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第一届冬季数学高级研讨会（First Winter Workshop on Advanced Topics in Mathematics:Commutative Algebra and Banach Space Theory）
第一届 冬季数学 高级研讨会
2017/12/20
This four-day workshop is devoted to discuss advanced topics from commutative algebra and Banach space theory. The theme of this workshop is twofold: parallel series of lectures will be delivered in c...
What is this course about? The foundations of di erential geometry (=
study of manifolds) rely on analysis in several variables as \local machinery": many
global theorems about manifolds are reduced...
Non-commutative Hodge structures
Non-commutative Hodge structure Fourier-Laplace transformation Brieskorn lattice
2011/9/23
Abstract: This article gives a survey of recent results on a generalization of the notion of a Hodge structure. The main example is related to the Fourier-Laplace transform of a variation of polarizab...
On the derived category of a graded commutative noetherian ring
Localizing subcategories graded ring weighted projective scheme
2011/9/20
Abstract: For any graded commutative noetherian ring, where the grading group is abelian and where commutativity is allowed to hold in a quite general sense, we establish an inclusion-preserving bijec...
Decompositions of commutative monoid congruences and binomial ideals
Decompositions of commutative monoid congruences binomial ideals Commutative Algebra
2011/9/19
Abstract: We demonstrate how primary decomposition of commutative monoid congruences fails to capture the essence of primary decomposition in commutative rings by exhibiting a more sensitive theory of...
Sampling in Spaces of Bandlimited Functions on Commutative Spaces
Sampling bandlimited functions reproducing kernel Hilbert spaces Gelfand pairs commutative spaces representation theory
2011/9/19
Abstract: A connected homogeneous space X=G/K is called commutative if G is a connected Lie group, $K$ is a compact subgroup and the B*-algebra L^1(X)^K of K-invariant integrable function on X is comm...
Krall-Laguerre commutative algebras of ordinary differential operators
Krall-Laguerre commutative algebras ordinary differential operators Classical Analysis and ODEs
2011/9/15
Abstract: In 1999, Grunbaum, Haine and Horozov defined a large family of commutative algebras of ordinary differential operators which have orthogonal polynomials as eigenfunctions. These polynomials ...
Self-adjoint commuting differential operators and commutative subalgebras of the Weyl algebra
Self-adjoint commuting differential operators commutative subalgebras the Weyl algebra Mathematical Physics
2011/9/13
Abstract: In this paper we give enough conditions when the operator of the fourth order included in a commutative ring of ordinary differential operators of rank 2 is formally self-adjoint. In the cas...
Non-commutative Hodge structures: Towards matching categorical and geometric examples
Non-commutative Hodge structures matching categorical geometric examples Algebraic Geometry
2011/9/9
Abstract: The subject of the present work is the "de Rham part" of non-commutative Hodge structures on the periodic cyclic homology of differential graded algebras and categories. We discuss explicit ...
Property (T) with respect to non-commutative Lp-spaces
Haagerup non-commutative Lp(M)-spaces property (T) group representations Mazur map
2011/8/29
Abstract: We show that a group with Kazhdan's property $(T)$ has property $(T_{B})$ for $B$ the Haagerup non-commutative $L_{p}(\mathcal{M})$-space associated with a von Neumann algebra $\mathcal{M}$,...
Non-commutative tomography: A tool for data analysis and signal processing
Non-commutative tomography data analysis signal processing
2011/8/2
Abstract: Tomograms, a generalization of the Radon transform to arbitrary pairs of non-commuting operators, are positive bilinear transforms with a rigorous probabilistic interpretation which provide ...
Universal equivalence of partially commutative metabelian Lie algebras
Lie algebras Universal equivalence Rings and Algebras
2011/8/23
Abstract: In this paper, we find a criterium for universal equivalence of partially commutative Lie algebras whose defining graphs are trees. Besides, we obtain bases for partially commutative metabel...
Extreme commutative quantum observables are sharp
commutative quantum non-commutativity the limitations of PVMs Quantum Physics
2011/7/29
Abstract: It is well known that, in the description of quantum observables, positive operator valued measures (POVMs) generalize projection valued measures (PVMs) and they also turn out be more optima...
On commutative, operator amenable subalgebras of finite von Neumann algebras
On commutative operator amenable subalgebras finite von Neumann algebras
2011/2/23
An open question, raised independently by several authors, asks if a closed amenable subalgebra of B(H) must be similar to an amenable C-algebra; the question remains open
even for singly-generated ...
In this paper, linear bases for the partially commutative Lie alge-bras are found. The method of the Gr¨obner–Shirshov bases is used.