Integrability, Quantization, and Geometry: I. Integrable Systems

This book is a collection of articles written in memory of Boris Dubrovin (1950-2019), celebrating his remarkable personality and contributions to mathematical physics. The articles are divided into two parts, reflecting Dubrovin's main scientific interests, including integrable systems, quantum theories, and algebraic geometry. The authors express their admiration for Dubrovin as a friend, colleague, mentor, and teacher.

Format: Paperback / softback
Length: 516 pages
Publication date: 30 May 2021
Publisher: American Mathematical Society

This book is a heartfelt tribute to Boris Dubrovin (1950-2019), a remarkable individual whose contributions to mathematical physics have left an indelible mark on the field. The authors, who had the privilege of knowing and working with Dubrovin, have compiled a collection of articles in his memory, expressing their admiration for his exceptional personality and profound impact.

For many of the authors, Dubrovin was not just a friend or colleague; he was an inspiring mentor and teacher who guided them through their academic journey. His influence extended far beyond the confines of the classroom, shaping the careers of countless individuals.

The contributions to this collection of papers are organized into two parts: "Integrable Systems" and "Quantum Theories and Algebraic Geometry." These sections reflect Dubrovin's primary areas of scientific interest, which spanned a wide range of topics. Chronologically, these interests can be divided into several phases: 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 of the collection are primarily focused on these core areas, with a particular emphasis on the first three listed above. These articles delve into the intricate details and mathematical developments that characterized Dubrovin's work in these fields.

On the other hand, the second part of the collection contains articles that explore quantum theories and algebraic geometry, although they may have a less direct connection with Dubrovin's early interests. These articles nonetheless showcase the breadth and depth of Dubrovin's intellectual pursuits, as he made significant contributions to these areas as well.

Throughout the book, the authors pay tribute to Dubrovin's exceptional intelligence, creativity, and unwavering dedication to his work. They recount personal anecdotes and anecdotes that shed light on Dubrovin's character, his passion for mathematics, and his unwavering commitment to advancing the field.

This book serves as a lasting testament to the legacy of Boris Dubrovin, a brilliant mathematician whose contributions will continue to inspire and influence future generations of scientists. It is a must-read for anyone interested in mathematical physics, and a fitting tribute to a man whose life and work have left an indelible mark on the world of mathematics.

Weight: 948g
Dimension: 181 x 254 x 31 (mm)
ISBN-13: 9781470455910