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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
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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：Generalization of Graph Neural Networks and Graph Structural Learning for Robust Representation
图神经网络 泛化 图结构学习 鲁棒表示
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2023/4/18
This report consists of two parts associated with graph neural networks: generalization and graph structural learning. We first study the Rademacher complexity of GNNs, as one of independent-algorithm...
Defining neural ‘representation’（图）
神经“表征” 神经科学 大脑内部 电活动
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2023/7/7
One of neuroscience’s greatest challenges is to bridge the gaps between the external environment, the brain’s internal electrical activity, and the abstract workings of behavior and cognition. Many ne...
Basic Hopf Algebras of Finite Representation Type and Their Classification
Basic Hopf Algebras Finite Representation Type Their Classification
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2018/4/20
Let k be a algebraically closed field. We give a necessary and sufficient condition for a basic Hopf algebra over k to be finite representation type. Explicitly, we prove that a basic Hopf algebra ove...
2018群表示论及其应用研讨会（Introductory Workshop:Group Representation Theory and Applications）
2018 群表示论及其应用 研讨会
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2017/12/20
The workshop will survey various important and active areas of the representation theory of finite and algebraic groups, and introduce the audience to several basic open problems in the area. It will ...
2017年表象理论与数理物理研讨会（Workshop:Representation Theory and Mathematical Physics 2018）
2017年 表象理论与数理物理 研讨会
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2017/12/20
From January 2 to January 6, 2018 there will be the workshop on "Representation Theory and Mathematical Physics 2018" taking place at the AIMS, Kigali, Rwanda.
The aim of the workshop is to present i...
2017年对称群和相关代数的表示论研讨会（2017 International Workshop on Representation Theory of Symmetric Groups and Related Algebras）
2017年 对称群和相关代数的表示论 研讨会
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2017/11/24
This 10-day workshop is devoted to the representation theory of symmetric groups and related algebras.The representation theory of symmetric groups and related algebras is a vibrant and dynamic resear...
国际学术会议“Workshop on Weighted Projective Spaces and Representation Theory”在中国科学技术大学召开（图）
Workshop on Weighted Projective Spaces and Representation Theory 中国科学技术大学
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2016/3/24
为促进加权射影空间与代数表示理论方面的前沿学术交流，2016年3月5日，国际学术会议“Workshop on Weighted Projective Spaces and Representation Theory”在中国科学技术大学数学科学学院召开。与会代表四十余人，包括著名代数学家Osamu Iyama、Henning Krause、Helmut Lenzing和Claus Michael R...
Experience and Representation in Modern Physics: The Reshaping of Space
Space Modern Physics
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2016/3/1
The paper discusses the interplay of experience and representation in disciplinarily structured science using the example of the fundamental changes in the concepts of space and time brought about by ...
THE CONNECTION BETWEEN REPRESENTATION THEORY AND SCHUBERT CALCULUS
CONNECTION BETWEEN REPRESENTATION SCHUBERT CALCULUS
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2015/12/17
Our aim here is to describe a direct and natural connection between the representation theory of GLn and the Schubert calculus, which goes via the Chern-Weil
theory of characteristic classes. Indeed,...
THE ACTION OF THE MAPPING CLASS GROUP ON REPRESENTATION VARIETIES
MAPPING CLASS GROUP REPRESENTATION VARIETIES
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2015/12/17
These notes are based on lectures given at Zhejiang University, July 14–20, 2008. My goal was to present some analytic techniques that can be used to study the action of the mapping class group on the...
COHOMOLOGY OF U(2,1) REPRESENTATION VARIETIES OF SURFACE GROUPS
U(2,1) REPRESENTATION VARIETIES SURFACE GROUPS
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2015/12/17
In this paper we use the Morse theory of the Yang-Mills-Higgs functional on the singular space of Higgs bundles on Riemann surfaces to compute the equivariant cohomology of the space of semistable U(2...
THE VOLUME AND CHERNSIMONS INVARIANT OF A REPRESENTATION
VOLUME CHERNSIMONS INVARIANT
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2015/12/17
We give an e
ient simpli
ial formula for the volume and ChernSimons invariant of a boundary-paraboli
PSL(2,C)representation of a tame
3manifold
THE RING OF PROJECTIVE INVARIANTS OF EIGHT POINTS ON THE LINE VIA REPRESENTATION THEORY
PROJECTIVE INVARIANTS EIGHT POINTS ON THE LINE VIA
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2015/10/14
The ring of projective invariants of eight ordered points on the line is a quotient of the polynomial ring on V , where V is a fourteen-dimensional representation of S8, by an ideal I8, so the modular...
Quantization of bending deformations of polygons in E3,hypergeometric in tegrals and the Gassner representation
bending deformations of polygons E3 hypergeometric in tegrals the Gassner representation
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2015/10/14
Quantization of bending deformations of polygons in E3,hypergeometric in tegrals and the Gassner representation.