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Moduli of Vector Bundles
"Contains papers presented at the 35th Taniguchi International Symposium held recently in Sanda and Kyoto, Japan. Details the latest developments concerning moduli spaces of vector bundles or instantons and their application. Covers a broad array of topics in both differential and algebraic geometry."
Advances In Electrocardiology 2004 - Proceedings Of The 31th International Congress On Electrocardiology
Electrocardiology has witnessed a century of development since the introduction of Einthoven's Galvanometer. With rapid progress in the scientific, technological and clinical aspects of the field of electrocardiology in recent years, electrocardiology now covers a wide range of topics from molecules as the electrical origin of the heart to diagnostic and therapeutic applications for cardiovascular diseases. This volume presents the latest information and developments in the field, from basic science to clinical electrocardiology. A wide range of topics are covered, including molecular biology, genetics, channelopathy, atrial fibrillation, catheter ablation, modeling of cardiac electrical activity, cardiac mapping, as well as diagnosis, treatment and prevention of cardiac disease and arrhythmic disorders.Contributors to the volume include leading experts in the field such as PJ Schwartz, C Antzelevitch, Y Rudy, HJGM Vrijin, DG Escande, AAM Wilde, DA Kass, J Jalife and A d'Avila. The book is an essential source of reference for cardiologists and electrocardiologists.
Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry
This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher. The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.
An Unlikely Revolutionary
A confidant of Governor John Burns, a member of the Board of Supervisors of the City and County of Honolulu, a business associate of developer and financier Chinn Ho, a trustee of the Bishop Estate - Matsuo Takabuki has been at the heart of many of the sweeping social, financial, and political changes that have fundamentally altered Hawaii in the last half century. An Unlikely Revolutionary is Takabuki's own story, told in his characteristically straightforward manner, of his life and work as one of the "movers and shakers" behind Hawaii's transformation from an isolated, agriculture-based territory to a highly diverse, competitive modern community. In September, An Unlikely Revolutionary was featured on the front page of the Honolulu Star-Bulletin.
Mathematical Works
For most mathematicians and many mathematical physicists the name Erich Kähler is strongly tied to important geometric notions such as Kähler metrics, Kähler manifolds and Kähler groups. They all go back to a paper of 14 pages written in 1932. This, however, is just a small part of Kähler's many outstanding achievements which cover an unusually wide area: From celestial mechanics he got into complex function theory, differential equations, analytic and complex geometry with differential forms, and then into his main topic, i.e. arithmetic geometry where he constructed a system of notions which is a precursor and, in large parts, equivalent to the now used system of Grothendieck and Dieu...
The Geometry of Cubic Hypersurfaces
Cubic hypersurfaces are described by almost the simplest possible polynomial equations, yet their behaviour is rich enough to demonstrate many of the central challenges in algebraic geometry. With exercises and detailed references to the wider literature, this thorough text introduces cubic hypersurfaces and all the techniques needed to study them. The book starts by laying the foundations for the study of cubic hypersurfaces and of many other algebraic varieties, covering cohomology and Hodge theory of hypersurfaces, moduli spaces of those and Fano varieties of linear subspaces contained in hypersurfaces. The next three chapters examine the general machinery applied to cubic hypersurfaces of dimension two, three, and four. Finally, the author looks at cubic hypersurfaces from a categorical point of view and describes motivic features. Based on the author's lecture courses, this is an ideal text for graduate students as well as an invaluable reference for researchers in algebraic geometry.
Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties
Articles in this volume are based on lectures given at three conferences on Geometry at the Frontier, held at the Universidad de la Frontera, Pucón, Chile in 2016, 2017, and 2018. The papers cover recent developments on the theory of algebraic varieties—in particular, of their automorphism groups and moduli spaces. They will be of interest to anyone working in the area, as well as young mathematicians and students interested in complex and algebraic geometry.
