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Jean-Pierre Serre's 100th birthday edition previous:

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𓀐 @h~te=23=: I tried to read his book Linear Representations of Finite Groups but it was very difficult because of all the errors+

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𓀐 @GhVL7J4M: There was a panel about AI in math >Michael Harris >Peter Scholze >Jacob Tsimerman >Geordie Williamson Moderated by some DeepMind guy https://www.youtube.com/watch?v=H7_d_sgui6o+ 1

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𓀐 @5zYPqd+y: lol, at 10 minutes Scholze says he has never typed anything into an LLM and doesn't use a smartphont. at 11 minutes Michael Harris says LLMs are theft and should be illegal.+

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𓀐 @kQuYQDqR: I'd ask this in a physics gen if we had one but alas this board is too full of opinionated schizos to sustain one so I apologize for sloppiness. Consider L^2 or a sufficiently well behaved subspace thereof. The Fourier transform can be expressed as a linear, unitary operator in this space: [eqn] \psi(x) = \hat{\mathcal{F}} \phi(x) = \int_{-\infty}^{\infty} \frac{\exp(-ikx)}{\sqrt{2\pi}}\phi(k) dk [/eqn] [math]\hat{\mathcal{F}}^4 = 1 [/math] makes its powers isomorphic to the cyclic group [math]…+

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𓀐 @vRjHJ647: should I apply to university to learn maths or can I self-learn with chatbots?+

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𓀐 @PCHNQQm7: Fuck my life+

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𓀐 @9A8~oXja: Stupid question perhaps but: doesn't it already require the axiom of choice to pick a representative from an infinite quotient set? I would suppose you don't always have to (see for example the standard construction of the rational numbers from Z^2, since you can just pick the element with the smallest nonnegative denominator) but I wouldn't be able to give a general answer.+

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𓀐 @tkqWsTUj: I'm beginning to I won't know anything substantial about Topology from this undergraduate topology course.+ 1

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𓀐 @Jf*g563s: Intro topology is designed for analysists just like intro calculus is designed for engineers. If you were expecting to learn about coffee cups and donuts then you'll probably have to wait for the next level course.+

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𓀐 @DR6ZEboK: can anyone with access reup this shit https://link.springer.com/article/10.1134/S0081543824020111+

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𓀐 @P2P_Z=zK: Not sure where else to ask this, as I'm afraid that bringing it up candidly to my professors may (possibly subconsciously) cause them to write me a less-emphatic recommendation. Lately it seems like all published math will be divided between pre-2026 and post-2026, with post-2026 work essentially having an asterisk by the authors' names to indicate that they should be given significantly less respect/prestige. I'm a math major who's currently applying to graduate school, and am coming to grips…+

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𓀐 @GJsj2uL*: Some guys did a panel after the 400 openai proofs dropped https://www.youtube.com/watch?v=voDtZqijetw+ 1

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𓀐 @6WRW=RzV: tl;dr? or tl:dl?+

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𓀐 @Es~?FZrt: Some of us actually enjoy solving problems ourselves. It's a triple digit IQ thing, you wouldn't get it.+

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𓀐 @56w4SonB: Saw the OpenAI announcement today. I'm not smart enough to know if this is a big deal or not. It seems like a big deal. Can someone fill me in?+

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𓀐 @9H3eDro8: If you haven't been cited by an AGI, you're basically a non-mathematician. https://citedbyagi.com/+

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𓀐 @xxsazCJp: Math is not the most important thing to the development of civilization at all. Unless you consider engineering maths, but you really shouldn't because engineering doesn't required any proofs to work, only precise calculations. Pure mathematics is completely useless, a logical game, perhaps the most beautiful game ever invented by men, but still just a game.+

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𓀐 @p3ZgjYE?: Why wouldn't this work?+

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𓀐 @gpx3RB+t: Not really. There used to be a lot of high quality posts even during the COVID /pol/spam era. I remember there being one anon who would post interesting questions with that Stein's;Gate girl's picture.+ 1

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𓀐 @K6TsX=cz: I've actually got a backlog of simple but interesting problems that I could post periodically, sort of olympiad-style. I'd considered doing this before but decided against it because of the danger of you-know-what shitposting, but if there's some genuine interest in it I could drop a Kurisu picture every now and then.+

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𓀐 @E~z?Y-xb: Okay, here's one. I might post like one a week or so if they don't engender too much shitposting. Difficulty may vary. Sorry, I don't post hags.+ 1

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𓀐 @Q9FKhtay: The second one feels related to spin, which I noticed when I realized that this formula works for like only half integers including negatives prob, which suggests some sort of recursive decomposition or wtv. So like, [math] \begin{array}{r c l} x^0 = (x^{1/2})^0 = \left[ \tfrac{1}{2} \right]^0 := & [0] = 1[0] & = (1, 0,0,...) \\ x^{1/2} := \left[ \tfrac{1}{2} \right]^1 := & \tfrac{1}{2} & = (0, 1, 0...) \\ x^{1/2} \otimes x^{1/2} := & \tfrac{1}{2} \otimes \tfrac{1}{2} = 0 \oplus 1 = 1[0] \oplus…+

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𓀐 @C2WPnyin: >Unbelievably based. And the LLM users predictably have to deny reality. You sound like a deranged anti-AI mobster.+

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𓀐 @xUEC7XNb: For those who continue to study math on their own after graduating from uni, what is your motivation behind this? I know it's just a curiosity but how do you keep yourself encouraged to do this?+

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