The Core of Arithmetic Geometry

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The Princeton Companion to Mathematics

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[dibeos]

PDF link if you want a more detailed explanation:

[rabia]

I'm absolutely blown away that something that I felt was such an advanced topic has been explained so clearly and with no shortcuts. you guys are incredible, I am learning so much. thank you and please keep your brilliant work going!

[timelsen]

A great channel. Schemes would be great, as always. Seems many are not mature enough to appreciate the supreme content and gentile introductions to all advanced math's here.

[rogeriojunior]

I would really like to see more videos about this.

[olegsirotkin]

Dear Luca, This issue is very useful! If my algebra teacher explained it to me so clearly and simply, I would love algebra and remember my teacher.. thank you very much.. very professional.

[KadaKada-xb]

What a surprise that those great videos isn't popular and this channel is not most of people doesn't like great content any more

[BCarli]

Thanks. Nice introduction to the topic. In answer to your call for suggestions, I would like to see a comparison and contrast of algebraic geometry and geometric algebra.

[lightlucky]

An original suggestion would be to make a video about non-commutative geometry.

[Aidan-ep]

Can you please explain it in actual logical terms?

[DeathSugar]

9:37 wtf is W numbers which is bigger then naturals but less than integers?

[syzygycalalignment]

Could someone please tell me the equation of the cone shone at 8:43? Thank you!

[soundstudio]

I fail to see where geometry was relevant? When I clicked this video, what I hoped to see geometry applied to number theory, and this is similar to what you announced at the start: "arithmetic geometry, the field which applies algebraic geometry to problems in number theory" is the opening line. Instead, you took a number-theoretical problem, reinterpreted it geometrically, only to say it's not useful and to go back to number-theoretical arguments? This feels a bit forced... Otherwise this is an okay introduction to diophantine equations and modular arithmetic.

[plenus]

Hi, I have heard that Euler number is not defined geometrically, how true is that? Would you like to make a video about it?

[aaronmartens]

This video dresses up a rudimentary number theory argument with a far-too-ambitious title. In addition, trying to tie it all together in the end with vague generalities seems forced but also hard to follow. If you can't add anything a wikipedia article won't tell you then what's the point.

[nolsen]

How you do the animations? Manim? Geogebra?

[deltalima]

Did not follow that. Never justified why you were doing anything.