中科院数学与系统科学研究院
数学研究所
学术报告
拓扑研讨班
报告人：胡润杰 （纽约州立大学）
题 目：Galois Symmetry and Manifolds
时 间：2024.06.12（星期三）11:00-12:00
地 点：数学院南楼N602
摘 要：It is known that two complex algebraic varieties can be algebraically isomorphic but not homeomorphic. Such examples can be obtained by changing the coefficients of the defining equations by some automorphism of the ground field. In this talk, I will illustrate some new results in understanding how the entire Galois group of Q-bar, the algebraic closure of the rationals Q, changes the underlying manifold structures of smooth complex varieties defined by equations with coefficients in Q-bar.
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