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285 results on '"Osipov, D."'

17. Tools for evaluating the competitiveness of innovative clusters

Author

Akhunzhanova I. N., Tomashevskaya Yu. N., and Osipov D. V.

Subjects
innovation cluster, regional cluster, evaluation of competitiveness, cluster projects, silicon saxony, Regional economics. Space in economics, HT388
Abstract

Federal programmes to support regional clusters in Russia were introduced several years ago. Today, they need updating and revision. A promising starting point for effective support for hi-tech and innovative clusters may be an evaluation of cluster performance aimed to understand whether further development and financing of cluster projects are required and whether the list of supported clusters should be extended or reduced. This article analyses the case of the Silicon Saxony innovation cluster (Germany), using the World Bank’s methodology for cluster competitiveness evaluation. Each analysis tool is provided with concrete data obtained for Germany and the Silicon Saxony cluster over the past ten years. Competitive clusters considered in the analysis are Minalogic in Grenoble (France) and Micro- and nanosystems in Catania (Italy). The results of employing the methodology are examined from the perspective of its possible use in evaluating the competitiveness of innovative clusters in the Russian Federation. Early recommendations on adapting the methodology are produced.

Published
2020
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23. The environment as a source of formation of hazards for humans.

Author

Grigorieva, E., Babaeva, A., and Osipov, D.

Subjects
HAZARDS, HUMAN ecology, MODERN society, TECHNOLOGICAL progress, LIVING conditions
Abstract

The article discusses the main dangers to humans from the environment. It also analyzes the sources and causes of hazards, predicts and evaluates their impact on humans and the environment. Methods of ensuring comfortable living conditions for people, protecting people and the environment from harmful factors. At present, in the conditions of modern society, the issues of life safety have sharply escalated and have taken on the characteristic features of the problem of human survival. A person has faced dangers since the moment of his appearance. At first, these were natural hazards, but with the development of human society, technogenic ones were added to them, i.e. those born of technology. Scientific and technological progress, along with benefits, has brought incalculable disasters to both man and the environment. The person himself is a source of danger. By his actions or inaction, he can create a real threat to life and health for himself and others. [ABSTRACT FROM AUTHOR]

Published
2023
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34. Formal Bott-Thurston cocycle and part of a formal Riemann-Roch theorem

Author

Osipov, D. V.

Subjects
Mathematics - Algebraic Geometry, FOS: Mathematics, Representation Theory (math.RT), Algebraic Geometry (math.AG), Mathematics - Representation Theory
Abstract

The Bott-Thurston cocycle is a $2$-cocycle on the group of orientation-preserving diffeomorphisms of the circle. We introduce and study a formal analog of Bott-Thurston cocycle. The formal Bott-Thurston cocycle is a $2$-cocycle on the group of continuous $A$-automorphisms of the algebra $A((t))$ of Laurent series over a commutative ring $A$ with values in the group $A^*$ of invertible elements of $A$. We prove that the central extension given by the formal Bott-Thurston cocycle is equivalent to the $12$-fold Baer sum of the determinantal central extension when $A$ is a $\mathbb Q$-algebra. As a consequence of this result we prove a part of new formal Riemann-Roch theorem. This Riemann-Roch theorem is applied to a ringed space on a separated scheme $S$ over $\mathbb Q$, where the structure sheaf of the ringed space is locally on $S$ isomorphic to the sheaf ${\mathcal O}_S((t))$ and the transition automorphisms are continuous. Locally on $S$ this ringed space corresponds to the punctured formal neighbourhood of a section of a smooth morphism to $U$ of relative dimension $1$, where an open subset $U \subset S$., 43 pages; minor changes; formulas, propositions, etc. are renumbered; to appear in Proceedings of the Steklov Institute of Mathematics

Published
2022

38. Formal Bott–Thurston Cocycle and Part of a Formal Riemann–Roch Theorem.

Author

Osipov, D. V.

Abstract

The Bott–Thurston cocycle is a -cocycle on the group of orientation-preserving diffeomorphisms of the circle. We introduce and study a formal analog of the Bott–Thurston cocycle. The formal Bott–Thurston cocycle is a -cocycle on the group of continuous -automorphisms of the algebra of Laurent series over a commutative ring with values in the group of invertible elements of . We prove that the central extension given by the formal Bott–Thurston cocycle is equivalent to the 12-fold Baer sum of the determinantal central extension when is a -algebra. As a consequence of this result we prove a part of a new formal Riemann–Roch theorem. This Riemann–Roch theorem is applied to a ringed space on a separated scheme over , where the structure sheaf of the ringed space is locally on isomorphic to the sheaf and the transition automorphisms are continuous. Locally on this ringed space corresponds to the punctured formal neighborhood of a section of a smooth morphism to of relative dimension , where is an open subset. [ABSTRACT FROM AUTHOR]

Published
2023
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