#Infinity sphere
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A stimboard for One-One from Infinity Train!
⚪-⚫-⚪
1️⃣- x -1️⃣
⚪-⚫-⚪
#stimboard#infinity train#one one#moodboard#stim#black#white#robot#robotic#mechanical#hands#bow tie#trains#transport#transportation#public transport#sphere#phone#visual stim#tactile stim#plant
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STAR TREK DISCO SPOILERS
the fuck you mean Hermitcraft survived the burn??????????????????????

#YOU GUYS GRIAN IS CANON TO STAR TREK DISCOVERY WHAT THE FUCK ?????? HERMITCRAFT X STAR TREK?????#I expected many things out of Discovery season 5 but not this?????#i mean its pretty obvious to call it an infinity room and star trek has certainly done infinite white voids befre (Q; sphere builders)#but still i love that it has the same name#hopefully some other hermitcraft and trek fans can get a kick out of that#star trek discovery spoilers#discovery spoilers#disco spoilers#star trek discovery#hermitcraft#grian
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#circle limit IV#angels and devils#1960#m. c. escher#infinities#sphere#frame of reference#it all depends on the scale
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Yayoi Kusama’s infinity mirror spheres.
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My top listened albums of 2024
#music#personal#lastfm#aphex twin#boards of canada#sport3000#christtt#infinity frequences#kettel#idm#ambient#vaporwave#synthwave#squarepusher#withering spheres#blank banshee
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Infinite, intricate overlapping continua; web of webs. Simulation of simulations.
The painter painting the painter painting the painter...etc.
#god#mental illness#schizophrenia#infinity#spectrums#4d sphere#against duality#multiplicity#borderline personality disorder#bpd
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earth is flat confirmed by a physicist
#nevermind that he specifically said it’s not#he also said that it looks flat when you zoom in on a sphere so R approaches infinity#so basically the earth is flat#physics#math
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Coldplay India Concert 2025: Your Guide To Buying ‘Infinity’ Tickets – Dates, Prices, And Seating Details | People News
Coldplay, one of the world’s most beloved bands, is making a grand return to India in 2025 with their “Music of the Spheres World Tour.” Fans are eager for this once-in-a-lifetime experience, following their last concert in 2016. If you missed the initial ticket sales, don’t worry – you still have a shot at securing your spot with the special Infinity tickets. Here’s everything you need to know…
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The Heart of Infinity
As the sunset eventide sang her sweet chorus, A vision of remembrance, came to me, “I remember you” We were nestled, deep in the heart of Infinity, Souls in ecstatic dance, in the orbiting of the spheres, There is no longing here, Only the rhapsodic elevation of our light bodies, As we defy the earthly confines of gravity, Here we are free to twirl and spiral, Into the sublimity of…

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#awakening#Beloved#Consciousness#Creator#Dance#divinity#eternal#galactic#heart#infinity#longing#Love#love consciousness#mystical poetry#oneness#remembrance#rhapsody#song of the spheres#soul#SoulSong#spiritual poetry
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Shit man, this math war is fucked. I just saw a guy draw a commutative diagram and say "one point compactification" or some similar shit, and everyone around him got folded into a 3-sphere and vanished into 4d-space. The camera didn't even go onto him, that's how common shit like this is. My ass is casting ε-δ and quotient spaces. I think I just heard "infinity-groupoid coskeleton tower" two groups over. I gotta get the fuck outta here.
#mathblr#shitpost#some other great spell names:#torsion group#forgetful functor: set#nash embedding#orientation reversal#jet bundle#sheafification
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Rick Sanchez-level intelligent Reader who casually opens a portal to the wasteland where all the Marks are and takes Angstrom with them.
He glared at you. “Who the Hell–”
Your palm slammed against his face so hard spit flew out his mouth.
One of the Marks whistled and another guffawed, but you ignored them. You grabbed Angstrom roughly by the collar.
“All that knowledge and you act like the biggest dingus across a hundred realities.”
“What are you talking about?”
“Going after every version of Mark Grayson? You set off a chain reaction, dumbo.”
“He's a menace to society, they are a plague–”
“Listen, idiot, infinite versions means infinite possibilities. For example, what happens if you kill a Mark Grayson whose wife goes on a rampage and kills infinite versions of you? Then a version of your son decides to go after her in every reality? And then the cycle is passed onto her daughter or son or mother–do you see where I'm going with this? This grand-scale act of petty revenge means destruction for the multiverse.” You got up, spraying your hands with sanitizer.
