The most prestigious law school admissions discussion board in the world.
|
 |
 
|
ADVANCED MATHEMATICS IS INCREDIBLY COMPLEX--HOW DO PEOPLE EVEN FATHOM THIS STUFF
Poast new message in this thread
Date: October 21st, 2015 10:55 AM Author: Bespoke party of the first part 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: Cerebral saffron hominid stain (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012853) |
 |
Date: October 21st, 2015 10:57 AM Author: Bespoke party of the first part then explain this, shitlib
https://en.wikipedia.org/wiki/Automorphic_form |
|
Date: October 21st, 2015 10:58 AM Author: Plum crotch That's like first year graduate stuff. (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012876) |
|
Date: October 21st, 2015 10:59 AM Author: Bespoke party of the first part 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) |
|
Date: October 21st, 2015 11:01 AM Author: Plum crotch 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. |
|
Date: October 21st, 2015 11:04 AM Author: Bespoke party of the first part interesting... Is Godel's Incompleteness theorem credited in your opinion? (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012918) |
|
Date: October 21st, 2015 11:06 AM Author: Plum crotch 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) |
|
Date: October 21st, 2015 11:09 AM Author: Bespoke party of the first part 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) |
|
Date: October 21st, 2015 11:14 AM Author: Mind-boggling Temple 180 never change (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012986) |
|
Date: October 21st, 2015 11:17 AM Author: Learning disabled magical dingle berry his shtick literally sucks (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013001) |
|
Date: November 26th, 2015 6:42 PM Author: citrine black woman sound barrier faggot (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29258202) |
|
Date: October 22nd, 2015 3:26 AM Author: Lascivious chapel place of business 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) |
|
Date: October 21st, 2015 11:09 AM Author: Cerebral saffron hominid stain (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012951) |
|
Date: October 21st, 2015 10:56 AM Author: Plum crotch (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012855) |
|
Date: October 21st, 2015 10:58 AM Author: Bespoke party of the first part 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. |
|
Date: October 21st, 2015 10:59 AM Author: Plum crotch That's just representation theory bro (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012882) |
|
Date: October 21st, 2015 11:00 AM Author: Bespoke party of the first part What is the central purpose or aim of representation theory? (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012891) |
|
Date: October 21st, 2015 11:04 AM Author: Plum crotch Figure out how to embed abstract groups into matrix groups. (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012916) |
|
Date: October 21st, 2015 11:15 AM Author: Bespoke party of the first part 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.
|
|
Date: October 21st, 2015 7:41 PM Author: Elite becky Explain it? I can barely pronounce it.
(When I was young, very young, they told me I was very smart. They lied.) |
|
Date: November 11th, 2015 8:14 PM Author: nubile provocative crackhouse why do this? b/c matrices are more intuitive than groups? (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29162174) |
|
Date: November 26th, 2015 6:36 PM Author: Plum crotch 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). |
|
Date: October 22nd, 2015 8:29 AM Author: Bespoke party of the first part (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29020376) |
|
Date: November 3rd, 2015 8:49 AM Author: Bespoke party of the first part (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29100178) |
|
Date: November 11th, 2015 5:25 PM Author: Bespoke party of the first part (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29160993) |
|
Date: October 21st, 2015 11:00 AM Author: Godawful address legal warrant 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) |
|
Date: October 21st, 2015 11:03 AM Author: Bespoke party of the first part 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) |
|
Date: October 21st, 2015 11:06 AM Author: Godawful address legal warrant 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) |
|
Date: October 21st, 2015 11:13 AM Author: Bespoke party of the first part 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) |
|
Date: October 21st, 2015 11:21 AM Author: Godawful address legal warrant No idea man (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013029) |
|
Date: October 21st, 2015 11:23 AM Author: Bespoke party of the first part 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) |
|
Date: October 21st, 2015 11:24 AM Author: Godawful address legal warrant Linear algebra (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013044) |
|
Date: October 21st, 2015 11:25 AM Author: Bespoke party of the first part nice. rate how prestigious this resume is.. http://www.cmi.ac.in/~asengupta/cv.pdf |
|
Date: October 21st, 2015 11:26 AM Author: Godawful address legal warrant I rate it virgin math nerd (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013061) |
