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Progress in Mathematics

Progress in Mathematics
234 Jahrgänge | 1980 - 2020


Edited by

Antoine Chambert-Loir, Université Paris-Diderot, Paris, France

Jiang-Hua Lu, The University of Hong Kong, Hong Kong SAR, China

Michael Ruzhansky, Imperial College London, UK

Yuri Tschinkel, Courant Institute of Mathematical Sciences, New York, USA

Progress in Mathematics is a series of books intended for professional mathematicians and scientists, encompassing all areas of pure mathematics.

This distinguished series, which began in 1979, includes research level monographs, polished notes arising from seminars or lecture series, graduate level textbooks, and proceedings of focused and refereed conferences. It is designed as a vehicle for reporting ongoing research as well as expositions of particular subject areas.

Alle Bücher der Reihe Progress in Mathematics

2020 | Buch

Geometric Analysis

In Honor of Gang Tian's 60th Birthday

This edited volume has a two-fold purpose. First, comprehensive survey articles provide a way for beginners to ease into the corresponding sub-fields. These are then supplemented by original works that give the more advanced readers a glimpse of …

2019 | Open Access | Buch Open Access

Hardy Inequalities on Homogeneous Groups

100 Years of Hardy Inequalities

This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a …

2019 | Buch

Representations of Reductive p-adic Groups

International Conference, IISER, Pune, India, 2017

This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups. In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. The …

2019 | Buch

Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees

Applications to Non-Archimedean Diophantine Approximation

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 …

2019 | Buch

Steinberg Groups for Jordan Pairs

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 of this approach occurs over six …

2018 | Buch

Motivic Integration

This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. This theory is rooted in a groundbreaking idea of Kontsevich and was further developed by Denef & Loeser and …

2018 | Buch

Lie Groups, Geometry, and Representation Theory

A Tribute to the Life and Work of Bertram Kostant

This volume, dedicated to the memory of the great American mathematician Bertram Kostant (May 24, 1928 – February 2, 2017), is a collection of 19 invited papers by leading mathematicians working in Lie theory, representation theory, algebra …

2017 | Buch

Brauer Groups and Obstruction Problems

Moduli Spaces and Arithmetic

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 …

2017 | Buch

Geometry, Analysis and Probability

In Honor of Jean-Michel Bismut

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 …

2017 | Buch

Algebraic Geometry and Number Theory

Summer School, Galatasaray University, Istanbul, 2014

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 …

2017 | Buch

Algebra, Geometry, and Physics in the 21st Century

Kontsevich Festschrift

This volume is a tribute to Maxim Kontsevich, one of the most original and influential mathematicians of our time. Maxim’s vision has inspired major developments in many areas of mathematics, ranging all the way from probability theory to motives …

2017 | Buch

Representation Theory, Number Theory, and Invariant Theory

In Honor of Roger Howe on the Occasion of His 70th Birthday

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 …

2016 | Buch

Inverse Problems in Ordinary Differential Equations and Applications

This book is dedicated to study the inverse problem of ordinary differential equations, that is it focuses in finding all ordinary differential equations that satisfy a given set of properties. The Nambu bracket is the central tool in developing …

2016 | Open Access | Buch Open Access

Quantization on Nilpotent Lie Groups

This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on …

2016 | Buch

K3 Surfaces and Their Moduli

This book provides an overview of the latest developments concerning the moduli of K3 surfaces. It is aimed at algebraic geometers, but is also of interest to number theorists and theoretical physicists, and continues the tradition of related …

2016 | Buch

Spectral Theory of Infinite-Area Hyperbolic Surfaces

This text introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of the most recent developments in the field. For the second edition the context has been extended to general …

2016 | Buch

Arbeitstagung Bonn 2013

In Memory of Friedrich Hirzebruch

This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28. The 2013 meeting (and this resulting proceedings) was …

2015 | Buch

Mathematics of Aperiodic Order

What is order that is not based on simple repetition, that is, periodicity? How must atoms be arranged in a material so that it diffracts like a quasicrystal? How can we describe aperiodically ordered systems mathematically?

Originally trig

2015 | Buch

Geometry and Analysis on Manifolds

In Memory of Professor Shoshichi Kobayashi

This volume is dedicated to the memory of Shoshichi Kobayashi, and gathers contributions from distinguished researchers working on topics close to his research areas. The book is organized into three parts, with the first part presenting an overvi

2015 | Buch

Representations of Reductive Groups

In Honor of the 60th Birthday of David A. Vogan, Jr.

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 last