## Canonical coordinates for Calabi Yau manifolds I

Sean Keel

University of Texas, Austin; Member, School of Mathematics

March 1, 2017

In the two talks, aimed at a broad mathematical audience, I'll explain my conjecture, joint with Gross, Hacking, and Siebert, which says, informally, that if you live on a Calabi Yau, your world comes with an intrinsic global positioning system. More precisely: that the coordinate ring comes with a canonical vector space basis, such that the structure constants for the multiplication rule are given by counts of rational curves (on the mirror).