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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Local Method for Compositional Inverses of Permutation Polynomials
置换 多项式复合逆 局部方法
2023/4/18
In this talk, we will talk about a local method to find compositional inverses of all PPs, some new PPs and their compositional inverses are given.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Higher dimensional Heegaard Floer homology and Hecke algebras
高维 希加德弗洛尔同调 赫克代数
2023/4/18
Higher dimensional Heegaard Floer homology (HDHF) is a higher dimensional analogue of Heegaard Floer homology in dimension three. It's partly used to study contact topology in higher dimensions. In a ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On Lehmer's problem
莱默问题 代数闭包 小Weil高度
2023/4/19
Let x be an algebraic number. Lehmer's problem predicts that the product of the degree of x and the Weil height of x is bounded by an absolute constant. The basic idea to tackle this problem is to stu...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：多重斜正交多项式和多分量pfaff格
多重 斜正交多项式 多分量 pfaff约束
2023/4/26
本报告将从pfaffian恒等式出发，讲述关于多分量pfaff格的发现，这其中包含了很多著名的经典可积方程，如DKP方程的贝克隆变换所对应的方程。之后，将从多分量pfaff格的解构造一族多重斜正交多项式。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Vanishing of some algebraic cycles on powers of Shimura curves
志村曲线 幂 代数 循环消失
2023/4/27
For a smooth projective variety over a number field, the Beilinson—Bloch conjecture predicts that Chow groups of algebraic cycles modulo rational equivalence can be determined using cohomological data...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the subadditivity of generalized Kodaira dimensions (Part I)
广义 小平维度 子加性
2023/5/5
In these series of talks, we will focus on the study of the Iitaka conjecture, which predicts the subadditivity of Kodaira dimensions for any algebraic fiber space. In the first part, we recall some b...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The algebraic incarnations of the Artin Vanishing
Artin 消失 代数化身
2023/5/16
The non-abelian Hodge theory, briefly can be viewed as building a correspondence between certain topological objects, analytic objects, and algebraic objects. In this talk, I will show that Kodaira-ty...