Homotopy 1

Lecture course, Master 2, Paris 13 2022-23

Teacher: Christian Ausoni
E-mail : ausoni (at) univ-paris13.fr

For the exam: you can bring a handwritten summary, list of definitions or results from the lecture, fitting on one recto-verso A4 sheet (two pages). PS: Uploaded Lecture 10 below.

I will hold two online meetings for answering questions on the lecture/exercises, in view of the exam: Thursday 29.12.2022, 15:00 to 16:00. Tuesday 03.01.2023, 15:00 to 16:00. If you wish to participate to one of these, plesase send me an e-mail to receive a zoom link. If you have questions but cannot attend, let me know by e-mail.

Follow-up lectures

• Homotopy 2, Geoffroy Horel. Timetable see master's webpage.
  
• Algebraic K-theory and motivic cohomology, Maria Yakerson. Timetable see master's webpage.
  
• Algèbre homotopique et catégories supérieures(LMFI Master), Pierre-Louis Curien. Starts first week of January, see LMFI's webpage.
  

Lecture notes

• Lecture 1 -- 07.11.2022 (PDF)
  
• Lecture 2 -- 10.11.2022 (PDF)
  
• Lecture 3 -- 17.11.2022 (PDF)
  
• Lecture 4 -- 21.11.2022 (PDF)
  
• Lecture 5 -- 24.11.2022 (PDF)
  
• Lecture 6 -- 28.11.2022 (PDF)
  
• Lecture 7 -- 01.12.2022 (PDF)
  
• Lecture 8 -- 05.12.2022 (PDF)
  
• Lecture 9 -- 08.12.2022 (PDF)
  
• Lecture 10 --12.12.2022 (PDF)
  

Exercises

• Exercise sheet 1 (PDF)
  
• Exercise sheet 2 (PDF)
  
• Exercise sheet 3 (PDF)
  
• Exercise sheet 4 (PDF)
  
• Exercise sheet 5 (PDF)
  
• Exercise sheet 6 (PDF)
  

Schedule

• Week 1 -- 07-11.11.2022:
  • Lecture: Monday 16h30-18h30, Sophie Germain 2012
  • Lecture: Thursday 16h-18h, Olympe de Gouges 118
    
    
• Week 2 -- 14-18.11.2022:
  • Exercises: Monday 16h30-18h30, Sophie Germain 2012
  • Lecture: Thursday 16h30-19h30, Olympe de Gouges 118
  • Exercises: Friday 8h30-10h30, Sophie Germain 2018
    
    
• Week 3 -- 21-25.11.2022:
  • Lecture: Monday 16h30-19h00, Sophie Germain 2012
  • Lecture: Thursday 16h30-18h00, Olympe de Gouges 118
  • Exercises: Friday 8h30-10h30, Sophie Germain 2018
    
    
• Week 4 -- 28.11-02.12.2022:
  • Lecture: Monday 16h30-19h, Sophie Germain 2012
  • Lecture: Thursday 16h30-19h, Olympe de Gouges 118
  • Exercises: Friday 8h30-10h30, Sophie Germain 2018
    
    
• Week 5 to 6:
  • Lecture: Monday 16h30-18h30, Sophie Germain 2012
  • Lecture: Thursday 16h30-18h30, Olympe de Gouges 118
  • Exercises: Friday 8h30-10h30, Sophie Germain 2018
    
    

Literature

• Edward B. Curtis Simplicial homotopy theory, Advances in Mathematics 6, 107-209, 197 https://www.sciencedirect.com/science/article/pii/0001870871900156.
  
  
• Allan Hatcher, Algebraic Topology, Cambridge University Press, 2002.
  Available from the author's webpage.
  
  
• Peter May, A concise course in Algebraic Topology, Chicago Lectures in Mathematics, 1999.
  Available from the author's webpage (PDF)).
  
  
• Tammo tom Dieck, Algebraic topology, EMS Textbooks in Mathematics, European Mathematical Society (EMS) 2008, xii+567.