Constantin Teleman's Books

Geometry and Quantization of Moduli Spaces

By: Vladimir Fock,Andrey Marshakov,Florent Schaffhauser,Constantin Teleman,Richard Wentworth

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Geometry and Quantization of Moduli Spaces

By: Vladimir Fock,Andrey Marshakov,Florent Schaffhauser,Constantin Teleman,Richard Wentworth

This volume is based on four advanced courses held at the Centre de Recerca Matemàtica (CRM), Barcelona. It presents both background information and recent developments on selected topics that are experiencing extraordinary growth within the broad research area of geometry and quantization of moduli spaces. The lectures focus on the geometry of moduli spaces which are mostly associated to compact Riemann surfaces, and are presented from both classical and quantum perspectives.

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230

Publisher

Birkhäuser

Published Date

ISBN 10

3319335782

ISBN 13

9783319335780

Topics in Modern Operator Theory

5th International Conference on Operator Theory, Timişoara and Herculane (Romania), June 2–12, 1980

By: Constantin,Douglas,Nagy,Voiculescu

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Topics in Modern Operator Theory

5th International Conference on Operator Theory, Timişoara and Herculane (Romania), June 2–12, 1980

By: Constantin,Douglas,Nagy,Voiculescu

The first of the annual Operator Theory conferences in Ti mi~oara held four years ago was a meeting of operator theory spe cialists from the National Institute for Scientific and Techni cal Creation in Bucharest and from the University of Timi~oara. Since then, the participation to these conferences has greatly increased, by being attended first by operator theorists from allover the country and (since 1978) by an increasing number of foreign mathematicians. Thus the 1980 Conference can be regarded as a truly international Operator Theory meeting, fifteen coun tries being represented at it. These conferences are conceived as a means to promote the cooperation between specialists in all areas of Operator Theory. Among the main topics in 1980 were: dilation theory, invariant subspaces, connections with the theory of cX-algebras, subnormal operators, multidimensional functional calculus etc. Though not included in this volume, we would like to mention that in 1980 some special sessions concerning other fields of Functional Ana lysis were organized at the Operator Theory conference. The research contracts of the Department of Mathematics of INCREST with the National Council for Sciences and Technoloa,y of Romania provided the means for developping the research activi ty in Functional Analysis; these contracts constitute the gene rous framework for these meetings.

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Page Count

327

Publisher

Birkhäuser

Published Date

ISBN 10

3034854560

ISBN 13

9783034854566

Geometric Dynamics

By: Constantin Udriște

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Geometric Dynamics

By: Constantin Udriște

The theme of this text is the philosophy that any particle flow generates a particle dynamics, in a suitable geometrical framework. It covers topics that include: geometrical and physical vector fields; field lines; flows; stability of equilibrium points; potential systems and catastrophe geometry; field hypersurfaces; bifurcations; distribution orthogonal to a vector field; extrema with nonholonomic constraints; thermodynamic systems; energies; geometric dynamics induced by a vector field; magnetic fields around piecewise rectilinear electric circuits; geometric magnetic dynamics; and granular materials and their mechanical behaviour. The text should be useful for first-year graduate students in mathematics, mechanics, physics, engineering, biology, chemistry, and economics. It can also be addressed to professors and researchers whose work involves mathematics, mechanics, physics, engineering, biology, chemistry, and economics.

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Page Count

416

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0792364015

ISBN 13

9780792364016

Convex Functions and Optimization Methods on Riemannian Manifolds

By: Constantin Udriste

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Convex Functions and Optimization Methods on Riemannian Manifolds

By: Constantin Udriste

The object of this book is to present the basic facts of convex functions, standard dynamical systems, descent numerical algorithms and some computer programs on Riemannian manifolds in a form suitable for applied mathematicians, scientists and engineers. It contains mathematical information on these subjects and applications distributed in seven chapters whose topics are close to my own areas of research: Metric properties of Riemannian manifolds, First and second variations of the p-energy of a curve; Convex functions on Riemannian manifolds; Geometric examples of convex functions; Flows, convexity and energies; Semidefinite Hessians and applications; Minimization of functions on Riemannian manifolds. All the numerical algorithms, computer programs and the appendices (Riemannian convexity of functions f:R ~ R, Descent methods on the Poincare plane, Descent methods on the sphere, Completeness and convexity on Finsler manifolds) constitute an attempt to make accesible to all users of this book some basic computational techniques and implementation of geometric structures. To further aid the readers,this book also contains a part of the folklore about Riemannian geometry, convex functions and dynamical systems because it is unfortunately "nowhere" to be found in the same context; existing textbooks on convex functions on Euclidean spaces or on dynamical systems do not mention what happens in Riemannian geometry, while the papers dealing with Riemannian manifolds usually avoid discussing elementary facts. Usually a convex function on a Riemannian manifold is a real valued function whose restriction to every geodesic arc is convex.

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Page Count

372

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0792330021

ISBN 13

9780792330028

Geometry and Quantization of Moduli Spaces

By: Vladimir Fock,Andrey Marshakov,Florent Schaffhauser,Constantin Teleman,Richard Wentworth

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Geometry and Quantization of Moduli Spaces

By: Vladimir Fock,Andrey Marshakov,Florent Schaffhauser,Constantin Teleman,Richard Wentworth

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Solve jigsaw puzzle

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Page Count

230

Publisher

Birkhäuser

Published Date

ISBN 10

3319335782

ISBN 13

9783319335780

Book's by Constantin Teleman

Geometry and Quantization of Moduli Spaces

Geometry and Quantization of Moduli Spaces

Topics in Modern Operator Theory

Topics in Modern Operator Theory

Geometric Dynamics

Geometric Dynamics

Convex Functions and Optimization Methods on Riemannian Manifolds

Convex Functions and Optimization Methods on Riemannian Manifolds

Geometry and Quantization of Moduli Spaces

Geometry and Quantization of Moduli Spaces

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