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The m-step Solvable Mono-anabelian Geometry of Number fields (joint work with Mohamed Saidi)

2025-06-19 16:50:59

时间: 2025年6月20日(周五)13:00-14:00

地点: E4-233


主讲人: Yu Mao, University of Exeter

讲座主题: The m-step Solvable Mono-anabelian Geometry of Number fields (joint work with Mohamed Saidi)

讲座摘要: 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.