math314

Date	Topic	Read	Links
2020–01–06	Permutations
2020–01–08	Factoring permutations	[S, §1.1]
2020–01–10	Cycle type		email
2020–01–13	Subgroups	[S, §1.1]
2020–01–15	Cosets	[S, §1.1]
2020–01–17	Representations		problem set #1
2020–01–20	Morphisms	[S, §1.2]
2020–01–22	Modules	[S, §1.3]
2020–01–24	Reducibility		research
2020–01–27	Direct Sums	[S, §1.5]
2020–01–29	Semisimplicity	[S, §1.6]
2020–01–31	Schur's Lemma	>	problem set #2
2020–02–03	Partitions	[S, §2.2]
2020–02–05	Tableaux	[S, §2.3]
2020–02–07	Specht modules		outline
2020–02–10	Examples	[S, §2.4]
2020–02–12	Submodule theorem	[S, §2.4]
2020–02–14	Characters		problem set #3
	Reading week
2020–02–24	Inner products	[S, §1.8]
2020–02–26	Character tables	[S, §1.9]
2020–02–28	Tensor products		problem set #4
2020–03–02	Conjugate Specht modules	[S, §2.6]
2020–03–04	Garnir relations	[S, §2.5]
2020–03–06	Standard tableaux		rough draft
2020–03–09	Robinson–Schensted–Knuth	[S, §3.6]
2020–03–11	Viennot's construction	[S, §3.6]
2020–03–13	Increasing subsequences		problem set #5
2020–03–16	classes suspended
2020–03–18	classes suspended
2020–03–20	classes suspended		feedback
2020–03–23	Hook-length formula	[S, §3.10]
2020–03–25	Using the hook-length formula	[S, §3.10]
2020–03–27	Applications of the hook-length formula		problem set #6
2020–03–30	Proving the hook-length formula I
2020–04–01	Proving the hook-length formula II
2020–04–03	Review		final paper
2020–04	Oral exam scheduled individually Exam (14:00–17:00 in Ross Gym)		exam questions grading rubric

The symmetric group (Lectures)