
automorphism of fibre functors
Yes they are.
In fact the formation of ${\rm Aut}_S(\omega)$ commutes by definition with base change, so you can reduce to $S=k$, and $S\to k={\rm id}$.
Then the fact that the $k$-group morphism $G\to …
- 4,008
9
votes
Accepted
Exact sequences of groups and Tannakian formalism
About your main question I suggest looking at Appendix A in
On Nori's Fundamental Group Scheme
Hélène Esnault, Phùng Hô Hai, Xiaotao Sun
Geometry and dynamics of groups and spaces, 377–398, Progr. M …
- 4,008
24
votes
The algebraic version of Riemann-Hilbert correspondence
As the previous answer points out you have to consider local systems for a finer topology than the Zariski topology. It is natural to consider the étale topology. The category of étale local systems o …
- 4,008