2023/2024
K3 Surfaces
Type:
Optional course (faculty)
Delivered by:
Faculty of Mathematics
When:
1, 2 module
Open to:
students of all HSE University campuses
Instructors:
Lyalya Guseva
Language:
English
ECTS credits:
3
Contact hours:
30
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. "