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2018算子代数中的逼近性质及遍历理论研讨会（Workshop on Approximation Properties in Operator Algebras and Ergodic Theory）
2018 算子代数中的逼近性质及遍历理论 研讨会
2017/12/20
Modeling non-commutative phenomena in finite dimensional matrix algebras is a central theme of the program Quantitative Linear Algebra. This workshop will focus on a variety of concrete questions aro...
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
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...
PRECONDITIONING TECHNIQUES IN FRAME THEORY AND PROBABILISTIC FRAMES
Parseval frame Scalable frame Fritz John Theorem Probabilistic frames frame potential continuous frames
2015/12/10
In this chapter we survey two topics that have recently been investigated in frame theory. First, we give an overview of the class of scalable frames.These are (finite) frames with the property that e...
On the spectral theory of Rickart Ordered *-algebras
spectral theory Rickart Ordered *-algebras
2011/2/25
RO-algebras are defined and studied. For RO-algebra T , using properties of partial order, it is established that the set of bounded elements can be endowed with C-norm. The structure of commutativ...
An Invariant Theory of Spacelike Surfaces in the Four-dimensional Minkowski Space
Invariant Theory Spacelike Surfaces
2010/11/23
We consider spacelike surfaces in the four-dimensional Minkowski space and introduce geometrically an invariant linear map of Weingarten-type in the tangent plane at any point of the surface under con...
Loewner Theory in annulus I: evolution families and differential equations
Loewner Theory differential equations
2010/11/23
Loewner Theory, based on dynamical viewpoint, is a powerful tool in Complex Analysis, which plays a crucial role in such important achievements as the proof of famous Bieberbach's conjecture and well...
Let $C^*(E)$ be the graph $C^*$-algebra associated to a graph E and let J be a gauge invariant ideal in $C^*(E)$. We compute the cyclic six-term exact sequence in $K$-theory of the associated extensio...
Cyclotomic Temperley-Lieb algebra of type D and its representation theory
Cyclotomic Temperley-Lieb algebra representation theory
2010/11/23
We define a new class of algebras, cyclotomic Temperley-Lieb algebras of type D, in a diagrammatic way, which is a generalization of Temperley-Lieb algebras of type D. We prove that the cyclotomic Te...
Applications of the quadratic covariation differentiation theory: variants of the Clark-Ocone and Stroock's formulas
the quadratic covariation differentiation theory the Clark-Ocone and Stroock's formulas
2010/11/11
In a 2006 article (\cite{A1}), Allouba gave his quadratic covariation differentiation theory for It\^o's integral calculus. He defined the derivative of a semimartingale with respect to a Brownian mo...
The goal of this paper is to set up an obstruction theory in the context of algebras over an operad and in the framework of differential graded modules over a field. Precisely, the problem we conside...
Proof of the Borwein-Broadhurst conjecture for a dilogarithmic integral arising in quantum field theory
the Borwein-Broadhurst conjecture dilogarithmic integral arising quantum field theory
2010/11/8
Borwein and Broadhurst, using experimental-mathematics techniques, in 1998 identified numerous hyperbolic 3-manifolds whose volumes are rationally related to values of various Dirichlet L series $\te...
Ultraproducts of Tannakian Categories and Generic Representation Theory of Unipotent Algebraic Groups
Ultraproducts of Tannakian Categories Representation Theory Unipotent Algebraic Groups
2010/11/9
The principle of tannakian duality states that any neutral tannakian category is tensorially equivalent to the category Rep_k G of finite dimensional representations of some affine group scheme G and ...
Extremal maps in best constants vector theory - Part I: Duality and Compactness
Extremal maps constants vector theory - Part I
2010/11/11
We develop a comprehensive study on sharp potential type Riemannian Sobolev inequalities of order 2 by means of a local geometric Sobolev inequality of same kind and suitable De Giorgi-Nash-Moser est...
Diagrammatic Kazhdan-Lusztig theory for the (walled) Brauer algebra
Diagrammatic Kazhdan-Lusztig theory Brauer algebra
2010/12/9
We determine the decomposition numbers for the Brauer and walled Brauer algebra in haracteristic zero in terms of certain polynomials associated to cap and curl diagrams (recovering a result of Martin...
An Algebraic Duality Theory for Multiplicative Unitaries
Algebraic Duality Theory Multiplicative Unitaries
2010/10/29
Multiplicative Unitaries are described in terms of a pair of commuting shifts of relative depth two. They can be generated from ambidextrous Hilbert spaces in a tensor C*-category. The algebraic anal...