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ADVANCED MATHEMATICS IS INCREDIBLY COMPLEX--HOW DO PEOPLE EVEN FATHOM THIS STUFF

http://www.math.ias.edu/~rtaylor/longicm02.pdf
Appetizing pervert half-breed
  10/21/15
...
Lascivious lettuce
  10/21/15
then explain this, shitlib https://en.wikipedia.org/wiki/...
Appetizing pervert half-breed
  10/21/15
That's like first year graduate stuff.
yapping generalized bond quadroon
  10/21/15
so pretty basic? What is like the most advanced theoretical ...
Appetizing pervert half-breed
  10/21/15
It's not hard to explain what an automorphic form is and why...
yapping generalized bond quadroon
  10/21/15
interesting... Is Godel's Incompleteness theorem credited in...
Appetizing pervert half-breed
  10/21/15
Yeah it's dope. Cohen's work on forcing and independence is ...
yapping generalized bond quadroon
  10/21/15
Nice need to look that up. What do you think of the fundamen...
Appetizing pervert half-breed
  10/21/15
180 never change
Vigorous henna double fault ladyboy
  10/21/15
his shtick literally sucks
Charismatic Gaped Piazza
  10/21/15
faggot
electric ceo
  11/26/15
cr. understanding this would take the average 135-iq bro abo...
stubborn sanctuary coldplay fan
  10/22/15
...
Lascivious lettuce
  10/21/15
...
yapping generalized bond quadroon
  10/21/15
The key point here is that there is no reference to a topol...
Appetizing pervert half-breed
  10/21/15
That's just representation theory bro
yapping generalized bond quadroon
  10/21/15
What is the central purpose or aim of representation theory?...
Appetizing pervert half-breed
  10/21/15
Figure out how to embed abstract groups into matrix groups.
yapping generalized bond quadroon
  10/21/15
can you explain this? In mathematics, parabolic inductio...
Appetizing pervert half-breed
  10/21/15
Explain it? I can barely pronounce it. (When I was young,...
razzle-dazzle home
  10/21/15
why do this? b/c matrices are more intuitive than groups?
Plum Razzle Pocket Flask Station
  11/11/15
Matrix groups were the original physics context where this s...
yapping generalized bond quadroon
  11/26/15
...
Appetizing pervert half-breed
  10/22/15
...
Appetizing pervert half-breed
  11/03/15
...
Appetizing pervert half-breed
  11/11/15
Don't underestimate being part of the community. Like legale...
Citrine Sandwich
  10/21/15
Good point. How does one acquire an appreciation for math th...
Appetizing pervert half-breed
  10/21/15
Interest in mathematics seems to become relevant early in co...
Citrine Sandwich
  10/21/15
good point...Do you think String Theory and the whole approp...
Appetizing pervert half-breed
  10/21/15
No idea man
Citrine Sandwich
  10/21/15
what's the most advanced/complicated math u took in college,...
Appetizing pervert half-breed
  10/21/15
Linear algebra
Citrine Sandwich
  10/21/15
nice. rate how prestigious this resume is.. http://www.cmi....
Appetizing pervert half-breed
  10/21/15
I rate it virgin math nerd
Citrine Sandwich
  10/21/15
Given any seventeen integers, show that there is at least on...
Appetizing pervert half-breed
  10/21/15
Go mod 9 brother
yapping generalized bond quadroon
  11/27/15
...
Appetizing pervert half-breed
  10/21/15
Ewww, turdskin.
razzle-dazzle home
  10/22/15
It's real nice, man.
Maize arousing partner casino
  10/22/15
...
Appetizing pervert half-breed
  10/21/15
I couldn't understand that material if my life depended on i...
Concupiscible Turquoise Giraffe
  10/21/15
AN times E equals ABN A=1 B=5 E=3 N=0 A. True B. Fal...
Appetizing pervert half-breed
  10/21/15
False
Concupiscible Turquoise Giraffe
  10/21/15
nice brother. try this one What is 5349 to the third p...
Appetizing pervert half-breed
  10/21/15
true
Blathering hell
  10/21/15
justify your answer, shitlib
Appetizing pervert half-breed
  10/21/15
they both seem to be multiplying by 0, which would result in...
Blathering hell
  10/21/15
no man,
Appetizing pervert half-breed
  10/21/15
explain
Blathering hell
  10/21/15
yes you can. this mentality re: stem will be the downfall of...
stubborn sanctuary coldplay fan
  10/22/15
math is just like walking up steps
Blathering hell
  10/21/15
I stopped after the first word not flame
Spectacular faggot firefighter
  10/21/15
https://www.physics.harvard.edu/uploads/files/undergrad/prob...
Appetizing pervert half-breed
  10/21/15
...
Appetizing pervert half-breed
  10/21/15
Advanced Mathematics Ph.D here, taking ANY AND ALL QUESTIONS
fishy son of senegal black woman
  10/21/15
answer this: https://www.physics.harvard.edu/uploads/file...
Appetizing pervert half-breed
  10/21/15
This circulated by e-mail throughout the department when I w...
fishy son of senegal black woman
  10/21/15
Here's the solution. Where's the joke? https://www.physic...
Beady-eyed filthpig main people
  10/21/15
thats like a first year physics problem lol
electric ceo
  11/26/15
what type of jerb do you do
Blathering hell
  10/21/15
Currently Seeking My Next Opportunity
fishy son of senegal black woman
  10/21/15
sup Pensive.
Dashing deer antler
  10/22/15
(exactly who you thought the op would be)
electric ceo
  11/26/15
...
cruel-hearted black newt potus
  11/27/15
a lot of it is knowledge based. it's amazing how little is p...
Exhilarant bronze bawdyhouse mediation
  11/27/15
just have a good working memory, solid deductive reasoning, ...
clear titillating hissy fit location
  11/27/15
not to sound prole but what is any of this shit useful for? ...
arrogant church pisswyrm
  11/27/15
...
Appetizing pervert half-breed
  11/27/15


