Galois theory,named after Évttiste Galois, is a fundamental theory in algebra and number theory, which provides a connection between field theory and group theory. In the 1960s, A.Grothendieck developed a new formulation of Galois theory which provides a geometric Mray to study classical Galois theory and the fundamental group of algebraic topology in the setting of algebraic geollnetry. In this talk, I will explain Grothendieck's Galois theory and focus on the anabelian geometry of curves, which is a theory of arithmetic geometry proposed by Grothendieck in the 1980s, studying how much information of a space can be determined by its fundamental group. This talk will be given in Japanese.

この談話会は、東京理科大学総合研究院・現代代数学と異分野連携研究部門講演会と共催で行います。

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