学术报告
A polynomial analogue of Mazur's torsion theorem
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时间： 2024-09-30
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题目：A polynomial analogue of Mazur's torsion theorem
报告人：Prof. Michael E. Zieve （University of Michigan）
摘要： I will show that, for any f(X) in Q[X], the induced function f:Q→Q is (≤6)-to-1 over all but finitely many values. After reinterpreting Mazur's torsion theorem as saying that any nonconstant rational map between genus-1 curves over Q is (≤16)-to-1 on rational points, I will discuss the possibility that Mazur's theorem is an instance of a much more general result about near-injectivity on rational points of any finite rational map between varieties over Q.
报告地点：教二楼727
联系人：蔡立、方江学
