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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 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 ...
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...
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...
The Seventh Advanced Seminar in Symplectic Geometry and Topological Field Theory
The Seventh Advanced Seminar Symplectic Geometry and Topological Field Theory
2017/3/28
The topics of the 7th Advanced Seminar in Symplectic Geometry and Topological Field Theory are 1) Givental's quantization formula and Teleman's classification of semisimple cohomological field theory;...
2017拓扑及相关事项戈登学术会议（The 2017 Gordon Research Conference on Topological & Correlated Matter）
2017 拓扑及相关事项戈登 学术会议
2017/1/11
Recent experimental discoveries of new classes of topological phases have challenged current understanding of topological phases of matter. Moreover, the scope of topological phases has been extended ...
TOPOLOGICAL SYMMETRY GROUPS OF COMPLETE GRAPHS IN THE 3-SPHERE
TOPOLOGICAL SYMMETRY THE 3-SPHERE
2015/12/17
The orientation preserving topological symmetry group of
a graph embedded in the 3-sphere is the subgroup of the automorphism
group of the graph consisting of those automorphisms which can be
induc...
TOPOLOGICAL SYMMETRY GROUPS OF GRAPHS IN 3-MANIFOLDS
GRAPHS IN 3-MANIFOLDS SYMMETRY GROUPS
2015/12/17
We prove that for every closed, connected, orientable, irreducible 3-manifold, there exists an alternating group An which is not
the topological symmetry group of any graph embedded in the manifold.
...
A Hybrid Variational Front Tracking-Level Set Mesh Generator For Problems Exhibiting Large Deformations and Topological Changes
Front Tracking Arbitrary-Lagrangian-Eulerian Mesh Method
2015/12/11
We present a method for generating 2-D unstructured triangular meshes that undergo large deformations and
topological changes in an automatic way. We employ a method for detecting when topological ch...
We show that Margulis spacetimes without parabolic
holonomy are topologically tame. A Margulis spacetime is the quotient of the 3-dimensional Minkowski space by a free proper isometric action of the ...
Topological components of spaces of representations
representations Topological components
2015/9/29
Let S be a closed oriented surface of genus g > 1 and let ~r denote its fundamental
group. Let G be a semisimple Lie group. The purpose of this paper is to investigate the global properties of the s...
A proof of Thurston's topological characterization of rational functions
Thurston's topological characterization rational functions
2015/8/26
The criterion proved in this paper was stated by Thurston in November 1982. Thurston lectured on its proof on several occasions, notably at the NSF summer conference inDuluth, 1983, where one of the a...
Topological finiteness for edge-vertex enumeration
Topological finiteness edge-vertex enumeration
2015/8/25
The number of PL-homeomorphism types of combinatorial manifolds in a fixed dimension with an upper bound on g2 is finite.
One of the foundations of oriented matroid theory is the topological representation theorem of Folkman and Lawrence [8]. It says that an oriented (simple) matroid can be realized uniquely as an arrang...