@BalarkaSen I see... I mean my maths instructor agreed to discuss Galois theory with me so thats cool

Nice

I hope you enjoy it!

@AkivaWeinberger When you get to differential forms, teach me some :P

And the different bit here is that our first course is group theory instead of anything analysis

I hope so too

But yeah Balarka, PVAL, and Mike are topologists, Ted's and Eric are geometers, Secret's into miscellaneous stuff, Semi's more analysis

Btw, where is @Soham right now?

(At least I think those are accurate representations of interests? Though @Semi if I remember right it was more nuanced than just "analysis", maybe asymptotics?)

He's in a university in Kolkata. I think he's going to try for CMI again next year

I honestly don't know what Semi doesn't know.

So don't worry, we have a variety of interests represented here. An algebraic variety ba dum tss

Well, I do physics stuff. To the extent tthat analysis means rigour, I'm not.

I see. Cool. Tell him I said good luck

True, I'm going more for "favorite thing" than "knowledge"

I always thought @Semi you were a physicist

Physics grad student, yeah.

But definitely on the math/theory side of it.

Like you know a nontrivial amount of Lie theory, right?

If that counts as algebraic

That's a lie

know feels like an overstatement.

I'd say I'm acquainted with it, though

@Daminark A naive lie?

Lel

@SemiC Got it. Sure, I don't think the mathematician's "know" applies to you as a physicist :P

hah

The most advanced bit of representation theory I know is Clebsch-Gordan coefficients, and I'm not sure how that's classified

Lol rep theory is one of those "I should do that at some point" things

Clebsch-Gordan arises when you take two irreps of the su(2) algebra and tensor product them together.

but that's equivalent to a direct sum of irreps

Clebsch-Gordan coefficients tell you how elements in the tensor product correspond to elements in the direct sum and vice versa.

Coxeter the legend.

Bit trippy

"Hyperbolic translation" - Tame Impala

Available on Spotify

sup chat

Hi @Eric

anything interesting going on

Yo

@Daminark is everything ok down there

@AkivaWeinberger daaaamn

Yeah it's all good, hurricane past and gas should come back today

Mmk that's good

Hurricanes are the worst tbh

Yeah, luckily this one wasn't as bad

They'll probably get more frequent in the coming years because the climate is going to shit

Most of the flooding was rain instead of ocean water

Unfortunately

So less force

Right

@Daminark I heard Jake Paul did some serious civic duty in Chicago during the hurricane

@BalarkaSen tame impala joke was good but on mobile so can't star

bows

I love Jake Paul!:o I used to watch his vids ironically (when youtubers made fun of him), but now I'm kind of hooked

Unforgivable sin

hahahahahahahah:') omg

I mean he's kind of the Kendrick Lamar of 2017

I actually went on his site and considered buying his merch

I feel like comparing Jake Paul to k dot is crossing a line

isn't that just comparing apples with pears?

Is that degrading Lamar too much?

hey!:(

Ya

:<

@EricSilva Well he did publicly tweet about how he'll give back Kendrick's fans once they're done being Jake Paulers

Lmao

hahhahahaa lol

I would say Jake is the new Pewdiepie

that's comparable material

there's no point in comparing a rapper to a youtuber/vlogger

i hope you're serious

...

Kendrick is an actual luminary

@ShaVuklia If by that you mean Jake sounds like an idiot... then ok.

no offense

some of pewdiepie's older let's plays are neat

no I mean they're just skilled in different ways

but no more entertaining then any other random person with a half-decent mike

he curses in Swedish

you don't see a random person doing that!

Oh I wasn't responding to anything @ShaVuklia

lol you tagged me, but ok

@BalarkaSen that's not a pro.

@EricSilva I feel like I have never been able to appreciate the rap culture as much as I appreciate other music

I just wanted to make sure it was known that me saying Kendrick was an actual luminary wasn't a slight against Jake Paul

(oh never mind what I said. I thought I responded to you, but I didn't)

@Balarka I think it's easier to appreciate when you see its roots first hand in the experiences of people of color in the states. I think it's really deeply embedded into its context.

That would make sense.

@EricSilva saw him a few weeks ago, amazing show

My appreciation for it rn really has to do with how I connected to hip hop as a kid, and I attribute that really deeply to the circumstances I grew up in

@Mike holy shit that's awesome

I wanna see him live real bad

damn tour has already passed through chicago right?

