2023/2024

An Introduction to Cohomology Theory

Type: Optional course (faculty)

Delivered by: Faculty of Mathematics

When: 1, 2 module

Open to: students of all HSE University campuses

Instructors: Alexei Gorinov

Language: English

ECTS credits: 6

Contact hours: 60

Course Syllabus

Abstract

One of the main goals of algebraic topology is to answer the question whether two given topological spaces are homeomorphic or homotopy equivalent. This question and several related ones arise not only in topology, but also in mathematical physics, algebra and geometry of any kind. Classical cohomology and generalisations such as K-theory etc. is one of the main computational tools that in some cases allow one to answer this question