2022's Biggest Breakthroughs in Math

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Жыл бұрын

Mathematicians made major progress in 2022, solving a centuries-old geometry question called the interpolation problem, proving the best way to minimize the surface area of clusters of three, four and five bubbles, and proving a sweeping statement about how structure emerges in random sets and graphs. Read more about these and other mathematical advances at Quanta Magazine: www.quantamagazine.org/the-ye...
You can read also about the biggest breakthroughs of 2022 in physics, biology, and computer science on our magazine website: www.quantamagazine.org/tag/20...
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Quanta Magazine is an editorially independent publication supported by the Simons Foundation www.simonsfoundation.org/
Correction: An earlier version of this video incorrectly suggested that Vogt and Larson solved the Brill-Noether theorem and has been deleted. Instead, the couple solved the interpolation problem. This video more accurately reflects what they proved. We regret the error.

Пікірлер: 489

@QuantaScienceChannel Жыл бұрын

A note to viewers: We're taking a break from producing our "Biggest Breakthroughs in Physics" and "Biggest Breakthroughs in Biology" videos this year, but you can read our curated lists for these topics, plus a summary of computer science breakthroughs, at our magazine website: www.quantamagazine.org/tag/2022-in-review/ We’ll be back with more videos in 2023, including a full set of "Biggest Breakthroughs" videos. Correction: An earlier version of this video incorrectly suggested that Vogt and Larson solved the Brill-Noether theorem and has been deleted. Instead, the couple solved the interpolation problem. This video more accurately reflects what they proved. We regret the error.

@primenumberbuster404 Жыл бұрын

Now it makes sense. It's awesome that you really deleted the earlier video. Some people don't do it. Massive respect for that.

@aramesh428 Жыл бұрын

That's ok, sometimes Christmas presents get delayed until after the holidays 🙂

@andreray6562 Жыл бұрын

Ahh I see. Fantastic math video here. I applied for your Video Producer position I'd love to help bring those other videos to life!

@sherlockmaverick Жыл бұрын

Amazing! BTW, this is a reupload, right? I remember watching this more than a day ago!

@jameschen2308 Жыл бұрын

I was about to say. I swear I saw this video uploaded yesterday

@accipitridae2128 Жыл бұрын

I appreciate the efforts in trying to make these heavily technical subjects reachable to the general public. Kudos to y'all :⁠-⁠)

@simonlinser8286 Жыл бұрын

i enjoy watching these subjects but if they didn't explain it this way i wouldn't know why it was important that these strides are being made.

@soheil5710 Жыл бұрын

@@simonlinser8286 I honestly still don't know

@jakublizon6375 Жыл бұрын

I'm happy for that math nerd couple. What a story it will be to their kids. "We met trying to solve the interpolation problem of advanced mathematics". Ahh, so sweet.

@stefevr Жыл бұрын

they actually named their kid Interpolation Problem

@Somebodyherefornow Жыл бұрын

@@stefevr " I hate you"

@stefevr Жыл бұрын

@@Somebodyherefornow "thanks"

@slashtab Жыл бұрын

The way she said "well! we got married.."

@flyingspinners1 Жыл бұрын

@@stefevr atleast the child will get the big brain math genes

@accipitridae2128 Жыл бұрын

I feel like a caveman compared to these smart guys. Keep up the good work!

@akshatgupta8898 Жыл бұрын

right me tooo

@resiliencewithin Жыл бұрын

Thanks for sharing your feelings on the comment section.

@CSTEnjoyer Жыл бұрын

That is because we are. Mathematicians are a species of their own

@fragileomniscience7647 Жыл бұрын

@@CSTEnjoyer Sure about that? The significant things that truly distinguish them are their imagination and building on abstraction moreso than mere language offers, via fully blown logic.

@CSTEnjoyer Жыл бұрын

@@fragileomniscience7647 there's a reason why almost all mathmaticians are kinda "weird" people. What they lack in social skills, they have in IQ.

@FirstnameLastname-fn6ik Жыл бұрын

Thank god somebody likes math so I don't have to think about it and we can still advance as a society.

@vaisakhkm783 Жыл бұрын

ikr

@HilbertXVI Жыл бұрын

If you don't like it you haven't been taught math right, unfortunately

@ethanzheng1368 Жыл бұрын

@@HilbertXVI 🤓

@hello-hb1ll Жыл бұрын

@@ethanzheng1368 he's right. "Nerd" is just a compliment

@Max-jm6md Жыл бұрын

@@HilbertXVI what evidence suggests everyone is keen on learning math if "taught properly?" we're all unique and complicated individuals with different interests.

