CMI Workshop: Rational Curves and Diophantine Problems over Function Fields
Workshop Outline: Rational Points and Rational Curves
There is a well-known and very strong analogy between the existence and properties of rational points on varieties defined over number fields (or over finite fields, p-adic fields, etc.) and the existence and properties of rational curves on complex varieties. One example of this is the Lang conjecture together with its conjectural converse. Historically "rational curve" results have been far simpler than the analogous "rational point" results. This workshop will bring together experts in both types of results to discuss what has been proved on the rational points side of the picture, and possible directions for future research on rational curves inspired by questions about rational points.
A second purpose is to bring together experts to investigate a very focused question. more....
Friday, November 2
Saturday, November 3
Sunday, November 4