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Unfortunately the "geometry" involved is not the kind of geometry that lends itself towards being easily drawn to give understanding. If you had to draw a pi
by langlands 5y ago
Unfortunately the "geometry" involved is not the kind of geometry that lends itself towards being easily drawn to give understanding.
If you had to draw a picture of it, it would just be a sphere (since it shares many properties with a genus 0 complex curve).
But it's a very different beast than usual geometric shapes. A lot of modern number theory is motivated by an analogy between "p and t", where t is a parameter in a polynomial like t^2 - 2, and where p is a prime number. This space takes the analogy to an extreme where p literally is the parameter for the space[0], like t would be a parameter for the real line.
[0]Not exactly true - true for the "disk" cover of the FF curve.