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

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