搜索结果: 1-15 共查到“代数几何学”相关记录19条 . 查询时间(2.187 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On a Bogomolov type vanishing theorem
Bogomolov型 消失定理 代数几何
2023/11/29
The Bogomolv theorem holds great importance in algebraic geometry, particularly in the field of birational geometry. During this presentation, we will introduce our recent work on a variant of the Bog...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Kodaira-type and Bott-type vanishings via Hodge theory
Hodge理论 Kodaira型 Bott型消失
2023/11/13
I will first give a brief introduction to T. Mochizuki's Theory of twistor D-modules. Then, we use it to study Kodaira-type vanishings. In particular, we will generalize Saito vanishing, and give a Ka...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Cohen-Macaulay Auslander algebra of string algebras
串代数 Cohen—Macaulay—Auslander代数 拓扑 同调
2023/11/13
In these two talks, some results on derived representation type via topological and homological methods will be introduced: (1) Two geometric models for graded skew-gentle algebras will be introduced ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The study of derived representation type via topological and homological methods
拓扑 同调 派生表示类型
2023/11/13
In these two talks, some results on derived representation type via topological and homological methods will be introduced: (1) Two geometric models for graded skew-gentle algebras will be introduced ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An algebraic framework for geometrically continuous splines
几何 连续样条 代数框架
2023/11/6
Geometrically continuous splines are piecewise polynomials defined on a collection of patches stitched together through transition maps. In this talk, we introduce an algebraic framework to study geom...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Two families of $n$-rectangle nonconforming finite elements for sixth-order elliptic equations
六阶椭圆方程 矩形 有限元族
2023/4/13
We propose two families of nonconforming finite elements on $n$-rectangle meshes of any dimension to solve the sixth-order elliptic equations. The unisolvent property and the approximation ability of ...
We revisit the Harder-Narasimhan stratification on a minuscule padic flag variety, by the theory of modifications of G-bundles on the FarguesFontaine curve. We compare the Harder-Narasimhan strata wit...
仿射Deligne-Lusztig簇首先由Rapoport引入。其几何结构蕴含了志村簇重要的算术信息。不可约分支的参数化问题是仿射Deligne-Lusztig簇研究领域的一个主要的公开问题。为了解决这一难题, 陈苗芬和朱歆文提出了一个著名猜想：不可约分支的轨道集与Weyl模的特定权空间的晶体基之间存在典则的一一对应。通过构造不可约分支上的晶体结构，我们给出了陈-朱猜想的完整证明，并得到了计算不可...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Geometric aspects of integrable systems
可集成系统 几何方面 多组件可积系统
2023/4/26
Invariant geometric flows in certain geometries have been studied extensively from different points of view. In this talk, we are mainly concerned with geometric aspects of multi-component integrable ...
无穷集上多项式优化的齐次化方法
无穷集 多项式优化 齐次化方法
2023/1/5
This paper considers polynomial optimization with unbounded sets. We give a homogenization formulation and propose a hierarchy of Moment-SOS relaxations to solve it. Under the assumptions that the fea...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Algebro-geometric solutions to the Bogoyavlensky lattice 2(3) equations
博戈亚夫连斯基格2（3）方程 代数几何解 四边形曲线理论
2023/5/5
The theory of tetragonal curves is established and first applied to the study of algebro-geometric quasi-periodic solutions of discrete soliton equations. Using the zero-curvature equation and the dis...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Morrison-Kawamata cone conjecture for Calabi-Yau fiber spaces
Calabi-Yau fiber spaces 莫里森-川俣 锥猜想
2023/5/9
In this talk, I will explain the relationship between the Morrison-Kawamata cone conjecture for Calabi-Yau fiber spaces and the existence of Shokurov polytopes. For K3 fibrations, this enables us to e...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Special cycles on Shimura varieties and theta series
下村品种 θ系列 特殊循环
2023/5/17
In this talk I will introduce special and generalized cycles on Shimura varieties and discuss how to use them to construct geometric and arithmetic theta series. Then I will briefly discuss the connec...
中国科学院数学物理学部莫毅明院士（图）
中国科学院数学物理学部 多复变函数论 复微分几何 代数几何 莫毅明 院士
2022/9/8
数学家，长期致力于多复变函数论、复微分几何与代数几何研究。1956年5月生于香港。1978年于美国耶鲁大学获硕士学位。1980年于美国斯坦福大学获博士学位。2015年当选为中国科学院院士。
中国科学院数学物理学部李骏院士（图）
中国科学院数学物理学部 代数几何模空间 李骏 院士
2022/9/8
基础数学代数几何学家，从事代数几何模空间方向的研究。1961年3月出生于上海。1982年毕业于复旦大学，1984年获该校硕士学位，1989年获哈佛大学博士学位。2021年当选为中国科学院院士。