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Which of the following are prerequisites if I want to learn algebraic geometry, cohomology, sheaf theory, and all those things?
>Measure Theory and Integration
>Group Theory
>Rings and Fields
>Set Theory
>Topology
>Category Theory
>Functional Analysis 1&2
>Ordinary Differential Equations 1&2
>Graph Theory 1&2
>Partial Differential Equations 1&2
>Matrix Theory and Linear Algebra 1&2
I can do 7, so im thinking
>Measure Theory and Integration
>Group Theory
>Rings and Fields
>Topology
>Category Theory
>Functional Analysis 1&2
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>Group Theory
To know abelian groups;
>Rings and Fields
To know the cohomology rings, and to construct modules;
>Topology
To motivate cohomology, to use in geometry and the ring spectra;
>Category Theory
All the things you mentioned use at least functors and other stuff borrowed from category theory.
I don't think measure theory is too helpful, but I don't know algebraic geometry, and functional analysis is probably not required either, but you should take at least that measure theory.
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>>8541117
Woop-woop! That's the sound of da /pol/ice!
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Linear algebra is a req for most of those, so unless it's super advanced linear algebra and you've taken LA before, then that one
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>>8541134
That linear algebra is pretty basic, i already know everything covered. Should have removed it from the list
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>>8541117
All thr Equations are needed for algeom. Its basicly what its about.
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