Fiches de cours 2017-2018

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Homotopical algebra

MATH-436

Enseignant(s) :

Hess Bellwald Kathryn

Langue:

English

Summary

This course will provide an introduction to model category theory, which is an abstract framework for generalizing homotopy theory beyond topological spaces and continuous maps. We will study numerous examples of model categories and their applications in algebra and topology.

Content

  1. Category theory
  2. Model categories and their homotopy categories
  3. Transfer theorems
  4. Localizing model categories
  5. Monoidal model categories and "brave new algebra"

Keywords

Abstract homotopy theory

Learning Prerequisites

Required courses

Second-year math courses, including Topology.

Recommended courses

Important concepts to start the course

Learning Outcomes

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

Transversal skills

Teaching methods

Ex-cathedra lectures, exercises

Expected student activities

Handing in weekly exercises to be graded.

Assessment methods

Written exam

Dans le cas de l'art. 3 al. 5 du Règlement de section, l'enseignant décide de la forme de l'examen qu'il communique aux étudiants concernés.

Supervision

Office hours No
Assistants Yes
Forum No

Resources

Bibliography

 

 

 

 

 

Ressources en bibliothèque
Websites

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