Poast new message in this thread



Reply Favorite

Date: October 21st, 2015 10:55 AM
Author: Appetizing pervert half-breed

http://www.math.ias.edu/~rtaylor/longicm02.pdf

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012847)



Reply Favorite

Date: October 21st, 2015 10:56 AM
Author: Lascivious lettuce



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012853)



Reply Favorite

Date: October 21st, 2015 10:57 AM
Author: Appetizing pervert half-breed

then explain this, shitlib

https://en.wikipedia.org/wiki/Automorphic_form

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012873)



Reply Favorite

Date: October 21st, 2015 10:58 AM
Author: yapping generalized bond quadroon

That's like first year graduate stuff.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012876)



Reply Favorite

Date: October 21st, 2015 10:59 AM
Author: Appetizing pervert half-breed

so pretty basic? What is like the most advanced theoretical mathematical concepts studied or talked about in the field today?

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012884)



Reply Favorite

Date: October 21st, 2015 11:01 AM
Author: yapping generalized bond quadroon

It's not hard to explain what an automorphic form is and why we care about them. Proving stuff about them is the hard part.

Algebraic topology, algebraic geometry in general. mirror symmetry, geometric rep theory, langlands program, etc are all considered hard.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012898)



Reply Favorite

Date: October 21st, 2015 11:04 AM
Author: Appetizing pervert half-breed

interesting... Is Godel's Incompleteness theorem credited in your opinion?

