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The functor of points

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If you have a question about this talk, please contact Sean Moss.

The functor of points is a way of defining schemes without going through locally ringed spaces. The essential idea is to replace points in the classical sense with generalised elements, i.e. morphisms whose domain need not be point-like in any sense, de-emphasising the special role of prime ideals and fields in the traditional approach.

No prior knowledge of scheme theory will be required for this talk, but one should at least know some basic facts about commutative rings.

This talk is part of the Junior Category Theory Seminar series.

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