Tue 11:00 MS.05 from Tue 4th Oct 2022 Thu 9:00 B3.03 Fri 15:00 A1.01 Support class Thu 16:00 in B1.01Teaching assistant Patience Ablett
Here is the Warwick UG Handbook entry.
The information below refers to the course given in 2021-22.
Parts of this may change for the lectures starting Oct 2022
What is commutative algebra? [Sorry, no lecture capture.]
Lect 2 Dedekind domain, Existence of primes [Sorry, I forgot to
wear the microphone for first 45 minutes.]
More on DVRs Further discussion and exercises on Discrete valuation rings.
Lect 3 First ideas on Spec A and the Zariski topology
Lect 4-5 Varieties versus Spec A. Chain conditions
Lect 6 Finite length modules. An Artinian ring is Noetherian
Lectures 7-10. Completion and Hensel's Lemma
Lect 12-14 Dimension theory. Graded rings and modules and their Hilbert series
Lect 15-17 Hilbert-Samuel functions and the main theorem of dimension theory
Lect 18-22 Syzygies and regular sequences
Lect 25-29 Ext and depth - preliminary draft
Week 3 Fri 22nd Oct Week 5 Fri 12th Nov Week 7 Fri 26th Nov Week 10 Fri 9th DecExample sheet 1 Questions 1,8 and 11 are assessed questions.