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012918)



Reply Favorite

Date: October 21st, 2015 11:06 AM
Author: yapping generalized bond quadroon

Yeah it's dope. Cohen's work on forcing and independence is dope too.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012936)



Reply Favorite

Date: October 21st, 2015 11:09 AM
Author: Appetizing pervert half-breed

Nice need to look that up. What do you think of the fundamental theorem of calculus, that a limit and a derivative are essentially the flip side of each other? can u elaborate on it

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012952)



Reply Favorite

Date: October 21st, 2015 11:14 AM
Author: Vigorous henna double fault ladyboy

180 never change

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012986)



Reply Favorite

Date: October 21st, 2015 11:17 AM
Author: Charismatic Gaped Piazza

his shtick literally sucks

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013001)



Reply Favorite

Date: November 26th, 2015 6:42 PM
Author: electric ceo

faggot

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29258202)



Reply Favorite

Date: October 22nd, 2015 3:26 AM
Author: stubborn sanctuary coldplay fan

cr. understanding this would take the average 135-iq bro about two years of UG math. FATHOMING it and being able to prove it....that might take a bit more

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29019914)



Reply Favorite

Date: October 21st, 2015 11:09 AM
Author: Lascivious lettuce



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012951)



Reply Favorite

Date: October 21st, 2015 10:56 AM
Author: yapping generalized bond quadroon



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012855)



Reply Favorite

Date: October 21st, 2015 10:58 AM
Author: Appetizing pervert half-breed

The key point here is that there is no reference

to a topology on E, indeed no assumption that E is a topological field. Given r there are up to isomorphism only finitely many choices for the pair (r, N) and

these can be explicitly listed without difficulty. A WD-representation (r, N) is called unramified if N = 0 and r(IQp) = {1}. It is called Frobenius semi-simple if

r is semi-simple. Any WD-representation (r, N) has a canonical Frobenius semisimplification (r, N)

ss, which may be defined as follows. Pick a lift φ of Frobp to WQp and decompose r(φ) = ΦsΦu = ΦuΦs where Φs is semi-simple and Φu is unipotent.

The semi-simplification (r, N) ss is obtained by keeping N and r|Ip unchanged and replacing r(φ) by Φs. In the case that E = Ql we call (r, N) l-integral if all the

eigenvalues of r(φ) have absolute value 1. This is independent of the choice of Frobenius lift φ.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012878)



Reply Favorite

Date: October 21st, 2015 10:59 AM
Author: yapping generalized bond quadroon

That's just representation theory bro

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012882)



Reply Favorite

Date: October 21st, 2015 11:00 AM
Author: Appetizing pervert half-breed

What is the central purpose or aim of representation theory?

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012891)



Reply Favorite

Date: October 21st, 2015 11:04 AM
Author: yapping generalized bond quadroon

Figure out how to embed abstract groups into matrix groups.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012916)



Reply Favorite

Date: October 21st, 2015 11:15 AM
Author: Appetizing pervert half-breed

can you explain this?

In mathematics, parabolic induction is a method of constructing representations of a reductive group from representations of its parabolic subgroups.

If G is a reductive algebraic group and P=MAN is the Langlands decomposition of a parabolic subgroup P, then parabolic induction consists of taking a representation of MA, extending it to P by letting N act trivially, and inducing the result from P to G.



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012992)



Reply Favorite

Date: October 21st, 2015 7:41 PM
Author: razzle-dazzle home

Explain it? I can barely pronounce it.

(When I was young, very young, they told me I was very smart. They lied.)

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29017039)



Reply Favorite

Date: November 11th, 2015 8:14 PM
Author: Plum Razzle Pocket Flask Station

why do this? b/c matrices are more intuitive than groups?

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29162174)



Reply Favorite

Date: November 26th, 2015 6:36 PM
Author: yapping generalized bond quadroon

Matrix groups were the original physics context where this stuff first appeared iitc.

Group theory usually refers to the study of groups in the abstract, separate from their representations. The point is that the theory is cleaner if you separate the intrinsic properties of a group (the ones that do not depend on a specific representation has a matrix group) from the ones that aren't intrinsic.

Essentially a divide and conquer approach.

You see the same principle in geometry (manifolds are defined abstractly but then embedded into Euclidean space) and algebraic geometry (brill-noether theory).

