2023/2024
Введение в топологическую рекурсию
Статус:
Дисциплина общефакультетского пула
Кто читает:
Факультет математики
Когда читается:
1, 2 модуль
Охват аудитории:
для всех кампусов НИУ ВШЭ
Язык:
английский
Кредиты:
6
Контактные часы:
60
Course Syllabus
Abstract
Topological recursion (TR) is a remarkable universal recursive procedure that has been found in many enumerative geometry problems, from combinatorics of maps, to random matrices, Gromov-Witten invariants, Hurwitz numbers, knot polynomials and integrable systems. We start with TR in the theory of matrix models and through the bunch of examples come to the current understanding of TR in the theory of generalized Hurwitz numbers. We will discuss connections of TR with integrable hierarchies and embedded graphs. If time permits we consider examples and applications of TR in cohomology field theories.