This book presents a self-contained introduction to H.M. Stark s remarkable conjectures about the leading term of the Taylor expansion of Artin s L-functions at s=0. These conjectures can be viewed as a vast generalization of Dirichlet s class number formula and Kronecker s limit formula. They provide an unexpected contribution to Hilbert s 12th problem on the generalization of class fields by the values of transcendental functions. This volume belongs on the shelf of every mathematics library."
This book presents a self-contained introduction to H.M. Stark s remarkable conjectures about the leading term of the Taylor expansion of Artin s L...
Dedicated to Jacques Carmona, an expert in noncommutative harmonic analysis, the volume presents excellent invited/refereed articles by top notch mathematicians. Topics cover general Lie theory, reductive Lie groups, harmonic analysis and the Langlands program, automorphic forms, and Kontsevich quantization. Good text for researchers and grad students in representation theory.
Dedicated to Jacques Carmona, an expert in noncommutative harmonic analysis, the volume presents excellent invited/refereed articles by top notch m...
This is the sixth annual volume of papers based on the outstanding lectures given at the Seminaire de Theorie des Nombres de Paris. The results presented in 1985-86 by an international group of mathematicians reflect the most recent work in many areas of number theory.
This is the sixth annual volume of papers based on the outstanding lectures given at the Seminaire de Theorie des Nombres de Paris. The results pre...
Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title "Lie Theory," feature survey work and original results by well-established researchers in key areas of semisimple Lie theory.
A wide spectrum of topics is treated, with emphasis on the interplay between representation theory and the geometry of adjoint orbits for Lie algebras over fields of possibly finite characteristic, as well as for...
Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mat...
* Introduces the fundamental theory of vertex operator algebras and its basic techniques and examples.
* Begins with a detailed presentation of the theoretical foundations and proceeds to a range of applications.
* Includes a number of new, original results and brings fresh perspective to important works of many other researchers in algebra, lie theory, representation theory, string theory, quantum field theory, and other areas of math and physics.
* Introduces the fundamental theory of vertex operator algebras and its basic techniques and examples.
1. The Subject Matter. Consider a complex semisimple Lie group G with Lie algebra g and Weyl group W. In this book, we present a geometric perspective on the following circle of ideas: polynomials The "vertices" of this graph are some of the most important objects in representation theory. Each has a theory in its own right, and each has had its own independent historical development. - A nilpotent orbit is an orbit of the adjoint action of G on g which contains the zero element of g in its closure. (For the special linear group 2 G = SL(n, C), whose Lie algebra 9 is all n x n matrices with...
1. The Subject Matter. Consider a complex semisimple Lie group G with Lie algebra g and Weyl group W. In this book, we present a geometric perspective...
* The invited papers in this volume are written in honor of Alan Weinstein, one of the world s foremost geometers
* Contributions cover a broad range of topics in symplectic and differential geometry, Lie theory, mechanics, and related fields
* Intended for graduate students and working mathematicians, this text is a distillation of prominent research and an indication of future trends in geometry, mechanics, and mathematical physics"
* The invited papers in this volume are written in honor of Alan Weinstein, one of the world s foremost geometers
This volume, dedicated to Bertram Kostant on the occasion of his 65th birthday, is a collection of 22 invited papers by leading mathematicians working in Lie theory, geometry, algebra, and mathematical physics. Kostant's fundamental work in all these areas has provided deep new insights and connections, and has created new fields of research. The papers gathered here present original research articles as well as expository papers, broadly reflecting the range of Kostant's work.
This volume, dedicated to Bertram Kostant on the occasion of his 65th birthday, is a collection of 22 invited papers by leading mathemat...
This generalization of geometry is bound to have wide spread repercussions for mathematics as well as physics. The unearthing of it will entail a new golden age in the interaction of mathematics and physics. E. Witten (1986) The idea that the moduli space Mg of curves of fixed genus 9 - that is, the algebraic variety that parametrizes all curves of genus 9 - is an intriguing object in its own right seems to have come slowly. Although the para meters or moduli of curves surface in Riemann's famous memoir on abelian functions (from 1857) and in work of Hurwitz and later were considered by the...
This generalization of geometry is bound to have wide spread repercussions for mathematics as well as physics. The unearthing of it will entail a new ...
* Contains research and survey articles by well known and respected mathematicians on recent developments and research trends in differential geometry and topology
* Dedicated in honor of Lieven Vanhecke, as a tribute to his many fruitful and inspiring contributions to these fields
* Papers include all necessary introductory and contextual material to appeal to non-specialists, as well as researchers and differential geometers
* Contains research and survey articles by well known and respected mathematicians on recent developments and research trends in differential geome...