@greenercreations9772 Жыл бұрын

Networks, bubbles, and curves.. never realized how technical and deep these can be.. kind of like chess, simple to grasp the basics but takes a lifetime to master

@perseusgeorgiadis7821 Жыл бұрын

The most complex problems, often have very simple rules. Try proving that each even number bigger than 2 can be written as the sum of two primes…

@neville132bbk 9 ай бұрын

I'm sure there are 13 *n possible opening plays in Bridge..... whenever I am on lead... the possibilities seem limitless :-) where n must be > 13.......

@randomknowledgeperson2872 Жыл бұрын

are you guys gonna do a “2022 a year in physics” and “a year in biology” like you did for 2021? i really liked both videos and would love to see how we’ve improved this past year

@artieschmidt3039 Жыл бұрын

They explained in the pinned comment that they will not do it

@160p2GHz Жыл бұрын

Was just telling my friend I don't even pay attention to who won the Nobel anymore, I just watch the Quanta biggest breakthroughs in X each year... feels more cutting edge, inclusive, and not just a friend of a friend... genuinely the new things that should excite me. And y'all do a great job making it understandable.

@MAFiA303 Жыл бұрын

wheh the guy spoke, i didnt expect this to be his voice. amazing accomplishment regardless

@zitagus9207 Жыл бұрын

It's realy amazing seeing young mathematicians doing big discoveries 👏👏👏

@DrRiq Жыл бұрын

as well as big mathematicians doing young discoveries! 👏👏👏

@Nat-oj2uc Жыл бұрын

Not really would be more surprising if they were old

@DrRiq Жыл бұрын

@@Nat-oj2uc i was being dumb for the sake of the funny

@Bhargav_Sarma Жыл бұрын

Quanta Magazine should start a special category for Chemistry too!!!

@EMC273 Жыл бұрын

I agree

@zinzhao8231 Жыл бұрын

Hell no

@0.5bh Жыл бұрын

Fuck chemistry

@astroid-ws4py Жыл бұрын

Only if it is Computational Chemistry !

@Fonsecaj89 Жыл бұрын

I’m ok thinking that chemistry is plain magic

@LolIGuess123 Жыл бұрын

The best part of these videos is hearing the struggles and challenges and how they were overcome. Please continue these types of inquiry!

@Patashu Жыл бұрын

I love hearing about the progress being made in math!

@freydawg56 Жыл бұрын

I love these videos at the end of the year. I always look forward to all the different topics of science.

@addisk22 Жыл бұрын

I love that these people have a chance to pursue their passions and solve these difficult problems.

@hitarthk Жыл бұрын

Thanks to the Simon Foundation for highlighting and maybe even fueling such fundamental discoveries!

@IanGrams Жыл бұрын

Dang, talk about relationship goals. It would be pretty cool to publish a paper with your partner, let alone one so substantial. Also cheers Quanta for reuploading to correct the error in the original. It was a small one but the commitment to accuracy is much appreciated.

@kebman Жыл бұрын

I probably got this video because I was interested in another video on splines by Freya Holmér. She has the most in-depth videos on the topic, and they are beautifully animated too!

@vascomarques637 Жыл бұрын

we stan freya holmér

@xylh5085 Жыл бұрын

Thanks for the recommendation. I've played with splines before and they are very strange and interesting at first blush

@jayd2279 Жыл бұрын

@@vascomarques637 All the way!

@themannyzaur Жыл бұрын

Ayyyyy Freya appreciator in the wild! Les goooooooooooooooo My foundation in math is very weak but I managed to catch a few things in her video

@chotai Жыл бұрын

I just jumped here from that video

@AlignedIT Жыл бұрын

Beautifully presented and made these complex topics interesting and accessible.

@elijahpharoah9807 Жыл бұрын

You have no idea how long I look forward to these videos

@Ubsje Жыл бұрын

3:21 at first it's just sus, but then it turns into something even more SUS

@yotams6168 Жыл бұрын

LOL STOOOOOOOOOOP

@swaree Жыл бұрын

came to the comments to say just that

@clawed_xo Жыл бұрын

"They were able to get something simple enough that they can attack with their bare hands." Surely🗿

@berliansuryani1401 Жыл бұрын

Certified sussy^2 baka moment

@MatBat__ Жыл бұрын

Incredible! Thank you for this great video and thanks to the researchers for pushing humanity foward. Cheers

@sinesierra Жыл бұрын

Amazed by the enthusiasm and determination of researchers. Great video, well presented

@yolanankaine6063 Жыл бұрын

Truly mind blown by the brilliance and determination of these people.

