J. Duncan will explain how the works of Andrew Ogg—especially
his questions—have guided the maturation of moonshine from its
inception to the present, and continue to shape its future
perspective.
Ogg’s celebrated conjecture can be paraphrased as saying that
rational points (on the modular curves that parametrize torsion
points on elliptic curves) exist if and only if there is a good
geometric reason for them to exist. Ogg’s mathematical...
Ogg’s celebrated conjecture can be paraphrased as saying that
rational points (on the modular curves that parametrize torsion
points on elliptic curves) exist if and only if there is a good
geometric reason for them to exist. Ogg’s mathematical...