A celebrated theorem of Neukirch and Uchida states that the isomorphy type of a global field is functorially encoded in the isomorphy type of its absolute Galois group. The Birational anabelian Grothendieck conjecture predicts that a similar result holds for all finitely generated fields, this has been verified by Pop. In a recent joint work with Tamagawa we prove that the isomorphy type of a global field is functorially encoded in the isomorphy type of its 4-step solvable Galois group. We also prove a similar result for all finitely generated fields, in all characteristics. In my talk I will state precisely our results, review our proof in the number field case, and discuss the key ingredients of the proof in higher dimensions.
Freitag, den 29. November 2019 um 13:30 Uhr, in INF 205, SR A Freitag, den 29. November 2019 at 13:30, in INF 205, SR A
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Alexander Schmidt