|HERMANN WEYL LECTURES|
|Topic:||The Ax Conjecture and Degenerations|
|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.