“They're all scum! Every universe..." He clenched his fists. “All those countless worlds, in every single one of them, he is a heartless monster! If my own death means they lose then–”
You introduced the sole of your boot to his face. “Did you fail middle school or something? Your human definition of countless is nothing in the face of infinity. Every evil iteration you encountered, somewhere there is one who made the opposite choice, you fucking twit!” You forced down your knee until he fell on his back, the sand turning into a fog from the force.
You sighed and then turned to face the reflections of your husband. Shoving your hands into the pockets of your lab coat, you relaxed into a smile. “Hello, Mark.”
Their faces were a mix of shock and suspicion, though in their hearts they couldn’t help but be impressed.
You chuckled. “It’s been a while since I’ve seen your face look like that, but I guess that’s what being married for over a thousand years does to us.”
“You’re not afraid of us,” the one without a mask stated, arms and legs flexed.
“How can I possibly feel anything but love for you? Every single one of you is a version of the man I adore.” You paused and then shrugged. “Unless one of you cheated on a version of me with that Eve girl.” Disregarding human rights was your bread and butter, and genocide was nothing to you, but adultery? That’s a turn off.
The one with a mohawk, turned speechless for once, glanced at the unconscious Angstrom. “Shouldn’t we grab him?”
Just as he said that, Angstrom started gaining consciousness. The variants were poised to speed blitz him but you just made a face of irritation before pulling out a silvery sphere from your coat.
The sphere split into three discs. The top part kept Angstrom in place with a powerful gravitational field while the middle portion shone a light over his body. “Analyzing subject genome… Running simulations… Simulation complete.”
The middle and bottom portions manifested large robotic limbs armed with scalpels, lasers and other gadgets. “Prepare for recombination.”
Looking at Marks’ surprised faces, you giggled. “Nanites,” you explained.
In a matter of minutes, Angstrom’s grotesque mutation was gone. The middle and bottom discs presented him with mirrors to show the result of the surgery.
“H-how…” He gawked at his reflection. He looked like he did before all of this. “All those doctors and professionals, not a single one of them could cure me.”
You leaned down and pressed a condescending finger on his forehead. “You’ve been to what, a few thousand realities? Tsk. Clearly you haven’t even scratched the surface of ‘countless’ when you haven’t met me.”
You turned towards the Marks. “I took away his portal abilities and special physique so do be careful when you take your anger out on him.”
“If you took away his powers, then how the Hell are we supposed to leave?!” The one with a veil demanded.
Your face blanked.
In a split instant you were right in front of him.
He nearly fell down on his ass.
You giggled, “Pissing off someone who clearly surpasses you? You’re so cute, Markie. I forgot how hot-blooded you can be.”
You glanced around the others. “Relax, I wouldn’t leave you guys to die out here.” You snapped your fingers and the discs cut into the air, forming a door. “This portal will scan your quantum composition and take you to your respective reality of origin. Pretty useful, huh? It will ensure that no one gets lost and–” You threw a look at the Mark wearing black and yellow “–no outsider can take over your reality.”
“Why should we trust you?” The Mark in Omni-Man’s costume asked what everyone else was thinking.
You shrugged again. “Well, you don’t have to, but what other choice is there?”
The air split.
Two Marks tried to grab you but you were gone from the sand.
“Think about it, sweeties!” You yelled as you stood in the air above. “Unless one of you ding-dongs can vibrate fast enough to phase through time and space, you either rot here or you pass through that door.”
The fully masked Mark flew right next to you. Your feet were flat as if they were still on the ground. “You’re… not flying.”
“Hm? Oh, no. My boots can manipulate the atoms of anything, including air, so I can walk on them. Personally, I find it more impressive than walking on water, and much more efficient than having to alter the air to thrust myself into flight.”
Your little sphere beeped. “Doctor, the cake has finished baking. Shall we leave now?”
“Almost forgot about that.” You beamed at the Mark floating beside you. “Gotta go now. You boys enjoy your playtime.”
a/n: a short little imagine i wrote during my breaktime. granted, reader feels more like a herta and rick sanchez mix. but whatever.
