搜索结果: 1-15 共查到“群论 Groups”相关记录150条 . 查询时间(0.047 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rigidity results in mapping class groups and homeomorphism groups
映射类群 同胚群 刚性结果
2023/11/13
Mapping class groups and homeomorphism groups are symmetry groups of surfaces and all manifolds. They are usually very rigid, in the sense that their automorphism groups only consist of conjugation. I...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the lowest two-sided cells of affine Weyl groups
仿射Weyl群 最低双侧胞 Kazhdan-Lusztig基
2023/12/11
In this talk, I will present a proof a decomposition formula of Kazhdan-Lusztig basis for the elements in the lowest two-sided cell of an affine Weyl group. This formula can be used to determine the l...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Morse boundaries of Groups
群 Morse边界 群论
2023/5/17
The Morse boundary of a proper geodesic metric space is a generalization of the Gromov boundary of a hyperbolic space. It is a quasi-isometry invariant to study "hyperbolic directions" in the space. T...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fourier analysis on finite abelian groups and the uncertainty principles
有限阿贝尔群 傅里叶分析 不确定性原理
2023/4/18
Let G be a finite abelian group. If f: G → C is a nonzero function with Fourier transform f , the Donoho-Stark uncertainty principle states that|supp(f)||supp(f )|≥|G|. The purpose of this talk is two...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：First-Order Aspects of Coxeter Groups
考克斯特群 一阶方面 非阿贝尔自由群
2023/5/5
Since the work of Sela, and Kharlampovich & Myasnikov on Tarski’s problem for non-abelian free groups, the model theoretic analysis of classes of groups arising from combinatorial and geometric group ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On open subgroups of p-adic algebraic groups
p-adic 代数群 开子群
2023/5/5
In this talk, I will breifly introduce the p-aidc number, p-aidc manifolds, p-adic algebraic groups and p-aidc definable groups. Using an elementary method, I will show that every open subgroup of a c...
FRAME POTENTIAL AND FINITE ABELIAN GROUPS
tight frame frame potential finite abelian group sampling
2015/12/10
This article continues a prior investigation of the authors with the goal of extending characterization results of convolutional tight frames from the context of cyclic groups to general finite abelia...
CASIMIR OPERATORS AND MONODROMY REPRESENTATIONS OF GENERALISED BRAID GROUPS
CASIMIR OPERATORS MONODROMY REPRESENTATIONS GENERALISED BRAID GROUPS
2015/10/14
Let g be a complex, simple Lie algebra with Cartan subalgebra h and Weyl group W . We construct a one parameter family of flat connections ∇κ on h with values in any finite–dimensional g–moduleV...
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties
Artin groups,projective arrangements fundamental groups smooth complex algebraic varieties
2015/10/14
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties.
Let G be a semisimple, simply connected, algebraic group defined over R. The set of real points G of G is not necessarily topologically simply connected, in which case G admits a non–trivial covering ...
Duality for Nonlinear Simply Laced Groups
Local Langlands Conjecture nonlinear groups Kazhdan-Lusztig theory
2015/9/28
We establish a character multiplicity duality for a certain natural class of nonlinear (nonalgebraic) groups arising as two-fold covers of simply laced real reductive algebraic groups. This allows us ...
Groups of automorphisms of trees and their limit sets
Groups automorphisms trees limit sets
2015/8/26
Let T be a locally finite simplicial tree and let ! ⊂ Aut(T ) be a finitely generated discrete subgroup. We obtain an explicit formula for the critical exponent of the Poincare series associated...
Word maps with small image in simple groups
Word maps with small image simple groups Group Theory
2012/6/25
We construct non-power words which have small image in SL(2; 22n) for each n. In particular, the corresponding word maps are non-surjective. We also use this to construct word maps whose values are pr...
The homological finiteness length of a group G is the maximal length (counting from 0) of a partial resolution by finitely generated projective modules of the trivial ZG-module Z. It is closely relate...
Golod-Shafarevich groups: a survey
Golod-Shafarevich groups subgroup growth class field tower problem Burnside problem
2012/6/19
In this paper we survey the main results about Golod-Shafarevich groups and their applications in algebra, number theory and topology.