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學術專區

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演講
活動開始時間2018-03-12 11:00:00
活動結束時間2018-03-12 12:00:00
活動名稱學術演講-Fundamental Group -- the Intertwine of Arithmetic and Geometry
主講者Dr. Lei Zhang (FREIE UNIVERSITÄT BERLIN)
活動地點綜合三館4F Lecture Room B
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備註Abstract

In this talk I am going to present the beautiful theory of fundamental groups in algebraic and arithmetic geometry. I will start by recalling the fundamental group of a topological space and the Galois group of a field. Then I will explain a striking analogy between these two groups which come from geometry and number theory respectively. Next, I will introduce the étale fundamental group in algebraic arithmetic geometry which is an analogy of the topological fundamental group and which is a generalization of the Galois group. Finally, I will explain Grothendieck's anabelian program which arises naturally from the study of fundamental groups, and then I will present a recent result of M. Romagny, F. Tonini, and me in this direction.
最後更新日期2018-02-23 16:42:40
20161228
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