#invincible#reader#y/n#mark grayson#imagines#mark grayson x reader#invincible x reader#invincible x y/n#isekai#rick and morty#rick sanchez#gn reader#invincible variants#invincible war#genius characters are hard to write jc
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hyperbolic geometry is the only one without any restrictions on what polygons can tile the plane. like with spheres you gotta be cognizant of the shapes meeting each other at the other side and in euclidean geometry theres no curves so everything's got rigid proportions that don't change when they're bigger or smaller, but in hyperbolic geometry u can simply find the correct curvature to make the tiling work (or the correct size for a shape to be in a given curvature) and it works. you can have infinite infinity-gons meeting at each vertex, the vertexes just need to be at infinity & also all the shapes need to be tangent with infinity simultaneously but its big enough for that
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hey everyone i know it's been a hot minute since my last review, but i've been cooking up a banger for you all. today i'm going to be reviewing all of the time prisons!
TIME CUBE: 7/10 - first up we have the time cube. it's what everyone thinks of first when they hear 'time prison'. there's nothing to do, time loses all meaning, and your mind eventually stops functioning. what more can you ask for? good for a low budget. TIME SPHERE: 5.5/10 - the sphere is a definite downgrade from the cube. you can't tell where the boundary is but you can feel yourself going around in circles. it's like, pick one or the other! not ideal. TIME TETRAHEDRON: 9/10 - honestly i underestimated the tetrahedron. it really hits the spot. the frozen yet rapidly passing-you-by world outside gets refracted really cool bc of the angled faces of the tetrahedron. big ups from me. TIME TESSERACT: 10/10 - the classics are classics for a reason. the tesseract is just perfect. you're in an incomprehensible but simplistic space, in leads into itself, and it's even self-similar no matter where you go. can't recommend enough. TIME CALABI-YAU MANIFOLD: 4/10 - this one has flair, and that's about it. you think it's gonna be some awesome, psychedelic space, but you get in and it's basically a cube. the extra dimensions are there, but you can't really interact with them at all. pretty disappointing. TIME 0-BRANE: 1/10 - ah, the point. 0 dimensional space. i couldn't not try it. but, really, it just sucks. with no reference for anything, nor any space for consciousness, it's essentially a timeskip. you don't feel anything. also, it seems really easy to come out of it and you've accidentally gone all the way to the heat death of the universe. i'd avoid unless you're an experienced user. TIME 1-BRANE: 2.5/10 - even though the 1-brane isn't actually infinitely long, when you're inside, it feels like it is. being stretched out to infinity is not a pleasant experience whatsoever. if you're into that though, this is probably your piece of cake! i don't judge <3 TIME 2-BRANE: 9.5/10 - unlike it's siblings, the 2-brane is actually really good! it's essentially being trapped in flatland, but without all the other shapes. just an endless expanse for you to explore, never finding anything. i'm surprised the 2-brane is so underrated! TIME RECTANGULAR PRISM: 3/10 - this one just feels wrong. you can viscerally sense that the dimensions around you aren't equal. reminds me of the slight spaghettification you get when you approach black holes. not for me and probably not for you. TIME 32-CUBE: 6/10 - this is the tessaract kicked into overdrive. utterly indecipherable. this is probably the fastest sanity destroyer on the market. TIME TORUS: 8/10 - this one was fun, because you can just go around and around and never get anywhere. plus, having 2 distinct areas, the inner and the outer, was a unique feeling for a time prison. good for a first timer i reckon. TIME GABRIEL'S HORN - 0/10 - this one is astoundingly horrible. you just fall down towards the bottom, never reaching it, getting squished smaller and smaller. but, you never actually reach that 'point' moment, so it's agonisingly unsatisfying. unfun and kinda painful, do not recommend. TIME MANDLEBROT - 9.5/10 - fractal geometry was made for this stuff. no matter where you go, how deep you go, you'll end up in the same place. it's perfect for getting that 'never ending, repeating nightmare' feeling. the only downside is sometimes you can accidentally stray from the fractal boundary and just end up in a void. TIME LORENZ SYSTEM - 8/10 - i didn't even know this was a thing, but apparently it is, and turns out it's great! you flow through it, and you can never predict where exactly you'll go next. it's sort of the opposite of a void - constant new stimuli. highway hypnosis vibes. definitely give this one a go. TIME KLEIN BOTTLE - 1.5/10 - this one is fun for a gag and that's it - you can just exit out the bottom. it's not an enclosed space. prisons aren't meant to have a way out.
and that's it! thanks for reading everyone, it was really fun trying all these out, i hope this helps people decide which time prison is best for them or their prisoners. check out my patreon for reviews of some more exotic time prison shapes, and i'll see you next time!
