Master
2024/2025
Introduction to Differential Geometry
Type:
Elective course (Mathematics)
Area of studies:
Mathematics
Delivered by:
Faculty of Mathematics
Where:
Faculty of Mathematics
When:
1 year, 1, 2 module
Mode of studies:
offline
Open to:
students of one campus
Instructors:
Filipp Uvarov
Master’s programme:
Mathematics
Language:
English
ECTS credits:
6
Contact hours:
60
Course Syllabus
Abstract
The course serves as an introduction to the main topics of Differential geometry: an initial introduction to symplectic and contact geometry, the theory of affine connections on manifolds, Riemannian manifolds, geodesics. PRELIMINARY PREPARATION: Linear algebra, differential equations, analysis on manifolds