搜索结果: 1-15 共查到“数学 Complexes”相关记录37条 . 查询时间(0.031 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Unstable homotopy groups of indecomposable A_3^2-complexes
不可分解 A_3^2 配合物 不稳定 同伦群
2023/4/14
In this talk, I will introduce the methods for calculating the unstable homotopy groups of finite CW-complexes which builds on works of the relative James construction initiated by B. Gray in 1973 and...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bounded Poincaré maps for BGG complexes
BGG复形 有界 Poincaré映射
2023/5/10
Poincaré integral operators give explicit potential and provide an inverse of differential operators in the sense of null-homotopy. These operators play a key role in the mathematical and numerical an...
三亚国际数学论坛：Curvatures of Graphs,Simplicial Complexes and Metric Spaces（Curvatures of Graphs,Simplicial Complexes and Metric Spaces ）
三亚国际数学论坛 Curvatures of Graphs Simplicial Complexes Metric Spaces
2017/1/10
Curvature is a notion originally developed in differential and Riemannian geometry. It was then discovered that curvature inequalities in Riemannian manifolds are equivalent to other geometric propert...
Beginning with the conjecture of Artin and Tate in 1966, there has been a series of
successively more general conjectures expressing the special values of the zeta function
of an algebraic variety o...
Motivic complexes over finite fields and the ring of correspondences at the generic point
fi nite fi elds generic point
2015/12/10
Already in the 1960s Grothendieck understood that one could obtain an almost
entirely satisfactory theory of motives over a finite field when one assumes the Tate
conjecture. In this not...
Small time heat kernel behavior on Riemannian complexes
Riemannian complexes kernel behavior
2015/8/26
We study how bounds on the local geometry of a Riemannian
polyhedral complex yield uniform local Poincar′e inequalities. These
inequalities have a variety of applications, including bounds on the he...
A g-element for a graded R-module is a one-form with properties similar to a Lefschetz class in the cohomology ring of a compact complex projective manifold, except that the induced multiplication map...
Sharp vanishing thresholds for cohomology of random flag complexes
Sharp vanishing thresholds cohomology random flag complexes Algebraic Topology
2012/7/11
We exhibit a sharp threshold for vanishing of rational cohomology in random flag complexes, providing a generalization of the Erd\H{o}s-R\'enyi theorem. As a corollary, almost all d-dimensional flag c...
Square complexes and simplicial nonpositive curvature
Square complexes simplicial nonpositive curvature Group Theory
2011/9/16
Abstract: We prove that each nonpositively curved square VH-complex can be turned functorially into a locally 6-large simplicial complex of the same homotopy type. It follows that any group acting geo...
Distance Functions, Critical Points, and Topology for Some Random Complexes
Distance function critical points Morse index Cech complex Poisson process central limit theorem Betti numbers
2011/9/20
Abstract: For a finite set of points $P$ in $R^d$, the function $d_P:R^d \to R_+$ measures Euclidean distance to the set $P$. We study the number of critical points of $d_P$ when $P$ is random. In par...
Cousin complexes and applications
Cousin complexes uniform local cohomological annihilator Cohen-Macaulay locus local cohomology attached primes
2011/9/1
Abstract: In this thesis, the class of modules whose Cousin complexes have finitely generated cohomologies are studied as a subclass of modules which have uniform local cohomological annihilators and ...
Discrete conservation laws and port-Hamiltonian systems on graphs and complexes
conservation laws port-Hamiltonian systems graphs and complexes Optimization and Control
2011/9/1
Abstract: In this paper we present a unifying geometric framework for modeling various sorts of physical network dynamics as port-Hamiltonian systems. Basic idea is to associate with the incidence mat...
d-Representability of simplicial complexes of fixed dimension
Combinatorics d-Representability fixed dimension
2011/8/26
Abstract: Let K be a simplicial complex with vertex set V = {v_1,..., v_n}. The complex K is d-representable if there is a collection {C_1,...,C_n} of convex sets in R^d such that a subcollection {C_{...
Stochastic Homology. Reduction Formulas for Computing Stochastic Betti Numbers of Maximal Random Complexes with Discrete Probabilities. Computation and Applications
Stochastic Homology Stochastic Betti Numbers Maximal Random Complexes Algebraic Topology
2011/8/25
Abstract: Given a chain complex with the only modi?cation that each cell of the complex has a probability distribution assigned. We will call this complex - a random complex and what should be underst...
On the electron scattering on the one-dimensional complexes: the vertex array method
electron scattering one-dimensional complexes vertex array method
2011/2/21
The problem of electron scattering on the one-dimensional complexes is considered. We present a novel theoretical approach to solution of the transport problem for a quantum graph.