K3 Surfaces

2023/2024

Учебный год

ENG

Обучение ведется на английском языке

3

Кредиты

Кто читает:

Факультет математики

Статус:

Дисциплина общефакультетского пула

Когда читается:

1, 2 модуль

Преподаватель

Гусева Ляля Андреевна

Course Syllabus

Abstract

"K3 surfaces have been extensively studied during the last decades of the previous century. The techniques used to understand their geometry include Hodge theory, lattice theory and homological algebra. One of the landmarks in the theory of K3 surfaces is the global Torelli theorem, asserting that two K3 surfaces are isomorphic if and only if they have isomorphic periods. There is also a derived version of the global Torelli theorem proved by Mukai and Orlov. In this course we will discuss the global Torelli theorem as well as its derived version. "