Gérard Laumon

Shrawan Kumar

Ulrich Stuhler

The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics. It deals with: 1. The relation between conformal blocks and generalised theta functions (Lectures by S. Kumar) 2. Drinfeld Shtukas (Lectures by G. Laumon) 3. Drinfeld modules and Elliptic Sheaves (Lectures by U. Stuhler) The latter topics are useful in connection with Langlands programme for function fields. The contents of the book would give a comprehensive introduction of these topics to graduate students and researchers.

Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.), held in Cetraro (Cosenza), Italy, June 19-27, 1995

Vector Bundles on Curves - New Directions

Despite the apparently distinct differences between the disciplines of ergonomics and rehabilitation, they deal with the same issues, although at different ends of the spectrum. Keeping this in mind, Ergonomics for Rehabilitation Professionals explores their philosophies and goals, their parallel, divergent, and complementary aspects. It traces the origin of each field and examines the role of ergonomics in rehabilitation. The book begins with a theoretical and conceptual review of ergonomics and its role in rehabilitation. It covers anthropometry and its impact on human biomechanics, allowing readers to grasp complex concepts, visualize what forces are acting where, and understand the consequence of this force. A chapter on tissue mechanics provides an understanding of the effect of the overall load on the tissues and a rationale for possible mechanisms of injury that can be used to design prevention and treatment methods. The book explores the relevant physiological issues, looking at the energy cost of activities and the data on strength and endurance. It discusses whole body biomechanics using an approach that supplies intuitive understanding of the effects of force, gravity, and physiological variables in an integrated manner. Addressing theoretical underpinnings with scientific rigor, the book covers a broad range of topics, always emphasizing design in rehabilitation. The editor's organization of the material develops concepts in concentric circles with increasing radii, sequencing ideas and exploring them from simple to complex. This selection of topics from two vast and seemingly diverse disciplines provides the tools for setting realistic goals and developing the strategies to achieve them.

Ergonomics for Rehabilitation Professionals

Topics Include: industrial ergonomics, risk, accidents and accident prevention, safety and surveillance, posture perception, cognitive ergonomics, telerobotics, military occupational ergonomics, and international ergonomics.

Advances In Industrial Ergonomics And Safety IV

Kac-Moody Lie algebras 9 were introduced in the mid-1960s independently by V. Kac and R. Moody, generalizing the finite-dimensional semisimple Lie alge bras which we refer to as the finite case. The theory has undergone tremendous developments in various directions and connections with diverse areas abound, including mathematical physics, so much so that this theory has become a stan dard tool in mathematics. A detailed treatment of the Lie algebra aspect of the theory can be found in V. Kac's book [Kac-90l This self-contained work treats the algebro-geometric and the topological aspects of Kac-Moody theory from scratch. The emphasis is on the study of the Kac-Moody groups 9 and their flag varieties XY, including their detailed construction, and their applications to the representation theory of g. In the finite case, 9 is nothing but a semisimple Y simply-connected algebraic group and X is the flag variety 9 /Py for a parabolic subgroup p y C g.

Kac-Moody Groups, their Flag Varieties and Representation Theory

Prabhākara Mācave

Hindi Short Stories

This is the first monograph to exclusively treat Kac-Moody (K-M) groups, a standard tool in mathematics and mathematical physics. K-M Lie algebras were introduced in the mid-sixties independently by V. Kac and R. Moody, generalizing finite-dimensional semisimple Lie algebras. K-M theory has since undergone tremendous developments in various directions and has profound connections with a number of diverse areas, including number theory, combinatorics, topology, singularities, quantum groups, completely integrable systems, and mathematical physics. This comprehensive, well-written text moves from K-M Lie algebras to the broader K-M Lie group setting, and focuses on the study of K-M groups and their flag varieties. In developing K-M theory from scratch, the author systematically leads readers to the forefront of the subject, treating the algebro-geometric, topological, and representation-theoretic aspects of the theory. Most of the material presented here is not available anywhere in the book literature. {\it Kac--Moody Groups, their Flag Varieties and Representation Theory} is suitable for an advanced graduate course in representation theory, and contains a number of examples, exercises, challenging open problems, comprehensive bibliography, and index. Research mathematicians at the crossroads of representation theory, geometry, and topology will learn a great deal from this text; although the book is devoted to the general K-M case, those primarily interested in the finite-dimensional case will also benefit. No prior knowledge of K-M Lie algebras or of (finite-dimensional) algebraic groups is required, but some basic knowledge would certainly be helpful. For the reader's convenience some of the basic results needed from other areas, including ind-varieties, pro-algebraic groups and pro-Lie algebras, Tits systems, local cohomology, equivariant cohomology, and homological algebra are included.

This book gives a complete proof of the Verlinde formula and of its connection to generalized theta functions.

