2024/2025
An Introduction to Generalised Cohomology Theories
Type:
Optional course (faculty)
Delivered by:
Faculty of Mathematics
Where:
Faculty of Mathematics
When:
3, 4 module
Open to:
students of all HSE University campuses
Instructors:
Alexei Gorinov
Language:
English
ECTS credits:
6
Contact hours:
72
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