| HERMANN WEYL LECTURES | |
| Topic: | The Ax Conjecture and Degenerations |
| Speaker: | János Kollár |
| Affiliation: | Princeton University |
| Date: | Monday, March 12 |
| Time/Room: | 3:00pm - 4:00pm/S-101 |
Lecture 4. The Ax conjecture and degenerations.
Originating with his studies on the logic of finite fields, James Ax conjectured that every PAC field is $C_1$. The recent proof of this in characteristic 0 is connected with degenerations of rationally connected varieties. Work of Hacon, Hogadi, K., McKernan and Xu.