|
Date: October 21st, 2015 11:28 AM Author: Bespoke party of the first part 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) |
|
Date: November 27th, 2015 3:44 PM Author: Plum crotch Go mod 9 brother (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29262224) |
|
Date: October 21st, 2015 3:46 PM Author: Bespoke party of the first part (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29015416) |
|
Date: October 22nd, 2015 7:16 AM Author: Elite becky Ewww, turdskin. (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29020235) |
|
Date: October 22nd, 2015 8:38 AM Author: racy chad It's real nice, man. (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29020409) |
|
Date: October 21st, 2015 3:15 PM Author: Bespoke party of the first part (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29015146) |
|
Date: October 21st, 2015 11:04 AM Author: kink-friendly jet menage 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) |
|
Date: October 21st, 2015 11:07 AM Author: Bespoke party of the first part AN times E equals ABN A=1 B=5 E=3 N=0 A. True B. False
try this question |
|
Date: October 21st, 2015 11:09 AM Author: kink-friendly jet menage False (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012950) |
|
Date: October 21st, 2015 11:11 AM Author: Bespoke party of the first part 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
|
|
Date: October 21st, 2015 11:11 AM Author: concupiscible property sandwich true (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012969) |
|
Date: October 21st, 2015 11:13 AM Author: Bespoke party of the first part justify your answer, shitlib (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012978) |
|
Date: October 21st, 2015 11:16 AM Author: concupiscible property sandwich they both seem to be multiplying by 0, which would result in 0 doesn't "AN" mean A times N? |
|
Date: October 21st, 2015 11:21 AM Author: Bespoke party of the first part no man, (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013024) |
|
Date: October 21st, 2015 11:23 AM Author: concupiscible property sandwich explain (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013043) |
|
Date: October 22nd, 2015 3:23 AM Author: Lascivious chapel place of business 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) |
|
Date: October 21st, 2015 11:10 AM Author: concupiscible property sandwich math is just like walking up steps (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29012960) |
|
Date: October 21st, 2015 11:30 AM Author: Charcoal awkward macaca school cafeteria I stopped after the first word not flame (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013089) |
|
Date: October 21st, 2015 11:31 AM Author: Bespoke party of the first part https://www.physics.harvard.edu/uploads/files/undergrad/probweek/prob57.pdf (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013097) |
|
Date: October 21st, 2015 12:07 PM Author: Bespoke party of the first part (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013354) |
|
Date: October 21st, 2015 12:14 PM Author: excitant alcoholic lay 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) |
|
Date: October 21st, 2015 12:14 PM Author: Bespoke party of the first part answer this:
https://www.physics.harvard.edu/uploads/files/undergrad/probweek/prob57.pdf
|
|
Date: October 21st, 2015 12:16 PM Author: excitant alcoholic lay 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) |
|
Date: October 21st, 2015 8:25 PM Author: cowardly heaven persian Here's the solution. Where's the joke?
https://www.physics.harvard.edu/uploads/files/undergrad/probweek/sol57.pdf |
|
Date: November 26th, 2015 6:38 PM Author: citrine black woman sound barrier thats like a first year physics problem lol (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29258193) |
|
Date: October 21st, 2015 12:16 PM Author: concupiscible property sandwich what type of jerb do you do (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013456) |
|
Date: October 21st, 2015 12:17 PM Author: excitant alcoholic lay travel guidebook Currently Seeking My Next Opportunity (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29013464) |
|
Date: October 22nd, 2015 3:24 AM Author: Insecure gay wizard whorehouse sup Pensive. (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29019911) |
|
Date: November 26th, 2015 6:36 PM Author: citrine black woman sound barrier (exactly who you thought the op would be) (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29258186) |
|
Date: November 27th, 2015 3:48 PM Author: high-end locus (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29262240) |
|
Date: November 27th, 2015 3:49 PM Author: well-lubricated frisky institution philosopher-king 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) |
|
Date: November 27th, 2015 4:11 PM Author: peach marvelous national security agency 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) |
|
Date: November 27th, 2015 4:27 PM Author: cream sex offender stage 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) |
|
Date: November 27th, 2015 7:44 PM Author: Bespoke party of the first part (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29263279) |