#Dennis #Gaitsgory has dedicated the past 30 years to proving the #geometric #Langlands #conjecture.
Over the decades, he and his collaborators have built an extensive body of work, forming the foundation of the new proof.
Although the geometric Langlands program is highly abstract, it forges deep connections between different mathematical structures
and has the potential to drive breakthroughs in theoretical physics, number theory, and even quantum computing.
The #Breakthrough #Prize was established in 2012 by Sergey Brin (Google), Mark Zuckerberg (Facebook), and others to recognize outstanding researchers for their groundbreaking discoveries.
It is awarded in the fields of life sciences, physics, and mathematics.
In 2016, the Breakthrough Prize in Life Sciences was awarded to #Svante #Pääbo from the Max Planck Institute for Evolutionary Anthropology in Leipzig,
and in 2022, to #Anthony #Hyman from the Max Planck Institute for Molecular Cell Biology and Genetics in Dresden.
https://www.mpg.de/24476145/breakthrough-prize-mathematics-2025?c=2249
#conjecture
#conjecture : an opinion, or judgment, formed on defective or presumptive evidence
- French: conjecture
- German: die Vermutung
- Italian: congettura
- Portuguese: conjetura
- Spanish: conjetura
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Undergraduate Disproves 40-Year-Old Conjecture, Invents New Kind of Hash Table
https://www.wired.com/story/undergraduate-upends-a-40-year-old-data-science-conjecture/
#HackerNews #Undergraduate #Innovation #HashTable #DataScience #Conjecture #Breakthrough
33-year-old mathematician Wang Hong from the Courant Institute of Mathematical Sciences (CIMS-NYU) has proved the century-old Kakeya conjecture in three dimensions with collaborator Joshua Zahl!
The problem is rooted in the question: what's the smallest area that an infinitely thin needle can sweep out if it has to be turned to point in every possible direction?
News:
[1] https://www.scmp.com/news/china/science/article/3300958/chinese-maths-star-wang-hong-solves-infamous-geometry-problem
[2] https://english.jagran.com/world/chinese-student-wang-hong-cracked-an-impossible-geometry-puzzle-that-stumped-mathematicians-for-over-a-century-10221886
2023 piece from Quanta Magazine on their earlier progress on the problem:
https://www.quantamagazine.org/new-proof-threads-the-needle-on-a-sticky-geometry-problem-20230711/
@tao
#WangHong #CIMS #NYU #JoshuaZahl #Kakeya #KakeyaConjecture #ThreeDimensions #Needle #Geometry #QuantaMagazine #Conjecture #AdvancingMaths #Maths #Mathematics #CenturyOld #Tao #TerenceTao
✍️EVIDENCE FOR AND AGAINST #ZAUNER'S MUB #CONJECTURE IN C6 #by Gary McConnell, Harry Spencer, and Afaq Tahir
🔗10.26421/QIC21.9-10-1
For people who have never programmed before lisp-y programming languages are easier and more fun to learn than other non-lisp-y programming languages
I made a small page about my #conjecture on iteration count vs distance estimate bounds in the #MandelbrotSet
https://mathr.co.uk/web/m-iteration-count-vs-distance-estimate.html
#Poincare on #Intuition in #Mathematics
Very interesting paper by Henri Poincaré on 'Intuition and Logic in Mathematics' from 1905.
In this piece he presents intuition not just as a psychological trait, but as a critical component of mathematical creativity and innovation.
https://mathshistory.st-andrews.ac.uk/Extras/Poincare_Intuition/
#Math #Maths #Logic #Conjecture #Thinking #Psychology #Creativity #Innovation #HenriPoincaré #HenriPoincare
Are We Only 33 Years Away from the #Atlantic #Ocean’s #Tipping Point? : Medium
#Mathematicians Just Debunked the ‘#Bunkbed #Conjecture’ : WIRED
Seven quiet #Breakthroughs for #Climate and #Nature in #2024 you might have missed : BBC
Check our latest #KnowledgeLinks
Fermat conjectured that for \(n\) a non-negative integer, all numbers of the form \(2^{2^n}+1\) are prime.
Was there ever a worse conjecture in maths than that?
#Maths #Math
#MathsEd #MathEd
#MathsChat #MathChat
#Fermat #Conjecture
#Primes #FermatPrimes
#DidYouKnow: Catalan's #Conjecture (or Mihăilescu's theorem) is a theorem in #Number #Theory that was conjectured by the mathematician Eugène Charles Catalan in 1844.
It says that the difference between two perfect powers (where we ignore 0 and 1) is always more than 1, unless these powers are equal to 8 = 2^3 and 9 = 3^2.
✍️Progress on the #Kretschmann-Schlingemann-Werner #Conjecture #by Frederik vom Ende
🔗 https://doi.org/10.26421/QIC23.15-16-5 (#arXiv:2308.15389)
#DidYouKnow: The #Collatz #Conjecture, also known as the "hailstone conjecture" or the "3n + 1 problem," is one of the most famous unsolved problems in mathematics.
The conjecture asks whether repeating two simple arithmetic operations will eventually transform every positive integer into 1
#StephenHawking's #Chronology #Protection #Conjecture
In this 3-min clip, theoretical physicist Brian Greene explains how physics may prevent Time Travel to the past — known as #retrograde — and says that #Hawking's "protection" conjecture is supported by #mathematics.
🔗 https://www.youtube.com/watch?v=22H1LwQul_M 26 Nov 2022
🔗 https://en.wikipedia.org/wiki/Brian_Greene
#Time #Timelessness #TimeTravel #research #physics #BrianGreene #chronologyprotectionconjecture #theory
I gotta admit I've become a bit fixated on Jack Clayton's 'Something Wicked This Way Comes' (1983) because I'm getting the impression that the film he directed is VASTLY different than the movie that was released in theaters.
#genre #movies #jackclayton #somethingwickedthiswaycomes #georgesdelerue #music #soundtrack
#conjecture #speculation
#conjecture : an opinion, or judgment, formed on defective or presumptive evidence
- French: conjecture
- German: die Vermutung
- Italian: congettura
- Portuguese: conjetura
- Spanish: conjetura
------------
Report an incorrect translation @ https://wordofthehour.org/r/translations