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Wrath Fueled By Victory | Satan Victory Card React | Spoilers
ITS BEEN A LONG TIME COMIN' I'm very sorry for the wait ya'll I was suppose to post this literally like before January was over and it's now nearly mid-February 💀
Ya'll know the drill, since this is a NP card, heavily summarized, a few screenshots, the usual.
Though I will tell you...this card was a MAJOR turn around from his Torture card in terms of pacing, writing, his personality shining through and through. And that date story???
Satan wants me to marry him I guess.
Butttt let's get this show on the road~
Summary
So it seems Satan is upset today because the Explosive Sphere event (wth lmaooo) has had so many victories by Gehenna that they are removing it. Like, no one else gets a chance to win because it's biased toward long-range snipers. (okay yah I guess I get that)
And surprise, surprise we get a cameo from the big granddaddy himself, Solomon! It appears that this card starts with a blast from the past, and Solomon's influence is seen in real time. Like he literally just whispers to Satan and he calms down just like that. Levi is even like >:( sit next to me and being semi-clingy and I'm just here like??? Damn that personality didn't transfer over to MC at all sorry 😭
The narration even pointed out that it wasn't that Solomon used overt logic or strength, he was simply just present, had a nice voice, and was just himself. Literally he's just that guy.
It's official, the Calvary Battles replaced the Exploding Sphere event, we're now in the future and things are underway and Satan is hyping up his men to win. Violence is allowed, so it sounds like the devils from each country are just gonna beat each other's asses until someone passes out essentially.
And the story reflects back to Luci's victory card, which honestly that shit was wild as it is. But it's nice to know that these themed cards are connected and therefore...canon lol (at least for whatever's happening, I imagine this is MC's everyday life and how it would be realistically during their time in Hell aside from the things happening in the main story)
It begins, each country planning out their battle strategies! As we see what Gehenna is up to, basically using 6 devils together in an "iron maiden" like formation with bombs attached to themselves (wild...) we have Hades (who sent Foras to spy on the Gehenna devils...) and they are using the 9 Apostles that will come out from 9 coffins, Levi will be wearing rings (sounds similar to the infinity gauntlet lmao who is he thanos?) to show his bond with them so they can work with Hades.
And not only that ya'll, a fly was spying on Hades...and we go over to Abyssos and they plan on hiring Abaddon devils from the Red Light District as mercenaries! (Nabe's idea btw, Stolas apparently just wanted to shoot everyone too the little angry birb) And then, while folks in Abyssos were placing their votes for a bet...there's this one devil that's confident that Abyssos will lose? Turns out....he's a spy for Tartaros 😭 (this is so wild ya'll)
I want to add that Tartaros had a transforming fortrace and they didn't even have plans for a stage 3 and Mammon was like "Ah pay the devil who suggested stage 3 and we'll get right to it" MAMMON PL SSSSSSSS what do you mean you didn't have more than two stages helpppppp.
And now, we're also looking into Paradise Lost, Gamigin wants to participate so badly to show that healer's aren't weak, even offering to turn into a complete dragon or to lend Lucifer his powers? (I bet he can do that tbh) and this entire display of the other nobles treating Gamigin softly about it, has Luci convinced to join in the battles (seems like he was going to not participate just out of choice, since I mean he won the horse races and got his prize already)
Then we get a visitor??? ZAGAN THE BABES <3 He shows up to Paradise Lost to ask the nobles to not participate this time around, only because he's worried that some devil's may actually die this time because MC is the prize. He doesn't want Satan most of all to get hurt, and it really shows us more of Zagan's personality. He went there of his own accord, is worried about his King and others, and is asking for standby help to prevent a possibly tragedy. Love him.
I'll be very brief about the battle, Satan won lmao. And it wasn't like the other's didn't try it's just...even with all the spying and cheating, Satan still came out on top and he did it so flawlessly too.
And the way he grabbed MC as his prize and whisked them away? I love it when it does that. So cocky, so....him. Phewww
So I'mma just say rn, I needed one of Beleth's cigarette's after reading the smut with Satan. Like ya'll we got backshots, for whatever reason MC was describing being fucked like a bitch in heat, but whatever I might as well be cause I'm a sucker for backshots and that's something Satan should like too because it gives him good range to smack that ass.
