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Number Theory, Analysis and Geometry
Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry, and the theory of negatively curved spaces. Lang's conjectures will keep many mathematicians occupied far into the future. In the spirit of Lang’s vast contribution to mathematics, this memorial volume contains articles by prominent mathematicians in a variety of areas of the field, namely Number Theory, Analysis, and Geometry, representing Lang’s own breadth of interest and impact. A special introduction by John Tate includes a brief and fascinating account of the Serge Lang’s life. This volume's group of 6 editors are also highly prominent mathematicians and were close to Serge Lang, both academically and personally. The volume is suitable to research mathematicians in the areas of Number Theory, Analysis, and Geometry.
Surveys on Recent Developments in Algebraic Geometry
The algebraic geometry community has a tradition of running a summer research institute every ten years. During these influential meetings a large number of mathematicians from around the world convene to overview the developments of the past decade and to outline the most fundamental and far-reaching problems for the next. The meeting is preceded by a Bootcamp aimed at graduate students and young researchers. This volume collects ten surveys that grew out of the Bootcamp, held July 6–10, 2015, at University of Utah, Salt Lake City, Utah. These papers give succinct and thorough introductions to some of the most important and exciting developments in algebraic geometry in the last decade. Included are descriptions of the striking advances in the Minimal Model Program, moduli spaces, derived categories, Bridgeland stability, motivic homotopy theory, methods in characteristic and Hodge theory. Surveys contain many examples, exercises and open problems, which will make this volume an invaluable and enduring resource for researchers looking for new directions.
The Cremona Group and Its Subgroups
The goal of this book is to present a portrait of the n n-dimensional Cremona group with an emphasis on the 2-dimensional case. After recalling some crucial tools, the book describes a naturally defined infinite dimensional hyperbolic space on which the Cremona group acts. This space plays a fundamental role in the study of Cremona groups, as it allows one to apply tools from geometric group theory to explore properties of the subgroups of the Cremona group as well as the degree growth and dynamical behavior of birational transformations. The book describes natural topologies on the Cremona group, codifies the notion of algebraic subgroups of the Cremona groups and finishes with a chapter on the dynamics of their actions. This book is aimed at graduate students and researchers in algebraic geometry who are interested in birational geometry and its interactions with geometric group theory and dynamical systems.
Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Identity, Capabilities, and Changing Economics
Mainstream economics assumes economic agents act and make decisions to maximize their utility. This model of economic behavior, based on rational choice theory, has come under increasing attack in economics because it does not accurately reflect the way people behave and reason. The shift towards a more realistic account of economic agents has been mostly associated with the rise of behavioral economics, which views individuals through the lens of bounded rationality. Identity, Capabilities, and Changing Economics goes further and uses identity analysis to build on this critique of the utility conception of individuals, arguing it should be replaced by a conception of economic agents in an uncertain world as socially embedded and identified with their capabilities. Written by one of the world's leading philosophers of economics, the book develops a new approach to economics' theory of the individual, explaining individuals as adaptive and reflexive rather than utility maximizing.
Combined Membership List
Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.
Pottery in Archaeology
This revised edition provides an up-to-date account of the many different kinds of information that can be obtained through the archaeological study of pottery. It describes the scientific and quantitative techniques that are now available to the archaeologist, and assesses their value for answering a range of archaeological questions. It provides a manual for the basic handling and archiving of excavated pottery so that it can be used as a basis for further studies. The whole is set in the historical context of the ways in which archaeologists have sought to gain evidence from pottery and continue to do so. There are case studies of several approaches and techniques, backed up by an extensive bibliography.
