Giovedì, 18 aprile 2024, alle ore 16:00, in aula F del Dipartimento, il Dottor  Konstantinos Kartas (IMJ-PRG, Paris) terrà un seminario dal titolo 

On C_i fields 

Abstract: Given i a natural number, a field k is called C_i if every homogeneous polynomial over k of degree d in more than d^i variables has a non-trivial zero. Emil Artin had famously conjectured that the field of p-adic numbers Q_p is C_2. While this was refuted by Terjanian, an appropriate asymptotic version for p going to infinity was proved by Ax-Kochen. In a somewhat orthogonal direction, we fix p but instead let the ramification go to infinity. We show that any maximal totally ramified extension of Q_p is C_1. 

Le proponenti

Paola D’Aquino e Anna De Mase  

(responsabile: Anna De Mase)