Time: 13:00-14:00, Friday, June 20 2025
Venue: E4-233
Speaker: Yu Mao, University of Exeter
Title: The m-step Solvable Mono-anabelian Geometry of Number fields (joint work with Mohamed Saidi)
Abstract: In this talk, we establish a group-theoretic algorithm, to reconstruct a number field together with its maximal m-step solvable extension from the maximal m+ 7-step solvable quotient of its absolute Galois group. Moreover, if the number field is an imaginary quadratic field or Q, we establish a group-theoretic algorithm to reconstruct that field from the maximal 4-step solvable quotient of its absolute Galois group.
