[ANT13] Dedekind domains, integral closure, discriminants... and some other loose ends
In this video, we see an example of how badly this theory can fail in a non-Dedekind domain, and so - regrettably - we finally break our vow of not learning what a Dedekind domain is.
![[ANT14] Eisenstein polynomials and Strassmann's theorem, via a cubic example](https://i.ytimg.com/vi/R3eUz_Sm_vs/hqdefault.jpg?sqp=-oaymwFBCNACELwBSFryq4qpAzMIARUAAAAAGAElAADIQj0AgKJDeAHwAQH4Af4JgALQBYoCDAgAEAEYZSBlKGUwD7gC9xg=&rs=AOn4CLDuExLZ2pdezq984viAV75TKiqaPQ&usqp=CCc)
▶︎
[ANT14] Eisenstein polynomials and Strassmann's theorem, via a cubic example
![[ANT07] Units and logarithm space (+ bonus theorems)](https://i.ytimg.com/vi/bDs-74plu5A/hq720.jpg?sqp=-oaymwEbCNAFEJQDSFryq4qpAw0IARUAAIhCGAG4AvcY&rs=AOn4CLDJP057lgV0nPvQEQ0tM8tvv-W0LA&usqp=CCc)
▶︎
[ANT07] Units and logarithm space (+ bonus theorems)
![[ANT04] Counting ideal classes](https://i.ytimg.com/vi/cx1WH9KP1YY/hq720.jpg?sqp=-oaymwEbCNAFEJQDSFryq4qpAw0IARUAAIhCGAG4AvcY&rs=AOn4CLA92vPdtC328D-vuUF5pwYHKF4sSw&usqp=CCc)
▶︎
[ANT04] Counting ideal classes
▶︎
A Simple yet Powerful Math Trick
![[ANT03] Ideal factorisation: recovering uniqueness](https://i.ytimg.com/vi/jE7pxr1nzfc/hq720.jpg?sqp=-oaymwEbCNAFEJQDSFryq4qpAw0IARUAAIhCGAG4AvcY&rs=AOn4CLDG0gXnRWWpxkrzCX8_4FtcvkXzkQ&usqp=CCc)
▶︎
[ANT03] Ideal factorisation: recovering uniqueness
▶︎
The most beautiful formula not enough people understand
▶︎
Smooth-Maximum, the most useful function
▶︎
We're 99.9% sure this pattern is true, but no one can prove it
▶︎
From Child Prodigy to Winning Fields Medal, Nobel of Math
▶︎
Something strange happens when you "bump the base"
![[ANT15] p-adic integers: a primer, and an application (part 1)](https://i.ytimg.com/vi/SwbJmKbFo7o/hqdefault.jpg?sqp=-oaymwFBCNACELwBSFryq4qpAzMIARUAAAAAGAElAADIQj0AgKJDeAHwAQH4Af4JgALQBYoCDAgAEAEYWiBZKGUwD7gC9xg=&rs=AOn4CLAG0Tu0cPjUJMzO6GOoFr2k25VrFw&usqp=CCc)
▶︎
[ANT15] p-adic integers: a primer, and an application (part 1)
▶︎
Judge Can’t Stop Laughing At Sovereign Citizen’s Courtroom Meltdown!!!
▶︎
Ramanujan's favorite coincidence (it's not a coincidence)
▶︎
The Richest Country Is Pretty Mid Now
![[ANT06] Real and imaginary embeddings](https://i.ytimg.com/vi/doZ78MtXSGM/hq720.jpg?sqp=-oaymwEbCNAFEJQDSFryq4qpAw0IARUAAIhCGAG4AvcY&rs=AOn4CLBBBj81ZFlkypwYXcsg38a2vD-2Cg&usqp=CCc)
▶︎
[ANT06] Real and imaginary embeddings
▶︎
The Truth About Depression - Dr Joanna Moncrieff
▶︎
Dedekind domains: Introduction
![[ANT12] Quadratic reciprocity and prime factorisation](https://i.ytimg.com/vi/5D7B0KIs3JA/hqdefault.jpg?sqp=-oaymwEnCNACELwBSFryq4qpAxkIARUAAAAAGAElAADIQj0AgKJDeAG4AvcY&rs=AOn4CLDOFKqhY61XvGwQAQhVpzwpBQsDMg&usqp=CCc)
▶︎
[ANT12] Quadratic reciprocity and prime factorisation
▶︎
William Dunham, A tribute to Euler
▶︎