Lectures will happen on Tuesdays and Thursdays, usually at 14:00. However:
On some Tuesdays I will not be able to give the lecture at 14:00.
In the first week of the course, we can discuss an alternative time.
To check where the lectures have got to, see the
progress page.
Handwriting from lectures
Images captured on the visualiser during lectures can be seen here:
Images from previous lectures can be downloaded below.
Week 0, Tuesday lecture
Week 0, Thursday lecture
Week 1, Tuesday lecture
Week 5, Tuesday lecture
Lecture notes
I will use PDF slides in the lectures.
Aditionally, there are three more files of notes:
We will work through the highlights of [CSC], skipping some
details. This will define the cohomology ring $H^*(X)$ of
a topological space $X$, and prove some key properties
(the Eilenberg-Steenrod axioms). This will rely on some
material from [ATAG], which we will also review. After
proving the Eilenberg-Steenrod axioms, we will be able to
use them to calculate $H^*(X)$ for many spaces $X$ without
further reference to the actual definition of $H^*(X)$. We will
spend a large part of the course working through [ECS]. This
describes the topological properties of a range of interesting spaces
that occur naturally, and calculates their cohomology rings, some of
which have a rich and interesting structure.
All the above files are in reasonably good shape, but nonetheless
I may upload updated versions as the course progresses.
Interactive demonstrations
There is a set of interactive demonstrations
explaining many of the ideas in the course. I will talk through some of
these in lectures, there are attached YouTube videos, and you can try them
yourself at other times. These are experimental and under development. I
welcome comments about the extent to which they are comprehensible, useful
or interesting.
These were originally prepared for a different course, so not all of them
are directly relevant for MAGIC064.