what character table

I'm already confused

wtf is this magic

do you not know what a charater table is?

no

no repn theory

it's the list of traces of simple representations

@Blue ::sigh:: Thanks, it's nice to know that I'm probably not a raving lunatic at least

$\phi(\zeta) = \zeta ^n + a_1\zeta ^{n-1}... a_n = 0$

What the hell is this I don't understand

This just seems arbitrary

woaaaaahhrhrhhrhhrhrhrhrhrhrhr

rhrhrhhrhrhrhr

black science man!

yikes

that meme is so deep fried it's charcoal

could probably still sell it to an american

If you can convince a country to spell "colour" wrong, you can sell them deep fried charcoal

I'm not bitter or anything

Could someone please explain to me what it means for a linear operator to be defined like above?

Brits are crazy. How can more letters be a good thing?

@0ßelö7 did you get my skrrrra meme

or do you live under the rock

@BalarkaSen No.

sigh

Skrrrrrrrrrrrrrrrt pop pop

it's old Balarka I'm sorry

not for 0celo7

@Phase you know what's fresh? asian jake paul

my name is very close to Jake Paul

and it causes me great despair

@0ßelö7 listen to this

I know that

I just don't consider it a part of the meme world

Nope

Same first name, similar last

Jaque Paule

jaky pauly chontent chop

If I could choose, I'd go for @0ßelö7 's

Can you imagine someone unfortunately named "Jake Pauler", born at a date that makes them around 15 or 16 near the time of his peak

@Blue >first name

is that supposed to be good rap

@0ßelö7

Your "women" comment is starred

pretty inferior compared to ATL stuff

You're gonna get got by the meme police

fuck

Can we analytically continue the rational men, to the set of irrational women?

getgetgetgotgotgot

@Catija @Jefromi can you please remove this trash from the starboard

@0ßelö7 if you say the entire starboard will be wiped

specify what trash you want gone

@Catija @Jefromi my message and the one about masturbation

Whoa hold up

Hol up

sit down

@BalarkaSen this Shoen-Yau paper is scary

it's GMT ;_;

I can't hear that without remembering the Chocolate Raisins

I always hear Syrup Sammiches

This is the pinnacle of rap

@BalarkaSen I've got 3 months to understand this paper

Do you want to learn GMT in the meantime and help?

Typical american

doesn't understand GMT + 00

@BalarkaSen It has Federer in the references

good grief. I will do some cleanup, but seriously y'all, maybe learn not to star crap? and maybe sometimes avoid saying it in the first place?

honestly

@Jefromi There are elements among us that like to watch the world burn

just delete the quote of Hilbert

That's the offensive part here

@Phase NO

It offends me

I was born as a Hilbert space without an inner space norm

I can't stand seeing quotes from that monster

Honestly

Is reading Dirac's Principles as a first education in QM Just a meme or what

He goes into voodoo shit right near the start

and his notation is from the stone ages

@BalarkaSen I didn't think through using Hatcher and Bredon as furniture

I need to look up what the hell homology is again

legit it's an actual question

@0ßelö7 rekt

→ 14 messages moved to Trashcan

14?

@Phase well, I don't know who it was, but collectively the room demonstrated an inability to stop starring messages from 1-2 hours ago that look ugly out of context

so the other candidates for such treatment are gone as well.

Collectively?

and why was it moved to trashcan

Hey, I didn't star anything.

rather than trash

It doesn't come across particularly transparent

@0ßelö7 yes, as in "the set of users who are looking at this room among themselves managed to accomplish this"

@Jefromi I didn't do anything

@Phase because it's gone, it's a way to delete without leaving a ton of deletion stubs.

Why am I in the line of fire

You aren't. I never named you, and I merely replied to your message.

@BalarkaSen the de rham theorem is insane

@Phase There is no policy for providing access to deleted chat messages, any more than we do so for deleted comments on the site.

@lılostafa I don't want to just do Undergrad, I want an understanding, but while I've heard great things this book goes into voodoo shit imminently

I've learned the proof via hard work a la lee and the sheafy proof

I still don't understand how it works

It's an easy corollary of the Hodge theorem

no that one

the one that says smooth singular and singular and de rham are all the same

No, sorry, its not

@Jefromi But what about others who weren't in the room when all these happened and may want to follow it tomorrow?

I was thinking about Poincare duality

good afternoon everybody

@BalarkaSen Oh some people call $H^k\cong\mathcal H^k$ the de Rham theorem

@0ßelö7 The map is given by like $H^k(M) \times H_{n-k}(M) \to \Bbb R$ sending a $k$-form and a $(n-k)$-cycle to the integration of the form over the cycle isn't it?

Hello Christian

@BalarkaSen No, it's inclusion

And then you prove that's a nondegenerate billinear pairing

So $H^k(M) \cong \hom(H_{n-k}(M); \Bbb R)$

@Phase A good undergrad will give you a good understanding, as far as such a thing can be achieved in a few years - it just takes time for things to sink in - we had a saying that you only really understood something 2 or 3 years after doing the course, preferably having had a part in teaching [supervising] it to someone else

oh fuck, there's like 20 de Rham theorems

rhs is isom to singular $H^k(M)$

@lılostafa If you'd like to discuss this, I'd suggest a different room; people seem to be using this room for actual physics things.

@0ßelö7 huh?

@Mithrandir24601 did you read the linked answer?

