Tori are cool. Varieties are dope. Fans are… related somehow? Prepare to dive into the world of Toric Varieties, which are varieties with a torus embedded inside. We’ll see how lots of our favourite examples of varieties are actually toric varieties, and also how a Toric Variety can be defined from the combinatorial data of a fan (the type used in the 18th century on a hot day). I’ll define everything, but having taken AG1 or knowing what Spec(R) is for a ring R will be an advantage.
The spectral theorem and projection valued measures II