Topology Qual Workshop 2023

Tuesdays/Thursdays in Skye 268

1:00-2:30pm

Wednesdays on Zoom

1:00-2:00pm

Introductions, and explained schedule of the workshop

No Math done today

Lecture on Van Kampen's Theorem

Discussed Worksheet 1

Lecture on covering spaces

Discussed Mock Qual 0

Lecture on compactness, connectedness, and continuity

Discussed Worksheet 2

Lecture on Simplicial Homology

Lecture on Singular Homology

Discussed Worksheet 3

Lecture on Cellular Homology 

Discussed Mock Qual 1

Discussed Worksheet 4

Lecture on Smooth Manifolds

Lecture on Smooth Embeddings

Discussed Worksheet 5

Lecture on Submanifolds

Discussed Mock Qual 2

Lecture on Vector Fields

Discussed Worksheet 6

Brief Lecture on Flow & Lie Derivative

Discussed Mock Qual 3

Review of Workshop

Good luck!