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ADVANCED MATHEMATICS IS INCREDIBLY COMPLEX--HOW DO PEOPLE EVEN FATHOM THIS STUFF
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Date: October 21st, 2015 10:55 AM Author: unholy umber gaping http://www.math.ias.edu/~rtaylor/longicm02.pdf (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012847) |
Date: October 21st, 2015 10:56 AM Author: marvelous party of the first part (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012853) |
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Date: October 21st, 2015 10:57 AM Author: unholy umber gaping then explain this, shitlib
https://en.wikipedia.org/wiki/Automorphic_form |
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Date: October 21st, 2015 10:58 AM Author: dashing azn stead That's like first year graduate stuff. (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012876) |
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Date: October 21st, 2015 10:59 AM Author: unholy umber gaping 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) |
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Date: October 21st, 2015 11:01 AM Author: dashing azn stead 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. |
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Date: October 21st, 2015 11:04 AM Author: unholy umber gaping interesting... Is Godel's Incompleteness theorem credited in your opinion? (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012918) |
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Date: October 21st, 2015 11:06 AM Author: dashing azn stead 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) |
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Date: October 21st, 2015 11:09 AM Author: unholy umber gaping 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) |
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Date: October 21st, 2015 11:14 AM Author: Maroon new version 180 never change (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012986) |
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Date: October 21st, 2015 11:17 AM Author: Exciting jade police squad his shtick literally sucks (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013001) |
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Date: November 26th, 2015 6:42 PM Author: shimmering vivacious roast beef faggot (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29258202) |
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Date: October 22nd, 2015 3:26 AM Author: Stirring Fear-inspiring Locale 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) |
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Date: October 21st, 2015 11:09 AM Author: marvelous party of the first part (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012951) |
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Date: October 21st, 2015 10:56 AM Author: dashing azn stead (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012855) |
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Date: October 21st, 2015 10:58 AM Author: unholy umber gaping 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. |
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Date: October 21st, 2015 10:59 AM Author: dashing azn stead That's just representation theory bro (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012882) |
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Date: October 21st, 2015 11:00 AM Author: unholy umber gaping What is the central purpose or aim of representation theory? (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012891) |
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Date: October 21st, 2015 11:04 AM Author: dashing azn stead Figure out how to embed abstract groups into matrix groups. (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012916) |
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Date: October 21st, 2015 11:15 AM Author: unholy umber gaping 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.
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Date: October 21st, 2015 7:41 PM Author: Multi-colored orange hunting ground set Explain it? I can barely pronounce it.
(When I was young, very young, they told me I was very smart. They lied.) |
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Date: November 11th, 2015 8:14 PM Author: cerebral brunch why do this? b/c matrices are more intuitive than groups? (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29162174) |
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Date: November 26th, 2015 6:36 PM Author: dashing azn stead 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). |
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Date: October 22nd, 2015 8:29 AM Author: unholy umber gaping (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29020376) |
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Date: November 3rd, 2015 8:49 AM Author: unholy umber gaping (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29100178) |
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Date: November 11th, 2015 5:25 PM Author: unholy umber gaping (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29160993) |
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Date: October 21st, 2015 11:00 AM Author: Geriatric principal's office turdskin 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) |
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Date: October 21st, 2015 11:03 AM Author: unholy umber gaping 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) |
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Date: October 21st, 2015 11:06 AM Author: Geriatric principal's office turdskin 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) |
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Date: October 21st, 2015 11:13 AM Author: unholy umber gaping 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) |
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Date: October 21st, 2015 11:21 AM Author: Geriatric principal's office turdskin No idea man (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013029) |
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Date: October 21st, 2015 11:23 AM Author: unholy umber gaping 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) |
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Date: October 21st, 2015 11:24 AM Author: Geriatric principal's office turdskin Linear algebra (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013044) |
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Date: October 21st, 2015 11:25 AM Author: unholy umber gaping nice. rate how prestigious this resume is.. http://www.cmi.ac.in/~asengupta/cv.pdf |
