Math 624 Algebraic Topology II (2020 Spring)

Instructor: Professor Jae Choon Cha

Office hour: by an appointment
Instructor’s web page: https://gt.postech.ac.kr/~jccha/

Course home page

http://gt.postech.ac.kr/~jccha/algebraic-topology-2-2020-spring/

Announcement

To finish this semester, there is a small final project. For details on the final project, visit the following link:

Final project for Math 624 Algebraic Topology II (2020 Spring)

The due date is July 6, 2020, 6:00pm (Korean Time, GMT+9). Send your final project via email at jccha@postech.ac.kr.

Video Lectures

Lecture 23 (last lecture of the semester)

To watch on YouTube, click here.

 

Lecture 22

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Lecture 21

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Lecture 20

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Lecture 19

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Lecture 18

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Lecture 17

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Lecture 16

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Lecture 15

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Lecture 14

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Lecture 13

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Supplement material: covering spaces and fundamental groups

If you are not familiar with basic theory of covering spaces and fundamental groups and you need some resource for self-study, then you may read my lecture notes of MATH 422 “Introduction to Geometric Topology”:

Lecture Notes: Introduction to Geometric Topology

Especially Lectures #1-#8 provide elementary treatments of the subjects. (There are also some fun applications in other lectures.)

 

Lecture 12 (2020-05-03)

To watch on YouTube, click here.

 

Lecture 11 (2020-05-03)

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Lecture 10 (2020-04-20)

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Lecture 9 (2020-04-20)

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Lecture 8 (2020-04-17)

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Lecture 7 (2020-04-10)

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Lecture 6 (2020-04-08)

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Lecture 5 (2020-04-05)

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Lecture 4 (2020-03-31)

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Lecture 3 (2020-03-25, revised on 2020-03-27)

To watch on YouTube, click here.

 

Lecture 2 (2020-03-16, revised on 03-18)

To watch on YouTube, Click here.

 

Related materials to read:

 

Lecture 1 (2020-03-16)

To watch on YouTube, Click here.