Also, so commanding, being mad about MC being so cute, saying that he's in charge so there's no reason MC should be ordering him around. MC gave him head, he was throatfucking, and because he had consumed devil's blood beforehand it seems that made him harder, bigger (more swollen), and just more unhinged and hornier than usual.
Bonus: they came at the same time, after ya know he made them cum like 9 times before that
And one thing Satan is always gonna do? Put MC to sleep. Which happened, he was being cute at the end, and MC just passes out. All of this in an alleyway mind you...Satan freaky asf fucking outside with the possibility of getting caught.
Screenshots!!
Okay Levi didn't let me down, he always got something to say...but this time??? All he's doing is affirming my ship delusions again
And damn Grandpa Solo....okay
He really said "make sure you get that ready for me" meaning....your hole MC...he's got a lot of time to make up since the horse racing event
AYO??????
Masked men are my kink so, Amy and I bout to fuck na s t y yyyyyyyy (though this seems dangerous and he can't see out of the damn thing lmao)
lemme suck them titties
Mammon out here got a damn transformer and bringing it to the fight I'm done lmaooooooo
Oh??? But they say he can't turn back into his devil self if he transforms....but me being me....
i'm down for full dragon Gamigin let's go

this sums up how I felt about this particular thing
Someone get this man some oranges to help him calm down lmaooo
Aight PB stop fueling me with arsenal...good arsenal at that because word on the street is....i might have written a little something something during my away time....
He is so boyfriend, I'm crying like??? This face???
"It's starting to hurt..." and he was referring to his dick....my gawd let me grind on it and make it hurt morrrrreeeeeeeeeeee

IDK IM FEELING SO MUCH EMOTION RN
*also to note this position he's sitting in for this card was my favorite and he kept his shoes on idk I was feeling things*
Date Story and Chat Summary!
I think it's funny that Satan pretty much just says outloud that he had good sex with MC and everyone is like :O and MC is like 🙃🙃🙃💀😭 and I'm over here like??? Okay, now I do understand not wanting your business out there, but???? Lol
Paimon thing: He likes shy ppl and certified hoes who open their legs too, so basically ya'll you're his type no matter what I guess💀
So the date ends up being that he takes MC to his private motorcyle repair shop! He's being so domestic and soft here you almost forget he gets angry and prefers to fuck roughly lmao
But also, a big thing we learn is Satan's love language of physical touch. He doesn't say things with words, it's all actions, so you could even say that Acts of Service, is also another love language for him! He really is very affectionate, and I love that so much about him.
But the main point being that he treated this date like how any regular degular human boyfriend would, and I think...that's really what sets him apart from the other devils! He has that sense of "normal humanity" to him when he feels like it and it brings you back to a sense of comfort. Now, I have yet to observe this behavior from the other devils, as I feel it's touch and go from what we get per story, BUT yes...
Btw it seems that Satan really likes bringing up how good the sex is, because he was doing that in the chats and even had a point in time where he was like "yeah it's big again, I'm going to you now." Like my guy literally was like
my dick hard so, i'mma bout to come fuck you <3
While also texting on his bike at that...like? lmao
Fun fact: During the hell events, the seraphim and the angels used to come down to try and take advantage of that but they pretty much got beaten up and when Luci started participating they pretty much stopped showing up altogether
Also, it seems Levi really was upset about losing twice 💀 but strangely enough, Satan doesn't think he's the petty type (I beg to differ, maybe not petty towards you Satan). And he thinks he's a real man even though others call him feminine. This is interesting to bring up though because I'm like...huh yeah Levi's a pretty boy, that's his thing, though I don't think it's a hinderance to anything. that attitude sure fucking is though.
And there we have it folks!!! That's pretty much everything in the card I can sum up for. It's quite obvious my score on this card is....
10/10 let's go
I really did enjoy this card way more than Satan's Torture one. Again, it's mostly because it had the same writing format at Levi's Torture card. A bunch of build up, some lore thrown in, some comedy, and then it leads up to the smut and it's pretty much it from there. Not solely focused on the smut only, it was pretty long, and we get to see the nobles and kings interact once again. Now, sadly since this was a true NP card, that means if you didn't get him this time around, you'll have to wait for them to bring it back in the future. Which I would recommend getting this card if you're a Satan fan! The date story was super cute too.