@likhithjsw Жыл бұрын

This is such detailed video making such complex topics understandable to the public! You guys are doing fantastic job! Thank you and kudos to all of you guys!

@ChrishBlake Жыл бұрын

Please keep this series, and the series on breakthroughs in physics and biology, going forever.

@Nat-oj2uc Жыл бұрын

Math is the most fundamental and important science. The advancements in other fields often depend on how advanced we are in math. Respect to those people. Hypothesis is easy. Actually shutting up and proving it that's what is hard

@joshua1188 Жыл бұрын

Thank you for bringing attention to the people who are the least appreciated but most impactful.

@Zeggskoll Жыл бұрын

I loved this video so much! Also, thank you Mr. And Mrs. Vogt! I absolutely want to learn more about their breakthrough! Heckin brilliant!

@Jenny-tu9fc Жыл бұрын

Fascinating stuff!!!! I admire and respect the individuals who tackle such beautiful problems. I wish I could be on that level.

@TymexComputing Жыл бұрын

Really, naturally interesting - thank you!

@bijanajamlou5152 Жыл бұрын

Amazing video! Please do more of these.

@thelocalsage Жыл бұрын

i am nowhere near proficient enough in mathematics to understand these problems in depth, but i remember watching a couple lectures by jinyoung park earlier this year and being mystified by the subject matter and enjoying her lecture style! would love to understand all these questions more intimately

@ydcjydcj1724 Жыл бұрын

I was waiting for this!!

@veks374 Жыл бұрын

I love the video but Eric's voice caught me fully off-guard lmao

@jaymayhoi Жыл бұрын

love these videos every year - people are so damn smart!

@MrNihalusa Жыл бұрын

thank for providing amazing knowledge and introducing the real heroes of human progress

@RaffyEdris Жыл бұрын

I have no idea on what I just watched, but it sounds like a really hard topic and to grasp. Kudos to all of the mathematician out there doing their best to solve a problem that could in turn help humanity. Your sacrifice will not be forgotten.

@mygirl737g2 Жыл бұрын

this is so neat! Love Math!

@hypatia6269 Жыл бұрын

These 2 young ppl are realy inspiring Love them

@firdavszamirov Жыл бұрын

It was very interesting. Thank you!

@ConnoisseurOfExistence Жыл бұрын

Nice! The graph solution of the last guys might combine nicely with the Wolfram physics model...

@studypurposeonly69 Жыл бұрын

This video has way less views for its quality of content even though it's just a day old. Keep up your amazing work!

@drewweber7874 Жыл бұрын

3:22 had me nervous for a second…

@JudeGussman Жыл бұрын

Thank you for making this!

@rikardhaugstad8575 Жыл бұрын

amazing work !!

@weakw1ll Жыл бұрын

These are the videos i really i appreciate come up in my algorithm

@kaibuchan Жыл бұрын

YES. SO AWESOME. Thank you mathematicians for everything. Humanity owes you everything.

@abhinavchauhan4621 Жыл бұрын

In the morning I love to watch these kind of videos to boost my sleepy head, though I am only able to comprehend half of the content

@williamchamberlain2263 10 ай бұрын

This is amazing, in the best ways possible

@badouceesay4468 Жыл бұрын

That first guy's voice caught me off guard 😭😭😭😭

@hrperformance Жыл бұрын

It was really hard to get through the bubble bit because the images were just so gorgeous!!

@VHenrik007 Жыл бұрын

Great video, and congratulations to these researchers!

@behrad9712 Жыл бұрын

Exceptional chanel, great insights with wonderful animation and music... Happy Christmas! 🙏👌❤️

@martinauld670 Жыл бұрын

I’m jealous of these people’s minds. So innovative

@jinpingxi6813 Жыл бұрын

The young couple Vogt and Larson : two nerds likely otakus who spent their leisure time studying together topology. Then they found more interesting curves and performed applied topology...

@siulapwa 11 ай бұрын

Fantastic work

@maxwellsequation4887 Жыл бұрын

These are some epic ones!

@jedn1660 Жыл бұрын

This is the sort of maths stuff that had we known it back then would have made it more appealing to learn about and get good at in school

@hello-lb3vf Жыл бұрын

this channel is so good

@ThumbsTup Жыл бұрын

I hate myself for never being able to advance the world of maths

@scozember Жыл бұрын

I have no clue what they' re talking about but I still watch to the end.

