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Обычная версия сайта
2024/2025

Динамика автоморфизмов алгебраических многообразий

Статус: Дисциплина общефакультетского пула
Когда читается: 1, 2 модуль
Охват аудитории: для всех кампусов НИУ ВШЭ
Язык: английский
Кредиты: 3

Course Syllabus

Abstract

Group of automorphisms of an algebraic variety is an important invariant, geometric properties of the variety depend a lot on it. In this course we are going to discuss positive entropy automorphisms. By Gromov-Yomdin's theorem the entropy of an automorphism can be computed with algebraic geometry invariants. We are going to study the connection of the dynamics and the geometry of regular and birational automorphisms of varieties, to describe properties of a very general element of the Cremona group, and discuss the behavior of families of birational automorphisms.