2025/2026

Научно-исследовательский семинар "Введение в теорию Ходжа"

Статус: Дисциплина общефакультетского пула

Кто читает: Факультет математики

Когда читается: 3, 4 модуль

Охват аудитории: для всех кампусов НИУ ВШЭ

Преподаватели: Горинов Алексей Геннадьевич

Язык: английский

Контактные часы: 72

Course Syllabus

Abstract

The cohomology of every complex algebraic variety carries a mixed Hodge structure, which is a linear algebraic object that, as opposed to the cohomology itself, retains some (or sometimes all) information about the algebraic structure. For example, all smooth genus $g$ compact connected complex algebraic curves have isomorphic cohomology, but the mixed Hodge structure recovers the isomorphism type of the curve. In the seminar we will see how to construct this structure first for smooth compact varieties, then for just smooth varieties, and then in the general case. If time allows, we will also cover a more general viewpoint on the subject based on mixed Hodge modules.