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Lie Groups, Number Theory, and Vertex Algebras
This volume contains the proceedings of the conference Representation Theory XVI, held from June 25–29, 2019, in Dubrovnik, Croatia. The articles in the volume address selected aspects of representation theory of reductive Lie groups and vertex algebras, and are written by prominent experts in the field as well as junior researchers. The three main topics of these articles are Lie theory, number theory, and vertex algebras.
Lie Algebras, Vertex Operator Algebras, and Related Topics
This volume contains the proceedings of the conference on Lie Algebras, Vertex Operator Algebras, and Related Topics, celebrating the 70th birthday of James Lepowsky and Robert Wilson, held from August 14–18, 2015, at the University of Notre Dame, Notre Dame, Indiana. Since their seminal work in the 1970s, Lepowsky and Wilson, their collaborators, their students, and those inspired by their work, have developed an amazing body of work intertwining the fields of Lie algebras, vertex algebras, number theory, theoretical physics, quantum groups, the representation theory of finite simple groups, and more. The papers presented here include recent results and descriptions of ongoing research initiatives representing the broad influence and deep connections brought about by the work of Lepowsky and Wilson and include a contribution by Yi-Zhi Huang summarizing some major open problems in these areas, in particular as they pertain to two-dimensional conformal field theory.
Literati and Self-Re/Presentation
This study of the Chinese novel in the eighteenth century, arguably one of the greatest periods of the genre, focuses on the autobiographical features of three important works: The Dream of the Red Chamber, or The Story of the Stone (Honglou meng), The Scholars (Rulin waishi), and the relatively neglected The Humble Words of an Old Rustic (Yesou puyan). The author seeks for answers to the question of why the Chinese novel was becoming increasingly autobiographical during the eighteenth century, even as explicitly autobiographical writing was in a decline. He suggests that several new trends in the development of the genre (such as the accelerated "literatization" process) and the changing st...
Topology and Physics
This unique volume, resulting from a conference at the Chern Institute of Mathematics dedicated to the memory of Xiao-Song Lin, presents a broad connection between topology and physics as exemplified by the relationship between low-dimensional topology and quantum field theory.The volume includes works on picture (2+1)-TQFTs and their applications to quantum computing, Berry phase and YangOCoBaxterization of the braid relation, finite type invariant of knots, categorification and Khovanov homology, GromovOCoWitten type invariants, twisted Alexander polynomials, Faddeev knots, generalized Ricci flow, CalabiOCoYau problems for CR manifolds, Milnor''s conjecture on volume of simplexes, Heegaard genera of 3-manifolds, and the (A, B)-slice problem. It also includes five unpublished papers of Xiao-Song Lin and various speeches related to the memorial conference
Shape, Smoothness, and Invariant Stratification of an Attracting Set for Delayed Monotone Positive Feedback
This book contains recent results about the global dynamics defined by a class of delay differential equations which model basic feedback mechanisms and arise in a variety of applications such as neural networks. The authors describe in detail the geometric structure of a fundamental invariant set, which in special cases is the global attractor, and the asymptotic behavior of solution curves on it. The approach makes use of advanced tools which in recent years have been developed for the investigation of infinite-dimensional dynamical systems: local invariant manifolds and inclination lemmas for noninvertible maps, Floquet theory for delay differential equations, a priori estimates controlli...
An Intellectual History of China, Volume Two
A history of traditional Chinese knowledge, thought and belief from the seventh through the nineteenth centuries with a new approach that offers a new perspective. It appropriates a wide range of source materials and emphasizes the necessity of understanding ideas and thought in their proper historical contexts. Its analytical narrative focuses on the dialectical interaction between historical background and intellectual thought. While discussing the complex dynamics of interaction among the intellectual thought of elite Chinese scholars, their historical conditions, their canonical texts and the "worlds of general knowledge, thought and belief," it also illuminates the significance of key issues such as the formation of the Chinese world order and its underlying value system, the origins of Chinese cultural identity, foreign influences, and the collapse of the Chinese world order in the 19th century leading toward the revolutionary events of the 20th century.
Topology And Physics - Proceedings Of The Nankai International Conference In Memory Of Xiao-song Lin
This unique volume, resulting from a conference at the Chern Institute of Mathematics dedicated to the memory of Xiao-Song Lin, presents a broad connection between topology and physics as exemplified by the relationship between low-dimensional topology and quantum field theory.The volume includes works on picture (2+1)-TQFTs and their applications to quantum computing, Berry phase and Yang-Baxterization of the braid relation, finite type invariant of knots, categorification and Khovanov homology, Gromov-Witten type invariants, twisted Alexander polynomials, Faddeev knots, generalized Ricci flow, Calabi-Yau problems for CR manifolds, Milnor's conjecture on volume of simplexes, Heegaard genera of 3-manifolds, and the (A,B)-slice problem. It also includes five unpublished papers of Xiao-Song Lin and various speeches related to the memorial conference.
A History of Chinese Science and Technology
A History of Chinese Science and Technology (Volumes 1, 2 & 3) presents 44 individual lectures, beginning with Ancient Chinese Science and Technology in the Process of Human Civilizations and an Overview of Chinese Science and Technology, and continuing with in-depth discussions of several issues in the History of Science and the Needham Puzzle, interspersed with topics on Astronomy, Arithmetic, Agriculture and Medicine, The Four Great Inventions, and various technological areas closely related to clothing, food, shelter and transportation. This book is the most authoritative work on the history of Chinese Science and Technology. It is the Winner of the China Book Award, the Shanghai Book Aw...
