Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry

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: 480 pages
Publication date: 30 June 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. These articles showcase their admiration for Dubrovin's exceptional personality and profound impact on their lives.

For many of the authors, Dubrovin was not just a friend or colleague; he was an inspiring mentor and teacher. His wisdom, guidance, and unwavering support shaped their academic journey and inspired them to pursue their dreams.

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 Dubrovin's intellectual curiosity and his ability to make groundbreaking contributions across different areas of mathematics.

Throughout the book, the authors share personal anecdotes and insights that shed light on Dubrovin's character, his work ethic, and his unwavering passion for mathematics. They recount stories of his kindness, generosity, and unwavering commitment to advancing the field.

This book serves as a testament to the lasting legacy of Boris Dubrovin, a brilliant mathematician whose ideas and innovations continue to inspire generations of researchers. It is a valuable resource for anyone interested in mathematical physics, and it provides a glimpse into the life and work of a true master of the field.

In conclusion, this book is a heartfelt tribute to Boris Dubrovin, a remarkable individual whose contributions to mathematical physics have left an indelible mark on the field. Through the collection of articles written by his colleagues and friends, we celebrate Dubrovin's exceptional personality and profound impact on their lives. The articles in this book showcase Dubrovin's brilliance, creativity, and unwavering dedication to advancing the frontiers of mathematics. This book serves as a lasting testament to Dubrovin's legacy and a valuable resource for anyone interested in mathematical physics.

Weight: 898g
Dimension: 179 x 253 x 31 (mm)
ISBN-13: 9781470455927