Representation Theory, Mathematical Physics, and Integrable Systems: In Honor of Nicolai Reshetikhin
暫譯: 表示理論、數學物理與可積系統:致敬尼古萊·雷謝季金
Alekseev, Anton, Frenkel, Edward, Rosso, Marc
- 出版商: Birkhauser Boston
- 出版日期: 2022-02-05
- 售價: $5,650
- 貴賓價: 9.5 折 $5,368
- 語言: 英文
- 頁數: 643
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 303078147X
- ISBN-13: 9783030781477
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相關分類:
數學、理工類
海外代購書籍(需單獨結帳)
相關主題
商品描述
Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology. The chapters in this volume - compiled on the occasion of his 60th birthday - are written by distinguished mathematicians and physicists and pay tribute to his many significant and lasting achievements.
Covering the latest developments at the interface of noncommutative algebra, differential and algebraic geometry, and perspectives arising from physics, this volume explores topics such as the development of new and powerful knot invariants, new perspectives on enumerative geometry and string theory, and the introduction of cluster algebra and categorification techniques into a broad range of areas. Chapters will also cover novel applications of representation theory to random matrix theory, exactly solvable models in statistical mechanics, and integrable hierarchies. The recent progress in the mathematical and physicals aspects of deformation quantization and tensor categories is also addressed.
Representation Theory, Mathematical Physics, and Integrable Systems will be of interest to a wide audience of mathematicians interested in these areas and the connections between them, ranging from graduate students to junior, mid-career, and senior researchers.
Covering the latest developments at the interface of noncommutative algebra, differential and algebraic geometry, and perspectives arising from physics, this volume explores topics such as the development of new and powerful knot invariants, new perspectives on enumerative geometry and string theory, and the introduction of cluster algebra and categorification techniques into a broad range of areas. Chapters will also cover novel applications of representation theory to random matrix theory, exactly solvable models in statistical mechanics, and integrable hierarchies. The recent progress in the mathematical and physicals aspects of deformation quantization and tensor categories is also addressed.
Representation Theory, Mathematical Physics, and Integrable Systems will be of interest to a wide audience of mathematicians interested in these areas and the connections between them, ranging from graduate students to junior, mid-career, and senior researchers.
商品描述(中文翻譯)
在他卓越的職業生涯中,尼古拉·瑞謝季金(Nicolai Reshetikhin)在多個領域做出了許多開創性的貢獻,包括表示理論、可積系統和拓撲學。本卷中的章節是為了慶祝他60歲生日而編輯的,作者是多位傑出的數學家和物理學家,向他眾多重要且持久的成就致敬。
本卷涵蓋了非交換代數、微分幾何和代數幾何的最新發展,以及來自物理學的觀點,探討了如新穎且強大的結不變量的發展、對計數幾何和弦理論的新視角,以及將叢代數和類別化技術引入廣泛領域的主題。章節還將涵蓋表示理論在隨機矩陣理論、統計力學中的精確可解模型和可積層次中的新穎應用。最近在變形量子化和張量類別的數學和物理方面的進展也將被討論。
《表示理論、數學物理與可積系統》將吸引對這些領域及其之間的聯繫感興趣的廣泛數學家讀者,涵蓋從研究生到初級、中級和高級研究人員的各個層次。