@takyc7883 Жыл бұрын

People don’t understand how huge a discovery this is

@michaelnajera7958 Жыл бұрын

Thank you

@gauravbharwan6377 Жыл бұрын

Big thanks for a math video

@benjiasner3919 7 ай бұрын

wait this is awesome. so at first i thought their theory was the same as knot theory but its actually got rules of knot theory but is more complex. so fascinating how structures build off of one another.

@ZedaZ80 Жыл бұрын

Woah, that last one is wild,

@the_eternal_student 7 ай бұрын

Sullivan's bubble conjecture reminds me of Ptolemy's theorem.

@johnvonachen1672 Жыл бұрын

I’m interested in how much these people depend on smaller simpler pieces of math/algorithms applied iteratively using computers. This is something hinted at in wolfram’s famous/infamous book.

@lycantropos Жыл бұрын

I see what you've done here at 3:23 😉

@rujotheone Жыл бұрын

Me: "They look like a couple, are we sure they are not dating? " 1:35 : "We got married" Me: "Oh😅"

@MShaurya17 Жыл бұрын

Brilliant ❤❤❤🎉

@pressfinchat 9 ай бұрын

3:22 Woah Woah… WHAT exactly are you drawing?? 🤨

@matthewp4046 Жыл бұрын

Cool stuff! Can we get youtube chapters on these videos?

@GCKteamKrispy Жыл бұрын

1:34 - They are real-life Sheldon and Amy "The big bang theory" 😂

@One007 Жыл бұрын

First is interesting How do find shortest route in more 2 dimensions with each point contenting each other. 👏👏👏

@ABHAY-hu9kw Жыл бұрын

All of the mathematicians may not know other ones in this video but, There is a person in this video who now knows solutions of all three problems , The narrator: Thomas Hagena

@kamimcv5686 Жыл бұрын

Is there also gonna be a physics and computer science video? :)

@krongmath Жыл бұрын

I always wonder how to figure out the complex pattern of real-world network. I hope mathematicians arrange "very practical" properties of the random graph to model efficient network.

@mikenator6682 Жыл бұрын

3:22 GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD GET OUT OF MY HEAD

@sle6423 Жыл бұрын

Wow so the 2nd and 3rd both have some connection to Talagrand's work, concentration of measure, and isoperimetic inequalities if I'm following correctly? (not sure I am) That's absolutely wild. Probability is some cool stuff

@HallStar15 Жыл бұрын

Took us a couple thousand years but we finally figured out how all curves work

@adhamcomstock4409 Жыл бұрын

Woah went that dude with the headphones smiles I had to stop the video and make sure they wasn't fake prank teeth. Ahhh dude got me 🤣

@MrBINGEBOY Жыл бұрын

these people are so freaking cool, i wish i was in that loop

@marcelcoetzee48 Жыл бұрын

Can anyone explain why solving the interpolation problem can improve data storage? Where can I read more on this?

@hedgechasing Жыл бұрын

I think the rough idea is that if you can capture all the points on a single curve, storing just the data you need to create the curve could allow you to recreate all the points. Like if I want to remember the numbers 5 6 7 8 9 I can just remember that there are 5 of them and they increase stepwise from 5 which is simpler than storing all five of them (especially as the number of points increases). I am not sure this is correct and I am not sure where you can find out more, but this seems like the intuitive reason it might be useful for that process.

@marcelcoetzee48 Жыл бұрын

@@hedgechasing incredible. Thank you

@leonmozambique533 Жыл бұрын

they can also be used for error correction. Look up “Reed Solomon codes”

@maxmuller445 Жыл бұрын

@@leonmozambique533 Yes, compression and correction always walk hand in hand.

@kindlin Жыл бұрын

@Black Screen That's an approximation tho, this is dealing with exacts. I think hedge has a good handle on what's happening here.

@Neva44433 Жыл бұрын

Amazing

@phenomenalone6904 Жыл бұрын

Even though I hate math but i love to see this video

@CensoredSheepChannel Жыл бұрын

Congrats 💚

@johnleecooper8520 Жыл бұрын

clusters of Sullivan's shadow bubbles is definitely a dnd spell

@thesnazzmaster Жыл бұрын

I can't wait until I get farther in college and can actually understand this

@yosdef Жыл бұрын

What is the functional purpose of the 2nd and 3rd breakthrough?

@calebheet3758 Жыл бұрын

1. Ability to predict holes, degrees, and dimensions. 2. Ability to get largest volume in bubbles with least surface area 3. Ability to find thresholds in networks. khan-kalai conjectures