3 ms·
Can you people stop with the inane pedantry? Yes, the derivative is a geometric concept and so is the inner product; they are at the core of what a Riemannian
by ykonstant 2y ago
Can you people stop with the inane pedantry? Yes, the derivative is a geometric concept and so is the inner product; they are at the core of what a Riemannian manifold is, they group to form the (co)tangent spaces of varieties and schemes and their derived structures produce the local geometric data of the object in question.
- lupire 2y agoThe point is that the derivative is a more general concept than just geometric, and is naturally defined with or without a geometric comtext. Of course almost anything can be modeled geometrically. You can draw a picture of almost anything. The integers themselves are obviously geometric, by drawing a kindergarten number line. https://en.m.wikipedia.org/wiki/Langlands_program https://en.m.wikipedia.org/wiki/Langlands_program
- ykonstant 2y agoThis is all semantic nonsense that devalues the original post I made about a potential connection between two arithmetic-geometric objects. But thanks for patronizing me, a research mathematician actually working on the arithmetic Langlands program, with a wikipedia link to the fucking Langlands program.
- bandrami 2y agoHuh? Inner product only needs vectors. No geometry required.