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29258184)



Reply Favorite

Date: October 22nd, 2015 8:29 AM
Author: Appetizing pervert half-breed



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29020376)



Reply Favorite

Date: November 3rd, 2015 8:49 AM
Author: Appetizing pervert half-breed



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29100178)



Reply Favorite

Date: November 11th, 2015 5:25 PM
Author: Appetizing pervert half-breed



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29160993)



Reply Favorite

Date: October 21st, 2015 11:00 AM
Author: Citrine Sandwich

Don't underestimate being part of the community. Like legalese is incomprehensible to someone who hasn't become part of the system. A lot of it is definitions that are phrased with incredible specificity that are learnable with prolonged exposure. But intelligence is also important, as is interest

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012887)



Reply Favorite

Date: October 21st, 2015 11:03 AM
Author: Appetizing pervert half-breed

Good point. How does one acquire an appreciation for math though? for this advanced stuff.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012913)



Reply Favorite

Date: October 21st, 2015 11:06 AM
Author: Citrine Sandwich

Interest in mathematics seems to become relevant early in college when you find your niche. I don't think it's terribly easy to generate an appreciation without that kind of devotion.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012940)



Reply Favorite

Date: October 21st, 2015 11:13 AM
Author: Appetizing pervert half-breed

good point...Do you think String Theory and the whole appropriation of the Calabi-Yau manifold is flame or is it nice?

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012983)



Reply Favorite

Date: October 21st, 2015 11:21 AM
Author: Citrine Sandwich

No idea man

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013029)



Reply Favorite

Date: October 21st, 2015 11:23 AM
Author: Appetizing pervert half-breed

what's the most advanced/complicated math u took in college, shitlib?

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013041)



Reply Favorite

Date: October 21st, 2015 11:24 AM
Author: Citrine Sandwich

Linear algebra

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013044)



Reply Favorite

Date: October 21st, 2015 11:25 AM
Author: Appetizing pervert half-breed

nice. rate how prestigious this resume is..

http://www.cmi.ac.in/~asengupta/cv.pdf

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013050)



Reply Favorite

Date: October 21st, 2015 11:26 AM
Author: Citrine Sandwich

I rate it virgin math nerd

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013061)



Reply Favorite

Date: October 21st, 2015 11:28 AM
Author: Appetizing pervert half-breed

Given any seventeen integers, show that there is at least one subset of nine integers whose sum is divisible by 9.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013076)



Reply Favorite

Date: November 27th, 2015 3:44 PM
Author: yapping generalized bond quadroon

Go mod 9 brother

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29262224)



Reply Favorite

Date: October 21st, 2015 3:46 PM
Author: Appetizing pervert half-breed



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29015416)



Reply Favorite

Date: October 22nd, 2015 7:16 AM
Author: razzle-dazzle home

Ewww, turdskin.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29020235)



Reply Favorite

Date: October 22nd, 2015 8:38 AM
Author: Maize arousing partner casino

It's real nice, man.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29020409)



Reply Favorite

Date: October 21st, 2015 3:15 PM
Author: Appetizing pervert half-breed



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29015146)



Reply Favorite

Date: October 21st, 2015 11:04 AM
Author: Concupiscible Turquoise Giraffe

I couldn't understand that material if my life depended on it.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012920)



Reply Favorite

Date: October 21st, 2015 11:07 AM
Author: Appetizing pervert half-breed

AN times E equals ABN A=1 B=5 E=3 N=0

A.

True

B.

False

try this question

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012942)



Reply Favorite

Date: October 21st, 2015 11:09 AM
Author: Concupiscible Turquoise Giraffe

False

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012950)



Reply Favorite

Date: October 21st, 2015 11:11 AM
Author: Appetizing pervert half-breed

nice brother.

try this one

What is 5349 to the third power equals

A.

28,611,805

B.

28,610,803

C.

28,613,800

D.

