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Nathan Bowler

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Lecture course "Graph Minors", summer semester 2020

BigBlueButton room:

The course takes place in this BigBlueButton room. For best results, use the Chrome browser. The access code is 414010. Lectures are recorded. The following links also work best in Chrome:

Lecture 1

Lecture 2

Lecture 3

Lecture 4

Lecture 5

Lecture 6

Lecture 7

Lecture 8

Lecture 9

Lecture 10

Lecture 11

Lecture 12

Lecture 13

Lecture 14

Lecture 15

Lecture 16

Lecture 17

Lecture 18

Lecture 19

Lecture 20

Lecture 21

Exercises:

There will be one exercise sheet per week. Exercise classes will take place in the same room. Please be prepared to present your answers online. Exercise sheets will be uploaded here:

Sheet 1

Sheet 2

Sheet 3

Sheet 4

Sheet 5

Sheet 6

Sheet 7

Sheet 8

Sheet 9

Sheet 10

Sheet 11

Supporting material:

Scans of what I wrote during the lecture are here:

Chapter 1: Introduction to the structure theorem

Chapter 2: Necklaces and the grid theorem

Chapter 3: The crossing theorem and graph renditions

Chapter 4: The flat mesh theorem

Chapter 5: Societies and vorticial renditions

Chapter 6: Gluing flat regions together

Chapter 7: Filing cabinets

Overview (only pictures)

There are now also lecture notes. Many thanks to Raphael Jacobs, who TeXed them, and Florian Gut and Paul Knappe for correcting them.

As well as the graph minors papers of Robertson and Seymour, parts of the lecture will be closely based on the following papers:

A generalisation of the grid theorem by Jim Geelen and Benson Joeris

A new proof of the flat wall theorem by Paul Wollan

Videos of a lecture course by Jim Geelen on the same topic can be found here.