2026/2027
Алгебраическая геомерия: теория деформаций с приложениями к теории Мори
Статус:
Дисциплина общефакультетского пула
Кто читает:
Факультет математики
Где читается:
Факультет математики
Когда читается:
1, 2 модуль
Охват аудитории:
для всех кампусов НИУ ВШЭ
Преподаватели:
Жгун Владимир Сергеевич
Язык:
английский
Кредиты:
6
Контактные часы:
60
Course Syllabus
Abstract
"The aim of the course is to give the introduction to the advanced
topics of algebraic geometry which are usually omitted in the standard
course. The fruitfull schematic approach of Grothendieck allows to
construct such objects as: Hilbert scheme
(which classifies the subschemes of a given scheme), Quot scheme and
scheme of morphisms of two schemes. The deformation theory
studies the infinitesimal structure of these schemes, that allows to
say much about the objects where the deformations are considered. This
idea was used by Mori who applied the geometry of rational curves to
study the birational geometry of projective varieties. In the course
we shall discuss these variety of topics."