This monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors. It explores positivity conditions and establishes the Hilbert-Samuel formula and the equidistribution the...Lasīt vairāk
The HardyLittlewood circle method was invented over a century ago to study integer solutions to special Diophantine equations, but it has since proven to be one of the most successful all-purpose tools available to number theorists. Not only is it c...Lasīt vairāk
This book is an outgrowth of the conference Regulators IV: An International Conference on Arithmetic L-functions and Differential Geometric Methods that was held in Paris in May 2016....Lasīt vairāk
The HardyLittlewood circle method was invented over a century ago to study integer solutions to special Diophantine equations, but it has since proven to be one of the most successful all-purpose tools available to number theorists. Not only is it c...Lasīt vairāk
This book provides a complete exposition of equidistribution and counting problems weighted by a potential function of common perpendicular geodesics in negatively curved manifolds and simplicial trees. Avoiding any compactness assumptions, the au...Lasīt vairāk
This book presents the most up-to-date and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithme...Lasīt vairāk
This book is an outgrowth of the conference Regulators IV: An International Conference on Arithmetic L-functions and Differential Geometric Methods that was held in Paris in May 2016....Lasīt vairāk
This book presents the most up-to-date and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithme...Lasīt vairāk
(Izdošanas datums: 11-Jan-2020, Hardback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781071602621)
The present monograph develops a unified theory of Steinberg groups, independent of matrix representations, based on the theory of Jordan pairs and the theory of 3-graded locally finite root systems.The development...Lasīt vairāk
This book provides a complete exposition of equidistribution and counting problems weighted by a potential function of common perpendicular geodesics in negatively curved manifolds and simplicial trees. Avoiding any compactness assumptions, the au...Lasīt vairāk
This book contains selected papers based on talks given at the Representation Theory, Number Theory, and Invariant Theory conference held at Yale University from June 1 to June 5, 2015. The meeting and this resulting volume are in honor of Pro...Lasīt vairāk
This lecture notes volume presents significant contributions from the Algebraic Geometry and Number Theory Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014.It addresses subjects ranging from Arakelov geometry and I...Lasīt vairāk
This volume presents original research articles and extended surveys related to the mathematical interest and work of Jean-Michel Bismut. His outstanding contributions to probability theory and global analysis on manifolds have had a profound impa...Lasīt vairāk
The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With...Lasīt vairāk
This lecture notes volume presents significant contributions from the Algebraic Geometry and Number Theory Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014.It addresses subjects ranging from Arakelov geometry and Iwasawa t...Lasīt vairāk
Nolan Wallachs mathematical research is remarkable in both its breadth and depth. His contributions to many fields include representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannia...Lasīt vairāk
Over the last forty years, David Vogan has left an indelible imprint on the representation theory of reductive groups. His groundbreaking ideas have lead to deep advances in the theory of real and p -adic groups, and have forged lasting connections...Lasīt vairāk
Ce travail en deux volumes donne la preuve de la stabilisation de la formule des trace tordue. Stabiliser la formule des traces tordue est la méthode la plus puissante connue actuellement pour comprendre laction naturelle du groupe des p...Lasīt vairāk
Ce travail en deux volumes donne la preuve de la stabilisation de la formule des trace tordue.Stabiliser la formule des traces tordue est la méthode la plus puissante connue actuellement pour comprendre laction naturelle du groupe des points adéli...Lasīt vairāk
