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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...
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...
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...
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...
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...
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 ...
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 ...
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 $\mathcal{M}$,...
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...
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.
Let A be a connected commutative C-algebra with derivation D,G a finite linear automorphism group of A which preserves D, and R = AG the fixed point subalgebra of A under the action of G. We show that...
In this paper we start to examine the relevance of the signature of the metric of space-time, on the construction of the product of the pseudo-Riemannian spectral triple with a finite triple describin...
Let M be a commutative monoid. We provide an explicit first-order formular that defines the variety generated by M in the lattice of commutative semigroup varieties.

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