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ADVANCED MATHEMATICS IS INCREDIBLY COMPLEX--HOW DO PEOPLE EVEN FATHOM THIS STUFF
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Poast new message in this thread
Date: October 21st, 2015 10:55 AM Author: lascivious lilac kitchen half-breed 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: passionate fortuitous meteor indian lodge (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: lascivious lilac kitchen half-breed then explain this, shitlib
https://en.wikipedia.org/wiki/Automorphic_form |
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Date: October 21st, 2015 10:58 AM Author: domesticated pink gay wizard 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: lascivious lilac kitchen 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) |
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Date: October 21st, 2015 11:01 AM Author: domesticated pink gay wizard 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: lascivious lilac kitchen 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) |
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Date: October 21st, 2015 11:06 AM Author: domesticated pink gay wizard 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: lascivious lilac kitchen 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) |
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Date: November 26th, 2015 6:42 PM Author: Cowardly Azure House 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: Indigo talented hospital 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: passionate fortuitous meteor indian lodge (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: domesticated pink gay wizard (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: lascivious lilac kitchen 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. |
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Date: October 21st, 2015 10:59 AM Author: domesticated pink gay wizard 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: lascivious lilac kitchen 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) |
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Date: October 21st, 2015 11:04 AM Author: domesticated pink gay wizard 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: lascivious lilac kitchen 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.
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Date: October 21st, 2015 7:41 PM Author: Boyish Lemon Base 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: Pearly sanctuary 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: domesticated pink gay wizard 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: lascivious lilac kitchen half-breed (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: lascivious lilac kitchen half-breed (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: lascivious lilac kitchen half-breed (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29160993) |
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Date: October 21st, 2015 11:03 AM Author: lascivious lilac kitchen 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) |
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Date: October 21st, 2015 11:06 AM Author: Mewling adventurous hairy legs casino 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: lascivious lilac kitchen 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) |
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Date: October 21st, 2015 11:21 AM Author: Mewling adventurous hairy legs casino 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: lascivious lilac kitchen 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) |
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Date: October 21st, 2015 11:28 AM Author: lascivious lilac kitchen 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) |
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Date: November 27th, 2015 3:44 PM Author: domesticated pink gay wizard 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: lascivious lilac kitchen half-breed (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: Boyish Lemon Base Ewww, turdskin. (http://www.autoadmit.com/thread.php?thread_id=3022963&forum_id=2#29020235) |
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Date: October 21st, 2015 3:15 PM Author: lascivious lilac kitchen half-breed (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: Cerebral area 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: lascivious lilac kitchen half-breed 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: Cerebral area 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: lascivious lilac kitchen 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
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Date: October 21st, 2015 11:11 AM Author: Jet Dilemma 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: lascivious lilac kitchen half-breed 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: Jet Dilemma 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: lascivious lilac kitchen half-breed 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: Jet Dilemma 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: Indigo talented hospital 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: Jet Dilemma 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 11:31 AM Author: lascivious lilac kitchen 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) |
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Date: October 21st, 2015 12:07 PM Author: lascivious lilac kitchen half-breed (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: Tantric double fault 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: lascivious lilac kitchen half-breed 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: Tantric double fault 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: Thriller Impressive Parlour Candlestick Maker 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: Cowardly Azure House 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: Jet Dilemma 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 22nd, 2015 3:24 AM Author: laughsome queen of the night stag film 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: Cowardly Azure House (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 3:49 PM Author: alcoholic locus 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: Lime stirring meetinghouse headpube 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: mint talking roommate dingle berry 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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