Now...it's on to Mammon's Victory card which from a quick glance, it was much shorter? Man they never do that devil justice when it comes to creating card content from him majority of the time, BUT I'll see ya there <3
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Ooh something to do on this bus ride!
So, somehow infinity categories are really just giving you a tool to talk about homotopy coherent things easily. Once the formalisms are built, you do sorta normal category theory and it's all homotopy coherent, aka derived. Just take a limit, it's derived by default.
Everything you normally have in category theory, like Beck monadicity, you still have, eg as Beck-Lurie monadicity.
Once you have this, you can eg easily define spectra. There's the usual Schwede Shipley theorem saying derived categories of a ring are equivalently stable module categories of spectra. You can do algebra over the sphere spectrum like over any other ring, more or less. It brings a lot of conceptual clarity.
One very specific example, which isn't a theorem of infinity categories but just an example of this conceptual clarity, is the definition of algebraic K theory. Or maybe this is what you're looking for, it's a theorem of algebraic geometry which was only ever obtained with infinity categorical tools.
For decades, the definition of algebraic K theory used pretty darn complicated constructions. K_0(R) for a ring R is the abelian group completion of the category of iso classes of finitely generated R-modules, with direct sum as the monoidal product being group completed. K_1 and K_2 had definitions in the 50s and 60s, and in the early 70s Quillen found a clever way to define higher K groups as higher homotopy groups of a certain space. This was upgraded to homotopy groups of a spectrum, but the constructions are all fairly complicated, with a lot of fiddly bits and pieces. They involved either an explicit cellular construction killing lower homology groups, or a fancy span construction, or a construction which explicitly inverted some analogues of fiber sequences that are n-long, imposing some kind of additivity. He then computed K theory of finite fields and won a fields medal.
Infinity categories have allowed for a universal property of algebraic K theory. It's the universal additive invariant. Any invariant taking perfect categories - things that look like module categories - into a stable category, and which takes a co/fiber sequence of perfect categories to a fiber sequence of spectra, factors through additive K theory.
Somehow for decades people strived for this definition, but couldn't state it formally because no one had a sufficiently powerful language, and infinity categories filled this gap.
There are formally things that you can say with infinity categories that model categories can't express, I've heard about this in the land of coalgebras, model theory somehow can't capture sufficiently wiggly homotopy coherent coalgebras, they're all too strict, but infinity categorical language can handle it.
So to answer your question, infinity category theory itself kinda has no major theorems itself, other than many theorems which say "every construction in 1- and 2-category theory works in (infinity, 1)- and (infinity, 2) category theory". Limits, adjunctions, Kan extension, yoneda lemma, mapping functors, Grothendieck constructions, operads, monadicity, you name it. The main thing that infinity category theory lacks is the ability to construct functors with your hands, you can't just say what happens on objects and morphisms. This leads to much technical grief.
For algebraic topology, the recent disproof of the telescope conjecture has been a hugely celebrated result which closed a 40 year old problem, saying the categories of K(n)-local spectra and T(n) local spectra are not the same. I won't try and explain further, I'm fairly fuzzy on it. But the proof used infinity categories everywhere, and was searched for and not obtained before. The disproof examines Galois extensions of ring spectra, and finds a certain chain of such that exist in one category but not the other. This is a (vaguely explained) example of how higher algebra is facilited by infinity categories. Perhaps one could do it by other methods, but, well, it wasn't done, and I suspect there may be actual technical reasons for this. So while I can't really explain why, I am fairly confident that "doing algebra over ring spectra," which Goodwillie dreamed of in the 70s as "brave new algebra", wasn't really very feasible until infinity categories came along. I mean, people did it! But since the advent of infinity categories the field of higher algebra has advanced in leaps and bounds. Chromatic redshift in algebraic K theory is a related major recent result, again with infinity categories.
These are results from 2013 (published) and 2024 (preprint) respectively, so, fairly recent. Another development of note is a connection between a topological version of hochschild homology and p-adic Hodge theory in arithmetic geometry due to Nikolaus Scholze and Bhatt Morrow Scholze, something about crystalline cohomology like Grothendieck wanted? Or generalizing Grothendieck's prismatic cohomology? I'm unsure. But Scholze is the only Fields medalist who's come near algebraic topology recently, so this got a lot of attention, and this work used infinity categories extensively.
