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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
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：Topological materials: concept, theory, prediction, and detection
拓扑材料 固体物理学 量子霍尔效应
2023/4/17
物理学中许多概念是在不断地发展中的。例如人们对光、电子等的理解与它们刚开始出现时的概念已经发生了许多进化，而固体物理学中的“绝缘体”概念也是如此。近三十年来，量子霍尔效应的相关研究不仅催生了拓扑序这一新的物相分类，也推动了拓扑绝缘体这一新兴研究领域的诞生和发展。随着量子自旋霍尔效应、拓扑晶体绝缘体等工作的后续展开，人们意识到对称性可以带来新的拓扑态，同时也不断地在“普通绝缘体”中发现新的拓扑态。这...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Topological optimization and the stable commutator length
拓扑优化 稳定换向器 长度
2023/4/19
It is a relatively recent discovery in geometric topology that optimization problems of certain topological complexity are connected to important geometric and topological information. One example is ...
Topological materials, an exotic class of materials whose surfaces exhibit different electrical or functional properties than their interiors, have been a frontier of research in the past decade — a f...
Nanomolding of topological nanowires could speed the discovery of new materials for applications such as quantum computing, microelectronics and clean-energy catalysts, according to an APL Materials P...
What will it take to make our electronics smarter, faster, and more resilient? One idea is to build them from materials that are topological.
Topology stems from a branch of mathematics that studies ...
Researchers find topological phenomena at high technologically relevant frequencies（图）
高技术 相关频率 拓扑现象
2023/7/11
New research published in Nature Electronics describes topological control capabilities in an integrated acoustic-electronic system at technologically relevant frequencies. This work paves the way for...
Jones polynomial and knot transitions in Hermitian and non-Hermitian topological semimetals
Hermitian Topological semimetal Junction Transition
2023/1/4
Topological nodal line semimetals can host stable chained, linked, or knotted line degeneracies in momentum space protected by symmetries. In this talk, I will show how to use the Jones polynomial (wh...
DEFINING GEOSPATIAL DATA FUSION METHODS BASED ON TOPOLOGICAL RELATIONSHIPS
Geospatial Data Fusion Topological Data Model 3D GIS Anchor Node IndoorGML
2018/11/9
Currently, geospatial datasets are produced in various models and formats in accordance with the spatial scale of the real world such as ground/ surface/underground or indoor/outdoor. The location-bas...
UNIFIED TOPOLOGICAL FRAMEWORK FOR RETRIEVING 2D AND 3D MULTI-SCALE SPATIAL INFORMATION
Topological connectivity CityGML 3D building multi-scale LoD 2D and 3D model
2018/11/9
Different applications or users need different model (differ requirement on level of details; geometry and information), less focuses in topological element. Improper manage geometry, attribute and to...
CELL COMPLEXES TOPOLOGICAL LINKS FOR BUILDINGS IN CITYGML
CityGML 3D Topology 3D City Model
2018/11/9
Topology has served as the foundation for analysis in modelling cities and buildings. CityGML as an international standard for 3D city modelling utilises a simple ‘topology-incidence’ which links conn...
TOPOLOGICAL 3D ELEVATION DATA INTERPOLATION OF ASTER GDEM BASED ON CONTINUOUS DEFORMATION
Homotopy continuation 3D Data Interpolation DEM Optimization
2018/11/9
In Geographic Information Science, polynomial methods such as linear estimation and non-polynomial methods including Inverse Distance Weighting and Kriging have been used for elevation data interpolat...
第七届辛几何和拓扑场论高级研讨会（The Seventh Advanced Seminar in Symplectic Geometry and Topological Field Theory）
第七届 辛几何和拓扑场论 高级研讨会
2017/4/24
Beijing International Center for Mathematical Research (BICMR) locates on the north Shore of Weiming Lake on the campus of Peking University. Sponsored by the national government of China, BICMR is de...
Artificial topological matter opens new research directions
Artificial topological matter opens
2017/4/27
An international team of researchers have created a new structure that allows the tuning of topological properties in such a way as to turn on or off these unique behaviors. The structure could open u...
Gray tin exhibits novel topological electronic properties in 3D
Gray tin novel topological electronic properties 3D
2017/4/27
In a surprising new discovery, alpha-tin, commonly called gray tin, exhibits a novel electronic phase when its crystal structure is strained, putting it in a rare new class of 3D materials called topo...