The p-adic uniformization of some curves

Pan Lue, Princeton University
Fine Hall 314

The classical uniformization theorem classifies Riemann surfaces according to their universal covers, and thus provides an important tool for the study of Riemann surfaces (curves over complex numbers). In the p-adic world, similar results hold for some classes of curves. In this talk, I want to show how Tate did this for some elliptic curves and how Mumford generalized it to curves of higher genus.