Fiches de cours 2017-2018

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Homology and cohomology

MATH-371

Enseignant(s) :

Raum Sven

Langue:

English

Summary

This course introduces to homology and cohomology of topological spaces and groups as well as their relation via the classifying space of a group.

Content

  1. Simplicial homology
  2. Singular homology
  3. Cellular homology
  4. Abstract homology theories
  5. Cohomology
  6. Group homology and cohomology
  7. Classifying spaces

    Keywords

    algebraic topology, group cohomolgy, homological algebra, classifying spaces

    Learning Prerequisites

    Required courses

    Recommended courses

    Learning Outcomes

    By the end of the course, the student must be able to:

    Transversal skills

    Teaching methods

    Ex-cathedra course with exercises in the classroom and at home

    Expected student activities

    Assessment methods

    Written exam, exercises, LaTeX hand-ins and peer-feedback. In case Art. 3 al. 5 of the regulations of the section apply to some student, the exam form will be decided by the teacher and communicated to the student.

    Supervision

    Office hours Yes
    Assistants Yes
    Forum No

    Resources

    Bibliography

    Ressources en bibliothèque

    Dans les plans d'études

    Semaine de référence

     LuMaMeJeVe
    8-9     
    9-10     
    10-11     
    11-12     
    12-13     
    13-14     
    14-15     
    15-16     
    16-17     
    17-18     
    18-19     
    19-20     
    20-21     
    21-22     
    En construction
     
          Cours
          Exercice, TP
          Projet, autre

    légende

    • Semestre d'automne
    • Session d'hiver
    • Semestre de printemps
    • Session d'été
    • Cours en français
    • Cours en anglais
    • Cours en allemand