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Date: October 21st, 2015 11:26 AM Author: Geriatric principal's office turdskin I rate it virgin math nerd (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013061) |
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Date: October 21st, 2015 11:28 AM Author: unholy umber gaping 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) |
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Date: November 27th, 2015 3:44 PM Author: dashing azn stead Go mod 9 brother (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29262224) |
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Date: October 21st, 2015 3:46 PM Author: unholy umber gaping (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29015416) |
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Date: October 22nd, 2015 7:16 AM Author: Multi-colored orange hunting ground set Ewww, turdskin. (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29020235) |
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Date: October 22nd, 2015 8:38 AM Author: White disrespectful location It's real nice, man. (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29020409) |
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Date: October 21st, 2015 3:15 PM Author: unholy umber gaping (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29015146) |
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Date: October 21st, 2015 11:04 AM Author: talented double fault 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) |
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Date: October 21st, 2015 11:07 AM Author: unholy umber gaping AN times E equals ABN A=1 B=5 E=3 N=0 A. True B. False
try this question |
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Date: October 21st, 2015 11:09 AM Author: talented double fault False (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012950) |
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Date: October 21st, 2015 11:11 AM Author: unholy umber gaping 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
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Date: October 21st, 2015 11:11 AM Author: stimulating garrison true (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012969) |
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Date: October 21st, 2015 11:13 AM Author: unholy umber gaping justify your answer, shitlib (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012978) |
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Date: October 21st, 2015 11:16 AM Author: stimulating garrison they both seem to be multiplying by 0, which would result in 0 doesn't "AN" mean A times N? |
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Date: October 21st, 2015 11:21 AM Author: unholy umber gaping no man, (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013024) |
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Date: October 21st, 2015 11:23 AM Author: stimulating garrison explain (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013043) |
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Date: October 22nd, 2015 3:23 AM Author: Stirring Fear-inspiring Locale 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) |
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Date: October 21st, 2015 11:10 AM Author: stimulating garrison math is just like walking up steps (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012960) |
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Date: October 21st, 2015 11:30 AM Author: bisexual floppy juggernaut I stopped after the first word not flame (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013089) |
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Date: October 21st, 2015 11:31 AM Author: unholy umber gaping https://www.physics.harvard.edu/uploads/files/undergrad/probweek/prob57.pdf (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013097) |
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Date: October 21st, 2015 12:07 PM Author: unholy umber gaping (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013354) |
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Date: October 21st, 2015 12:14 PM Author: Startling stage Advanced Mathematics Ph.D here, taking ANY AND ALL QUESTIONS (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013437) |
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Date: October 21st, 2015 12:14 PM Author: unholy umber gaping answer this:
https://www.physics.harvard.edu/uploads/files/undergrad/probweek/prob57.pdf
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Date: October 21st, 2015 12:16 PM Author: Startling stage 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) |
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Date: October 21st, 2015 8:25 PM Author: splenetic judgmental point milk Here's the solution. Where's the joke?
https://www.physics.harvard.edu/uploads/files/undergrad/probweek/sol57.pdf |
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Date: November 26th, 2015 6:38 PM Author: shimmering vivacious roast beef thats like a first year physics problem lol (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29258193) |
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Date: October 21st, 2015 12:16 PM Author: stimulating garrison what type of jerb do you do (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013456) |
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Date: October 21st, 2015 12:17 PM Author: Startling stage Currently Seeking My Next Opportunity (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013464) |
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Date: October 22nd, 2015 3:24 AM Author: Pearly Electric Piazza sup Pensive. (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29019911) |
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Date: November 26th, 2015 6:36 PM Author: shimmering vivacious roast beef (exactly who you thought the op would be) (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29258186) |
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Date: November 27th, 2015 3:48 PM Author: thriller talking generalized bond shitlib (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29262240) |
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Date: November 27th, 2015 3:49 PM Author: Crystalline motley feces selfie 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) |
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Date: November 27th, 2015 4:11 PM Author: Frozen temple dingle berry 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) |
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Date: November 27th, 2015 4:27 PM Author: Sinister market 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: unholy umber gaping (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29263279) |