etale fundamental group

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- Tags: - #todo/untagged - Refs: - Course notes: http://www.math.columbia.edu/~phlee/CourseNotes/EtaleFundamental.pdf#page=7 #resources/course-notes - Links: - #todo/create-links


etale fundamental group

attachments/Pasted%20image%2020220404005805.png attachments/Pasted%20image%2020220404005919.png See also fiber functor

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Idea: \({ \mathsf{Gal}} (k^{ {}^{ \operatorname{sep} } }_{/ {k}} ) \cong \pi_1^\text{ét}(\operatorname{Spec}k, \mkern 1.5mu\overline{\mkern-1.5mux\mkern-1.5mu}\mkern 1.5mu)\) for \(\mkern 1.5mu\overline{\mkern-1.5mux\mkern-1.5mu}\mkern 1.5mu\) a geometric point?

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Relation to topological fundamental group

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#todo/untagged #resources/course-notes #todo/create-links