Conformal Blocks, Generalized Theta Functions and the Verlinde Formula

Anil Mital

Arunkumar Pennathur

The current global economic downturn and considerable shifting in industrial and manufacturing activities have disturbed the industrial order. However, human work productivity is still one of the most important components of the industrial economy and a determining factor in global competiveness and influence as well as the potential for technological innovation and advancement. Human Work Productivity: A Global Perspective covers how human productivity affects the industrial economy and competitiveness across the industrial and manufacturing sectors. Many approaches that have worked historically must now be reexamined and new approaches must be developed. Integrating recent concepts related to human work productivity for modern production systems/organizations, this book examines how ergonomic improvements for the human operator and/or redesign and rearrangement of the workplace can boost individual productivity. It also covers the impact of the aging workforce, reports on an investigation of total productive maintenance, and considers the efficacy of workplace design from a maintenance perspective. Discussions of work hours and their effect on productivity, the impact of technology, and productivity in a health care organization complete the coverage. In any organization, all components must be considered as an integrated whole for sustained productivity. This book explores these components as independent factors and examines their impact on productivity. It then discusses models integrating these factors, creating a clear understanding of the whole, and details schemes of optimization for putting that understanding into practice.

A Global Perspective

Human Work Productivity

Ergonomics touches every man, woman and child each day of their lives whether they recognise it or not. Ergonomics (or lack of it) plays a more significant role in the lives of about two-thirds of the world s population over 10 years of age who work for one-third of their lives to make a living. There are 120 million occupational accidents and injuries and 200,000 fatalities each year according to WHO 95. Occupational accidents, injuries and fatalities are undesired events. The occupational activities are planned and designed, and executed with a purpose under supervision but accidents are not. Hence it stands to reason that better planning, design and execution will help to reduce these undesirable outcomes. One must also recognise that under global scheme of biological evolution, the human beings were not designed to endure a life long exposure to artificial activities repetitively. Thus occupational health problems are inevitable if we do not return to nature for our sustenance. As a society, we have chosen to live and work as we do. In fact, there is a far rapid evolution (mutation and speciation) of occupations than of any biological organism. This places us in a situation where better planning, design and execution of our occupational activities have become absolute necessity. However, since ergonomics is a modifier and not a causal factor, its significance does not become immediately apparent to us. Perhaps it is for this reason that even in developed world occupational health services are available to between 20% to 50% of the work force and less than 10% of the workforce in the developing countries. Occupational health services are remedial approaches. The rational wisdom of the human race should strive to get proactive control of undesirable outcomes through ergonomics. Unfortunately, it is sadly lacking even today. On an optimistic note one can observe that its presence and application is slowly increasing.

Proceedings of the XIIIth Annual International Occupational Ergonomics and Safety Conference 1998

Advances in Occupational Ergonomics and Safety

Despite the apparently distinct differences between the disciplines of ergonomics and rehabilitation, they deal with the same issues, although at different ends of the spectrum. Keeping this in mind, Ergonomics for Rehabilitation Professionals explores their philosophies and goals, their parallel, divergent, and complementary aspects. It traces the origin of each field and examines the role of ergonomics in rehabilitation. The book begins with a theoretical and conceptual review of ergonomics and its role in rehabilitation. It covers anthropometry and its impact on human biomechanics, allowing readers to grasp complex concepts, visualize what forces are acting where, and understand the consequence of this force. A chapter on tissue mechanics provides an understanding of the effect of the overall load on the tissues and a rationale for possible mechanisms of injury that can be used to design prevention and treatment methods. The book explores the relevant physiological issues, looking at the energy cost of activities and the data on strength and endurance. It discusses whole body biomechanics using an approach that supplies intuitive understanding of the effects of force, gravity, and physiological variables in an integrated manner. Addressing theoretical underpinnings with scientific rigor, the book covers a broad range of topics, always emphasizing design in rehabilitation. The editor’s organization of the material develops concepts in concentric circles with increasing radii, sequencing ideas and exploring them from simple to complex. This selection of topics from two vast and seemingly diverse disciplines provides the tools for setting realistic goals and developing the strategies to achieve them.

Muscle strength is an important topic for ergonomics practitioners and physiologists to understand, especially as it relates to workplace injuries. Muscle strength and function is at the heart of many injuries that lead to reduced productivity and economic strain on the worker, the company, and society as a whole. This comprehensive source o

Muscle Strength

Electromyography (EMG) is the study of muscle behaviour via electronic means, and is thus a technique fundamental to ergonomics, physiology and biomechanics. This text describes the principles of EMG and its application domains, focusing on anatomy, biology, muscle characteristics, physics, mechanics, EMG signal, noise/artifacts/errors, equipment/devices/techniques, interpretation and computerised data acquisition, and analysis. The book provides a theoretical base, a strategic framework and user experiences.

Shrawan Kumar

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