2023-2024 / MATH0465-1

Algebraic Topology

Duration

30h Th, 10h Pr, 20h Mon. WS

Number of credits

 Master in mathematics (120 ECTS) (Even years, not organized in 2023-2024) 8 crédits 
 Master in mathematics (60 ECTS) (Even years, not organized in 2023-2024) 8 crédits 

Lecturer

Jean-Pierre Schneiders

Language(s) of instruction

French language

Organisation and examination

Teaching in the second semester

Schedule

Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

This course constitutes an introduction to algebraic topology and homological algebra.
One consider mainly the singular homology and some of its significant applications.

Learning outcomes of the learning unit

At the end of the course, the students should have a good idea of what algebraic topology is and of how its study leads naturally to homological algebra.

Prerequisite knowledge and skills

A good knowledge of basic algebra and topology is essential.

Planned learning activities and teaching methods

The course consists of blackboard lessons, exercises sessions and a personal work.
During the lessons, the main theoretical results are introduced, established and illustrated with examples.
During the exercises sessions, the students are trained to solve by themselves various problems using the results considered in the lessons
The personal work consists of the preparation of a short paper presenting and establishing a result related to the course but not considered during the lessons.

Mode of delivery (face to face, distance learning, hybrid learning)

Face-to-face course

Recommended or required readings

Lecture notes are in preparation and a list of reference works is available.

Exam(s) in session

Any session

- In-person

oral exam

Written work / report

Work placement(s)

Organisational remarks and main changes to the course

The course is given during the second quadrimester of even academic years. It is therefore not given in 2021-2022.

Contacts

Jean-Pierre Schneiders Département de Mathématique (Bât. B37, Bureau 1/60) Allée de la Découverte, 12 - 4000 Liège (Sart-Tilman) Phone: (04) 366.94.01 - E-Mail: jpschneiders@uliege.be Web page: http://www.analg.ulg.ac.be/jps/

Association of one or more MOOCs