北京雁栖湖应用数学研究院 北京雁栖湖应用数学研究院

  • 关于我们
    • 院长致辞
    • 理事会
    • 协作机构
    • 参观来访
  • 人员
    • 管理层
    • 科研人员
    • 博士后
    • 来访学者
    • 行政团队
  • 学术研究
    • 研究团队
    • 公开课
    • 讨论班
  • 招生招聘
    • 教研人员
    • 博士后
    • 学生
  • 会议
    • 学术会议
    • 工作坊
    • 论坛
  • 学院生活
    • 住宿
    • 交通
    • 配套设施
    • 周边旅游
  • 新闻
    • 新闻动态
    • 通知公告
    • 资料下载
关于我们
院长致辞
理事会
协作机构
参观来访
人员
管理层
科研人员
博士后
来访学者
行政团队
学术研究
研究团队
公开课
讨论班
招生招聘
教研人员
博士后
学生
会议
学术会议
工作坊
论坛
学院生活
住宿
交通
配套设施
周边旅游
新闻
新闻动态
通知公告
资料下载
清华大学 "求真书院"
清华大学丘成桐数学科学中心
清华三亚国际数学论坛
上海数学与交叉学科研究院
BIMSA > Seminar on Algebraic, Complex Geometry and Singularities NEW k-TH YAU ALGEBRAS OF ISOLATED HYPERSURFACE SINGULARITIES
NEW k-TH YAU ALGEBRAS OF ISOLATED HYPERSURFACE SINGULARITIES
组织者
丘成栋
演讲者
Naveed Hussain
时间
2023年02月24日 21:00 至 21:45
地点
Online
摘要
Let V be a hypersurface with an isolated singularity at the origin defined by the holomorphic function f:(Cn, 0) → (C, 0). The Yau algebra L(V) is defined to be the Lie algebra of derivations of the moduli algebra A(V):= On/(f, ∂f ∂x1 , · · · , ∂f ∂xn ), i.e., L(V) = Der(A(V), A(V)). It is known that L(V) is a finite dimensional Lie algebra and its dimension λ(V) is called Yau number. In this talk, we will discuss a new series of Lie algebras, i.e., k-th Yau algebras L k (V), k ≥ 0, which are a generalization of Yau algebra. L k (V) is defined to be the Lie algebra of derivations of the k-th moduli algebra Ak(V):= On/(f, mkJ(f)), k ≥ 0, i.e., L k (V) = Der(Ak (V), Ak (V)), where m is the maximal ideal of On. The k-th Yau number is the dimension of L k (V) which we denote as λ k (V). These numbers λ k (V) are new numerical analytic invariants of singularities. I will also present several published results with Professor Stephen Shing Toung Yau and Huaiqing Zuo which is really important to study the Lie algebra and singularity theory.
演讲者介绍
Dr. Naveed Hussain did his Master degree in pure mathematics from Government College University Faisalabad from 2013-2015. He started his PhD under the Supervision of Professor Stephen Shing Toung Yau (2015-2019) and his area of research are Lie algebras and Singularity Theory. Now he is working as Assistant Professor at Department of Mathematics and Statistics, University of Agriculture Faisalabad, Pakistan.
北京雁栖湖应用数学研究院
CONTACT

No. 544, Hefangkou Village Huaibei Town, Huairou District Beijing 101408

北京市怀柔区 河防口村544号
北京雁栖湖应用数学研究院 101408

Tel. 010-60661855
Email. administration@bimsa.cn

版权所有 © 北京雁栖湖应用数学研究院

京ICP备2022029550号-1

京公网安备11011602001060 京公网安备11011602001060