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HSE University
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Faculty of Mathematics
Faculty of Mathematics
Contacts

119048Moscow, Usacheva str., 6

phone/fax: +7 (495) 624-26-16
phone: +7 (495) 916-89-05

e-mail: math@hse.ru

Administration
Alexandra Skripchenko
Sergei Lando
Scientific Supervisor – Sergei Lando
Vasily Gorbounov
Deputy Dean for Research – Vasily Gorbounov
Alexander Kolesnikov
Deputy Dean for Academic Progress – Alexander Kolesnikov
Svetlana Balaeva
Deputy Dean – Svetlana Balaeva
Pavel Nikolaevich Pyatov
Deputy Dean for Admissions – Pavel Nikolaevich Pyatov

K3 Surfaces

2023/2024
Academic Year
ENG
Instruction in English
3
ECTS credits
Delivered by:
Faculty of Mathematics
Type:
Optional course (faculty)
When:
1, 2 module

Instructor

Guseva, Lyalya

Guseva, Lyalya

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. "