搜索结果: 1-15 共查到“代数几何学”相关记录451条 . 查询时间(1.171 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 ...
肖水晶，男，1975年9月出生，副教授，硕士生导师，博士研究生学历，2014年6月博士毕业于南昌大学。联系方式：xiaoshuijing@ncu.edu.cn。中国计算机数学学会理事，中国高等教育学会数学专委会理事。主要从事实代数、算法实代数几何与符号计算等领域的研究，已在多项式优化、多元多项式半定性的判定、零维系统有理单元表示的计算、无限维实零点定理等方面取得了一些成果。主持（含完成）国家自然科...
朱玉灿，男，1963年出生，硕士研究生，教授。1984年7月毕业于中山大学数学系，获学士学位。1989年7月毕业于中山大学数学系，获硕士学位。长期从事科学研究与教学工作，多次获得福州大学优秀教师的称号。福建省精品课程《高等数学》负责人，福州大学数学公共基础课教学团队负责人。已主持并完成福建省自然科学基金项目3项，福建省教育厅项目3项，福州大学科技发展基金1项。现主持福建省教育厅基金项目《推广的框架...
陈神灿，男，1964年生，无党派人士，研究生学历，教授，硕士研究生导师。曾担任中学数学教学工作达6年（1981年8月—1987年8月），1990年6月获东北师范大学理学硕士学位，从1990年7月起至今一直在高等学校担任大学本科数学教学工作和研究生的教学工作。1993年7月评为讲师；1999年7月评为副教授；2005年7月晋升教授。
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...