Algebraic Topology II Spring 2022

Lecturer
Paul Biran
Coordinator
Patricia Dietzsch

Lectures

The lectures will take place

The lectures will be recorded. The recording is available here , with the following login data
login: bir-22s
password: 6P8q8yH

Content

This is a continuation course to Algebraic Topology I . The course will cover more advanced topics in algebraic topology including:

As a reference, you can access the recordings of Algebraic Topology 1+2 from the previous academic year.

Algebraic topology 2 - FS21: (videos and lecture notes)
password: atop2FS21

File name structure:
Notes (raw): atop2.2021.MM.DD.RAW##.pdf
Notes (enhanced): atop2.2021.MM.DD.N##.pdf
Video: atop2.2021.MM.DD.V##.mp4
MM=month, DD=day, ## is a running number (usually 01).
* Not all lectures have an enhanced version.

Algebraic topology 1 - HS20: (videos and lecture notes)
password: atop1HS20

File name structure (similar to algebraic topology 2):
Notes (raw): atop1.2020.MM.DD.RAW##.pdf
Notes (enhanced): atop1.2020.MM.DD.N##.pdf
Video: atop1.2020.MM.DD.V##.mp4
MM=month, DD=day, ## is a running number (usually 01).
* Not all lectures have an enhanced version.

Prerequisites

You should know the basics of point-set topology and the content of the course Algebraic Topology I .
Some knowledge of differential geometry and differential topology is useful but not necessary.
Some (elementary) group theory and algebra will also be needed.

Lectures Content

Week Content References
Week 1
(23.02.2022 - 25.02.2022)
Week 2
(2.03.2022 - 4.03.2022)
Week 3
(9.03.2022 - 11.03.2022)
Week 4
(16.03.2022 - 18.03.2022)
Week 5
(23.03.2022 - 25.03.2022)
Week 6
(30.03.2022 - 1.04.2022)
Week 7
(6.04.2022 - 8.04.2022)
Week 8
(13.04.2022)
Week 9
(27.04.2022 - 29.04.2022)
Week 10
(4.05.2022 - 6.05.2022)
Week 11
(11.05.2022 - 13.05.2022)
Week 12
(18.05.2022 - 20.05.2022)
Week 13
(25.05.2022 - 27.05.2022)
Week 13
(1.06.2022)

Exercises

The new exercises will be posted here.

If you have any questions concerning the exercises, please don't hesitate to contact Patricia Dietzsch. You can contact her by email, or come to HG FO 28.7 on Wednesdays from 12:15-13:15 to ask questions.

Exercise sheet Solutions
Exercise sheet 1

A good preparation if you would like to remind yourself some relevant material on tensor products:
Exercise sheet on tensor products
Solutions 1

Solutions for the tensor product exercises
Exercise sheet 2 Solutions 2
Exercise sheet 3 Solutions 3
Exercise sheet 4 Solutions 4

Literature