2025/2026

Алгебраический анзац Бете

Статус: Дисциплина общефакультетского пула

Кто читает: Факультет математики

Когда читается: 1, 2 модуль

Охват аудитории: для всех кампусов НИУ ВШЭ

Язык: английский

Контактные часы: 60

Course Syllabus

Abstract

The course is devoted to the theory of quantum integrable systems with many (and even infinitely many) degrees of freedom, which is a key part of modern mathematical physics. Integrable models are of great interest and importance from both physical and mathematical points of view. As a rule, there are reach algebraic structures behind them. A deep understanding of these structures has leaded to some new branches of modern mathematics such as, for example, quantum groups and algebras. We will discuss the main method of solving the related problems - the celebrated Bethe ansatz in its coordinate and algebraic versions. The secret of universality and effectiveness of Bethe ansatz hasn't been fully revealed yet. In his time, Nobel winner Richard Feynman pointed out that revealing these secrets is one of the main problems in future theoretical and mathematical physics.