Tl:Dr, no theorems of infinity category theory, the universality of algebraic K theory and the disproof of the telescope conjecture are two big theorems which use infinity categorical tools, and the main advantage is that infinity categories directly let you do homotopy coherent mathematics, you have an actual (infinity) category where a limit is just automatically derived, and this means you can just do algebra with spectra, and this is what everyone really wanted to do for 4 decades and now can.
I am wondering if anyone here can offer me a bit of insight into what the "big theorems" of algebraic geometry and/or algebraic topology obtained by infinity-categories are. The Beck's Monadicity Theorem's of the subject, so to speak. Just trying to get a feel of what the formalisms are building towards.
#some people I work with#I wont name names#Seem to have no interest in learning about infinity categories and doubt their efficacy#Even though many (perhaps every?) major advance in the past 15 years has used them.#(I don't know if computations of stable homotopy groups of spheres used infinity categories#they may be foundation agnostic#)#There's still lot's of good work done in model categories!!#lots!#math#effortpost
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Charlotte Genre Guide
My top 5 favorite/recommended albums from each of my favorite genres!
Stoner/Doom Metal
Master of Brutality by Church of Misery (2001)
Variations on a Theme by OM (2005)
Blood Lust by Uncle Acid and the Deadbeats (2011)
Soma by Windhand (2013)
Book of Rituals by Saturniidae (2023)
Dream Pop/Shoegaze
Love Songs for the Chemical Generation by Daniel Land and the Modern Painters (2009)
The Glow by Gold Celeste (2015)
Lucid Express s/t (2021)
Daydream Twins s/t (2022)
A Fusion of Two Hemispheres by Sphere (2022)
Vaporwave
无限渴望 by Virtual Dream Plaza (2016)
一人で by desert sand feels warm at night (2019)
Soul Visioning by MindSpring Memories (2021)
Dream Desert by desert sand feels warm at night (2022)
Desert Memories by desert sand feels warm at night & MindSpring Memories (2023)
Psychedelic Pop
The Satanic Satanist by Portugal. the Man (2009)
Multi-Love by Unknown Mortal Orchestra (2015)
Skiptracing by Mild High Club (2016)
Jinx by Crumb (2019)
Raw Honey by Drugdealer (2019)
Psychedelic Rock
Parachute by The Pretty Things (1970)
In the Mountain in the Cloud by Portugal. the Man (2011)
Nonagon Infinity by King Gizzard (2016)
High Visceral Pt 1 by Psychedelic Porn Crumpets (2016)
Face Stabber by Thee Oh Sees (2019)
Progressive Rock
Shine on Brightly by Procol Harum (1968)
Lizard by King Crimson (1970)
Crime of the Century by Supertramp (1974)
Hope by Klaatu (1977)
blomljud by Moon Safari (2008)
Hard Rock
Black Sabbath by Black Sabbath (1970)
The Man Who Sold the World by David Bowie (1970)
Restrictions by Cactus (1971)
Satori by Flower Travellin' Band (1971)
Pieces of Eight by Styx (1979)
Rap
Licensed to Ill by Beastie Boys (1986)
3 Feet High and Rising by De La Soul (1989)
The Low End Theory by A Tribe Called Quest (1991)
6 Feet Deep by Gravediggaz (1994)
Shade of Blue by Madlib (2003)
Funk
Hot Pants by James Brown (1971)
Fantastic Planet Soundtrack (1973)
Standing on the Verge of Getting it On by Funkadelic (1974)
Hustle With Speed by The J.B.'s (1975)
Directstep by Herbie Hancock (1979)
Jazz Rock
Chicago Transit Authority by Chicago (1969)
Aja by Steely Dan (1977)
Junta by Phish (1989)
A Thoughtful Collapse by Vathaken (2020)
Middle Hand by Tytus & The Left-Handers (2024)
Jam Band
Rhythms From a Cosmic Sky by Earthless (2007)
Summer Sessions Vol. 2 by Causa Sui (2009)
Solar Corona by The Machine (2009)
The Doomsday Machine by Electric Moon (2011)
299 by Bull of Heaven (2013)
Disco
I Remember Yesterday by Donna Summer (1977)
Dazzle by Dazzle (1979)
Hills of Katmandu by Tantra (1979)
Tako Tsubo by L' Impératrice (2021)
Chorus by Mildlife (2024)
276 notes
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