Math 9052B/4152B - Algebraic Topology
Winter 2015

Oral presentations

General information

Each student will give a 50-minute talk on a topic which complements the material covered in the lectures.

Your task is to explain the topic to the class, as well as answering questions. You will be graded on content, organization, clarity, use of time, and handling of questions.

Topics

Here is a list of suggested topics.

For more ideas, you can look at the website from a previous semester.

You can also browse Hatcher, in particular the sections on additional topics at the end of each chapter. Let me know if some topic interests you. All suggestions are welcome.

To discuss your choice of topic, feel free to schedule an appointment or come to office hours.

Timeline

By Friday March 13: Please send me two topics you would be interested in presenting. The choices will be finalized shortly thereafter.

March 16 - March 24: First round of meetings to discuss the chosen topics.

By Monday March 30: Submit an outline of 1 or 2 pages, containing the following.

Definitions, theorems, and lemmas you plan on stating. Also indicate which ones will be proved, briefly sketched, or only stated without proof.
Examples and applications.
Indicate which material you could cut if needed, and some optional material you could include, time permitting.

No later than three days before your presentation: Discussion meeting to go over your talk.

All presentations will be in room MC 108, the usual lecture room.

Date	Speaker	Topic
Friday 4/10 5 - 9 PM	Brendon	The Euler characteristic and the Poincaré-Hopf index theorem.
	Cameron	The cellular approximation theorem.
	John	Fiber bundles, fibrations, and the Hopf fibration.
Friday 4/17 5 - 10 PM	Rui	Vector bundles.
	Shiyam	The Lefschetz fixed point theorem.
	Roger	The classification of surfaces.
	Alan	The cup product.
Tuesday 4/21 9:30 AM - 1:30 PM	Marina	The algebraic Künneth theorem.
	Dinesh	The van Kampen theorem via covering spaces.
	Di	A generalized van Kampen theorem with groupoids.

Grading

Here are the grading criteria for the presentations.

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Math 9052B/4152B - Algebraic Topology Winter 2015