28,611,801



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012970)



Reply Favorite

Date: October 21st, 2015 11:11 AM
Author: Blathering hell

true

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012969)



Reply Favorite

Date: October 21st, 2015 11:13 AM
Author: Appetizing pervert half-breed

justify your answer, shitlib

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012978)



Reply Favorite

Date: October 21st, 2015 11:16 AM
Author: Blathering hell

they both seem to be multiplying by 0, which would result in 0

doesn't "AN" mean A times N?

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012996)



Reply Favorite

Date: October 21st, 2015 11:21 AM
Author: Appetizing pervert half-breed

no man,

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013024)



Reply Favorite

Date: October 21st, 2015 11:23 AM
Author: Blathering hell

explain

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013043)



Reply Favorite

Date: October 22nd, 2015 3:23 AM
Author: stubborn sanctuary coldplay fan

yes you can. this mentality re: stem will be the downfall of the white race

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29019905)



Reply Favorite

Date: October 21st, 2015 11:10 AM
Author: Blathering hell

math is just like walking up steps

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012960)



Reply Favorite

Date: October 21st, 2015 11:30 AM
Author: Spectacular faggot firefighter

I stopped after the first word not flame

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013089)



Reply Favorite

Date: October 21st, 2015 11:31 AM
Author: Appetizing pervert half-breed

https://www.physics.harvard.edu/uploads/files/undergrad/probweek/prob57.pdf

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013097)



Reply Favorite

Date: October 21st, 2015 12:07 PM
Author: Appetizing pervert half-breed



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013354)



Reply Favorite

Date: October 21st, 2015 12:14 PM
Author: fishy son of senegal black woman

Advanced Mathematics Ph.D here, taking ANY AND ALL QUESTIONS

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013437)



Reply Favorite

Date: October 21st, 2015 12:14 PM
Author: Appetizing pervert half-breed

answer this:

https://www.physics.harvard.edu/uploads/files/undergrad/probweek/prob57.pdf



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013448)



Reply Favorite

Date: October 21st, 2015 12:16 PM
Author: fishy son of senegal black woman

This circulated by e-mail throughout the department when I was a visiting lecturer at Harvard. It was an April Fool's joke. LJL

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013454)



Reply Favorite

Date: October 21st, 2015 8:25 PM
Author: Beady-eyed filthpig main people

Here's the solution. Where's the joke?

https://www.physics.harvard.edu/uploads/files/undergrad/probweek/sol57.pdf

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29017289)



Reply Favorite

Date: November 26th, 2015 6:38 PM
Author: electric ceo

thats like a first year physics problem lol

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29258193)



Reply Favorite

Date: October 21st, 2015 12:16 PM
Author: Blathering hell

what type of jerb do you do

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013456)



Reply Favorite

Date: October 21st, 2015 12:17 PM
Author: fishy son of senegal black woman

Currently Seeking My Next Opportunity

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013464)



Reply Favorite

Date: October 22nd, 2015 3:24 AM
Author: Dashing deer antler

sup Pensive.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29019911)



Reply Favorite

Date: November 26th, 2015 6:36 PM
Author: electric ceo

(exactly who you thought the op would be)

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29258186)



Reply Favorite

Date: November 27th, 2015 3:48 PM
Author: cruel-hearted black newt potus



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29262240)



Reply Favorite

Date: November 27th, 2015 3:49 PM
Author: Exhilarant bronze bawdyhouse mediation

a lot of it is knowledge based. it's amazing how little is pure IQ in this shitworld

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29262243)



Reply Favorite

Date: November 27th, 2015 4:11 PM
Author: clear titillating hissy fit location

just have a good working memory, solid deductive reasoning, powerful pattern recognition and high spatial ability bro. then study for hours per day.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29262305)



Reply Favorite

Date: November 27th, 2015 4:27 PM
Author: arrogant church pisswyrm

not to sound prole but what is any of this shit useful for? a lot of high-level math frankly seems masturbatory. I guess group theory is useful for crypto and encodings.

(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29262366)



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Date: November 27th, 2015 7:44 PM
Author: Appetizing pervert half-breed



(http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29263279)