random cohomology for quantum nerds

covariance is unacceptable
887d ago – Martin Sleziak
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Jun 3, 2018 08:50
Hello Hatcher my old friend. I've come to read your font again
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Oct 15, 2020 18:48
Hahaha what a child
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May 23, 2019 13:28
[eyes burn out of skull as if you opened the ark of the covenant]
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Nov 29, 2021 19:04
Some waffle about Legendre transforms that only physicists understand
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Jun 3, 2018 00:32
instantly stars the declaration of instantaneous starring, while also instantaneously starring the declaration of instantaneous starring of the declaration of instantaneous starring so nobody else can instantaneously star this message
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Jul 2, 2018 10:27
You guys know that one part of Thomas's song where it kinda picks up, right? buildup and pause BA DUM PA PAA, PA PA PAAAAAA
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Jul 2, 2018 09:32
“$H^2(\text{Electric Boogaloo})$”
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Jun 27, 2018 12:56
This room is great
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Apr 21, 2020 19:42
Poincate
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Sep 19, 2022 10:18
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Mar 11, 2021 20:16
@BalarkaSen This is geometry loser
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Aug 24, 2022 05:39
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Jul 16, 2022 08:23
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Jul 1, 2018 14:45
Enumerate the positive zeroes to $\tan x = x$ as $\lambda_n$. Prove that $$\sum_{n=1}^\infty \frac{1}{\lambda_n^2} = \frac{1}{10}$$
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Jul 3, 2022 04:53
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Jun 14, 2018 11:17
thank you based maps
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Jun 7, 2018 07:27
spectral sequences 4 life
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Jun 13, 2022 06:25
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May 31, 2022 06:18
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May 18, 2022 10:40
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Feb 14, 2022 19:11
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Jan 23, 2022 09:20
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Aug 29, 2018 09:34
The lad!
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Aug 25, 2018 23:44
Press F to pay respects
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Aug 5, 2018 06:24
Things can get subtle though - for example there are moduli functors that we care about which are not representable. One classical example is the moduli space of curves of genus $g$.

There are two solutions - 1) Weaken the definition of moduli space - this leads us to the definition of coarse moduli space $X$, which essentially means that whenever you have some family over $S$ you have a map $S\rightarrow X$, but there is no universal family over $X$ so given a map $S\rightarrow X$ you cannot pull this back to a family over $S$
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Dec 27, 2021 09:12
This room has been relatively silent recently. Just in case it gets frozen, I will remind that moderators can unfreeze chatrooms - so you can ask some moderator (from any site) whether they would be willing to do so. See also: meta.stackexchange.com/tags/frozen-rooms/info and How do I unfreeze a frozen chat room?
Jul 4, 2018 15:13
jk welcome @Luke
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Jun 27, 2018 08:26
Math chat has been a good place to grow up. It's pretty much been a warm community.
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Jun 3, 2018 00:32
instantly stars the room
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Nov 28, 2021 09:56
@MartinSleziak Does the Feeds prevent the chatroom from being frozen?
Oct 23, 2019 19:10
user image
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Oct 23, 2019 18:19
user image
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Sep 18, 2021 08:31
.
Jan 14, 2019 22:46
he's using big tools because he was never taught to just draw the deformation retraction :)
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Mar 11, 2021 18:33
$\require{AMScd}$
Mar 11, 2021 18:32
@BalarkaSen the trick is to use big letters, ord((X+Y)/Z)=2 while X+Y=0 intersects C three times because Z vanishes as well
Aug 29, 2018 09:41
always nuke the question
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Dec 18, 2020 17:13
ethylene glycol
Jul 1, 2018 22:43
"every time someone mentions Nash blowup my mind wanders to an extremely terrible joke about how Kaczynski blowup is totally different" - Fargle
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Jun 27, 2018 11:15
The long guy gives us this part of the bruhat decomposition: $Bw_0B=B'$ is called the opposite Borel subgroup, and here is the lower triangular matrices
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Jun 21, 2018 20:43
My current knowledge of algebraic topology basically stops at Seifert-van Kampen
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Jun 12, 2018 05:36
maybe then I'll finally be able to do sphere eversion
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Jun 6, 2018 18:20
hopf.math.purdue.edu/Boardman/ccspseq.pdf is the Boardman paper, it's beautiful. If someone feels like it I suggest sections 1-5
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Jun 6, 2018 05:38
I am become hypocrite
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Oct 28, 2020 21:47
TOPOS
Oct 28, 2020 21:03
adjunction space? it's called "cograph"
Oct 5, 2020 14:29
The "trick" is "limiting" the information by taking only adapted processes (at first) and then using quadratic variation to prove that our sums converge in L^2 rather than L^1
Oct 5, 2020 14:18
room topic changed to random cohomology for quantum nerds: covariance is unacceptable (no tags)
May 29, 2020 19:47
(also all of those things are due to Gromov, he basically invented geometric group theory on its own, all hail the prophet)
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