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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: Razzle olive nursing home 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: lascivious orchestra pit (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: Razzle olive nursing home then explain this, shitlib
https://en.wikipedia.org/wiki/Automorphic_form |
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Date: October 21st, 2015 10:58 AM Author: salmon painfully honest police squad 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: Razzle olive nursing home 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: salmon painfully honest police squad 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: Razzle olive nursing home 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: salmon painfully honest police squad 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: Razzle olive nursing home 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: Well-lubricated hyperactive area multi-billionaire 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: Big location double fault 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: Frisky Lettuce 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: passionate orange ladyboy 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: lascivious orchestra pit (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: salmon painfully honest police squad (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: Razzle olive nursing home 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: salmon painfully honest police squad 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: Razzle olive nursing home 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: salmon painfully honest police squad 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: Razzle olive nursing home 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: duck-like weed whacker cruise ship 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: Indecent tattoo useless brakes 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: salmon painfully honest police squad 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: Razzle olive nursing home (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: Razzle olive nursing home (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: Razzle olive nursing home (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: Soul-stirring Trust Fund 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: Razzle olive nursing home 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: Soul-stirring Trust Fund 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: Razzle olive nursing home 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: Soul-stirring Trust Fund 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: Razzle olive nursing home 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: Soul-stirring Trust Fund 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: Razzle olive nursing home 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: Soul-stirring Trust Fund 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: Razzle olive nursing home 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: salmon painfully honest police squad 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: Razzle olive nursing home (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: duck-like weed whacker cruise ship 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: Flesh Puppy Parlor 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: Razzle olive nursing home (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: Titillating blood rage 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: Razzle olive nursing home 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: Titillating blood rage 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: Razzle olive nursing home 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: Indigo provocative filthpig 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: Razzle olive nursing home 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: Indigo provocative filthpig 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: Razzle olive nursing home 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: Indigo provocative filthpig 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: passionate orange ladyboy 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: Indigo provocative filthpig 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: stirring reading party 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: Razzle olive nursing home 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: Razzle olive nursing home (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: Electric travel guidebook 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: Razzle olive nursing home 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: Electric travel guidebook 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: Startling green marketing idea rigor 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: Frisky Lettuce 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: Indigo provocative filthpig 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: Electric travel guidebook 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: kink-friendly beta corner 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: Frisky Lettuce (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: Mewling Ticket Booth (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: Navy Plaza 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) |
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Date: November 27th, 2015 4:11 PM Author: brass property bbw 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: Swashbuckling business firm 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: Razzle olive nursing home (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29263279) |