Minimal limit key polynomials

par Prof. Josnei Novacoski (Universidade Federal de São Carlos)

mercredi 8 nov. 2023, 14:00 → 15:00 Europe/Paris

salle Pellos (207) (IMT, bât 1R2)

 In this talk we will introduce the theory of minimal limit key polynomials. We will discuss their relation with well-known topics of research. Namely, we will describe how to characterize dependent and independent defect extensions of prime degree in terms of minimal limit key polynomials. We also will describe how to characterize when the module of Kahler differentials of pure extension of valuation rings is trivial, using the theory of minimal limit key polynomials.