@Phase Yeah and I'd say that the fundamentals are the most important thing

@Jefromi we're cool with discussions like that

@BalarkaSen I'm looking at $H_{k,\text{singular}}\cong H_{k,\text{smooth singular}}$

It's the night, mods are asleep post crank shit

$pi = 3$

well once you know for cohomology you know for homology

@Phase I've never read either of the books mentioned, but you need to learn the fundamentals

universal coefficient theorem

@BalarkaSen oh no, please

Yeah but it said "dont bother with linear algebra"

If I have to know that I will abandon whatever else I'm doing

@lılostafa @Phase chat.stackexchange.com/rooms/66741/…

Wait a minute. What does deRham homology even mean?

@Jefromi ...this is not physics

@BalarkaSen nothing

deRham's theorem is inherently a statement about cohomology

I said this was a different de Rham theorem

there's a lot

well boo

@0ßelö7 This should not be hard.

Whitney approximation theorem

I think the uber official de Rham theorems says de Rham and simplical cohomology are isomorphic

says you can perturb everything arbitrarily small to be smooth

what even is universal coefficient theorem

simplicial/singular/cellular are all isom

I have tom Dieck here

singular/simplician

I can't remember what these are

It says 0 --> Ext(H_(n-1)(X), G) --> H^n(X; G) --> Hom(H_n(X), G) --> 0 is exact

what does that have to do with cohomology

There, fixed

hmm

@0ßelö7 im removing my star from mr hilbert

have a good day

I t s

t o o

l a t e

:(

what are you on about

@BalarkaSen I will read the paper and see what's actually going on

hm

haha pee pee poo poo maths is great physics suks lol

I'll just wait until this starts approaching infinity

@Phase I disagree with that :P You're going to have to pick it up in some form or another at some point if you want to actually do physics. I mean, linear algebra is extremely close to QM

@Phase Although, if you're going to take advice from a physicist about how best to learn physics, it's generally a good idea to listen to the people who publish the best stuff. They so happen to be University lecturers and Profs, who, guess what, teach linear algebra to everyone doing QM. If they turn round and say that it's not necessary, then fair enough

@Blue beautiful

@Blue Nice

In any case, in literally everything I have ever done in my life, learning the fundamentals has been the most useful thing, even if it's not particularly interesting

You need to learn Bourbaki-style linear algebra to be a good physist

physist? Ok I'll roll with that

You need to learn it very rigorously

There are no matrices, only linear transformations

By which I mean morphism in the category of k-vector spaces

k is a field. In general non-Archimedean

@BalarkaSen can u teach me PDE like Bourbaki would?

Once you accept that, @Phase, only then you will be a good physist

Just two months ago, I was linearising matrices in order to derive a thing :P

@0ßelö7 "Teach me like one of those French girls"?

@BalarkaSen ugh no please don't get naked

@0ßelö7 I would ask something at this point because I'm not a PDE expert but maybe that'd be inappropriate

"the subset of 3-metrics on $(\Sigma,\hat e)$ such that $R(g)=0$, $g-\hat e\in H^2_\delta, -3/2<\delta<-1/2$ forms a $C^\infty$ submanifold $\mathscr C$ of $H^2_\delta$"

oh wonderful

infinite dimensional manifolds

seriously, who is starring that message from an hour before?

I don't know

which

the one by Jefromi

Probs the other mods

there are some white knights who not only flag stuff but also star retaliatory messages

Meanwhile Im just here trying to star my own messages

Shog I prayed to you

why betray me

@lılostafa I did, because it is a truth all of you should keep in mind more often.

@0ßelö7 retaliatory messages?

@ACuriousMind All of you? Why the hell am I being dragged into this

@ACuriousMind I knew

ACM did you draw that pfp?

It's actually really nicely made

But who is the other one?

its a game character as usual

i have a better avatar

@ACuriousMind I'm about to try to make Schnitzel without a >50 year old European lady helping

wish me luck

@BalarkaSen what is it

@Phase "pfp"?

grease fire incoming

profile pic

@0ßelö7 don't let your hair touch the stove

r o a s t

@Phase it's a lonely russian fox

NWN?

@Phase I have short hair

@Phase took me ~10 seconds to realize it

Me too Snap

Long hair on men just hinders combat ability

>named after Ocelot

>shittalks long hair

ok

his hair is shoulder length

you were implying waist length

those are good for headbanging tho

@0ßelö7 Are you trying to say women's combat ability is not as good as men's?

Does this look like short hair

LILO STOP

@BalarkaSen Headbanging does not help when the UN invades

@lılostafa Yes

must resist urge to star

i lold out loud

What is wrong with you people

everyone who didnt do that

raise your hand

don't type, just do it irl

Knitting Combat

@Blue Hand to hand

Only blunt weapons

What about something with six shots

but is enough to put down anything that moves

what about kung fu

:40405863 Why did yu delete that

@BalarkaSen What about it?

@lılostafa Because "destroy" is likely not family friendly.

everyone's talking about types of combat so why not kung fu

@BalarkaSen Wing Chun is invented by a girl

i believe you

I think that the statement: "The average man can soundly beat the average women in hand to hand combat." is ok

@Phase Neverwinter Nights.

@ACuriousMind if not, let me know

@BalarkaSen Only, that's not a type of combat - you've just said "what about Chinese martial arts" :P

@0ßelö7 "ok" in what sense? What purpose do you have in stating it?

@ACuriousMind Context doesn't matter to the flag, so I don't think that's a good question

...

Also, @BalarkaSen much of what most people think of as Kung Fu is form work, i.e. not combat :)

erase from existence is pretty hard

@Mithrandir24601 i dunno man im not into hand to hand combats

i didnt know that

@BalarkaSen you're not the average man LOL

@BalarkaSen I happen to do kung fu ;)

@0ßelö7 exactly, im not a normie

@0ßelö7 If your sole concern in posting something here is whether it might get flagged or not, I might suspect you are not partipating in good faith in the first place.