I mean, rap songs are so often about personal life and thug life and neighborhood of the rappers (not to say money and fame) that I can't really connect to many of it (this is not just true for rap, but just that I see it in rap music more). Of course there are abstract hip hops I like; Madvillainy is an obvious thing off the top of my head

I also unironically like the first mixtape of Death Grips from before they were a meme, whatever impression that might give of me lol

lol

i dunno why you have to identify w something to appreciate it

Yeah @Mike, I've been too tight on money to consider going to any shows :/

i feel you

U don't but it makes it easier

I mean, I don't despise rap and get triggered whenever a rap music plays on my backyard. But, well,

Amusingly enough, what I was about to link:

Using Todd-Coxeter algorithm to find $F(2,3)$ was a royal pain in the bottom

rap music isn't my thing, but I always did like that track

$F(2,3) = \langle i,j,k | ijk^{-1}, jki^{-1}, kij^{-1} \rangle$

but it paid off: I learnt.

I tend to be less into lyrical stuff and more into instrumentals

Especially game soundtracks

I appreciate instrumentals

My main draw in the instrumental realm is Explosions in the Sky

@BalarkaSen i keep trying to check your recently watched but my netflix wont show me

@MikeM lol, i haven't watched anything

lmfao

Speaking of instrumentals I was looking into Eno's latest ambient album. Really, really good

Here is a sample

as far as video game soundtracks...

Undertale probably has my favorite tracks

Hey

@Semiclassical I have been playing Undertale on Dami's reco

lol

I'd probably put Rez and Tetrisphere up there as well

@Maks yes

Draw it

Construct a simple group of order 15207046600856689021806304083032384422188820784480256000000000000.

i got a weird question obvious and i'd like to know if you see something that i don't: the number of different arrangements of AABBCC that don't have the sequence AA is larger than the number of different arrangements of AABBCC that do have AA

it seems to be wrong

am i right?

@LeakyNun no

"Wait, but why?"

because it can be done

That's not a good enough reason for me

because the number is special

looks at number, and says in John Cena voice are you sure about that?

was i correct?

it's 50!/2

Okay now that you write it like that it's trivial

epic troll

But I only barely believe in numbers larger than 7

$A_{50}$…?

well if you tried to find what the number is it would be fun

No I don't think it would have been

That's just crunchy

alright

I dunno I guess these just aren't my style

@LeakyNun There's not much credit into recognizing a random number as 50!/2, I mean

hmm

It's easy to make these puzzles but, well,

I'm more into reasoning that can be done more internally, I guess

TIL notation $x^y = yxy^{-1} = i_y(x)$

@LeakyNun Construct a simple group of order 29377579265196076641380096622929736983

Ah yeah that's my notation! :D

do all polynomials of the form $nx^m + x^{m-1} + x^{m-2} + \cdots 1 = 0$ have their roots in the range [0,1]?

@AkivaWeinberger $\Bbb Z_{29377579265196076641380096622929736983}$

@AkivaWeinberger inb4 prime

Yerp

credits number empire

@AkivaWeinberger is that yep directed at me?

Narp

@LeakyNun it's all awful notation

@MikeMiller heh

lol

argue with Demonark

wanna know something about the Collatz Conjecture?

@Typhon Hm, what happens when you multiply it by $x-1$?

something neat?

oh god, collatz again

just say it

You're gonna love that my notation for the orbit of x under the action of G is x^G

@AkivaWeinberger idk. why?

Would help with the problem I think

Stuff would cancel

Just a sec

@Daminark ffs just $Gx$ would suffice

one can look at the Collatz Conjecture as related to the following problem

$nx^{m+1}-(n-1)x^m+1$ I think

take the polynomial $n$ where $n$ is an integer constant

It's too close to G_x which I use for the stabilizer

@Daminark not if you typeset properly

$Gx$ vs $G_x$

Handwriting?

${\rm stab}(x,G)$

@AkivaWeinberger not if you handwrite properly

Hm, that seems too violent

right, stab is good

Eh, still, I like the sharper distinction

Let's explore $\langle x,y | x^2 y^3 \rangle$

${\rm orb}(x,G,\text{all hail the orb})$