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Jim Humphreys
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What areis the possible usufulnessusefulness of étale topology and cohomology apart from the resolution of the Weil conjecture ?

My question is as stated in the title:

What areis the possible usufulnessusefulness of étale topology and cohomology apart from the resolution of the Weil conjecture ?

I am particularly interested to know if it's reasonably possible to deduce results in areaareas like 3 and 4 manifolds topology or Kähler geometry from this machinery. Has anyone ever tried ?

What are the possible usufulness of étale topology and cohomology apart from the resolution of the Weil conjecture ?

My question is as stated in the title:

What are the possible usufulness of étale topology and cohomology apart from the resolution of the Weil conjecture ?

I am particularly interested to know if it's reasonably possible to deduce results in area like 3 and 4 manifolds topology or Kähler geometry from this machinery. Has anyone ever tried ?

What is the possible usefulness of étale topology and cohomology apart from the resolution of the Weil conjecture ?

My question is as stated in the title:

What is the possible usefulness of étale topology and cohomology apart from the resolution of the Weil conjecture ?

I am particularly interested to know if it's reasonably possible to deduce results in areas like 3 and 4 manifolds topology or Kähler geometry from this machinery. Has anyone ever tried ?

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christian
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What are the possible usufulness of étale topology and cohomology apart from the resolution of the Weil conjecture ?

My question is as stated in the title:

What are the possible usufulness of étale topology and cohomology apart from the resolution of the Weil conjecture ?

I am particularly interested to know if it's reasonably possible to deduce results in area like 3 and 4 manifolds topology or Kähler geometry from this machinery. Has anyone ever tried ?