|Responsables :||S. Anscombe, L. Patey, A. Vignati|
|Email des responsables :||email@example.com, firstname.lastname@example.org|
|Adresse :||Sophie Germain|
|Orateur(s)||Philip Dittmann - TU Dresden,|
|Titre||Around existential theories of fields|
|Horaire||15:15 à 16:15|
I will discuss some results on existential theories of fields, with a focus on decidability questions. This is motivated partly by Hilbert's Tenth Problem (on the solvability of diophantine equations) and partly by general model-theoretic concerns. Questions covered will include the (non-)transfer of existential decidability up and down finite field extensions, and consequences for complete discretely valued fields in mixed characteristic.