Prof Lutzah ah, I didn't even understand what RH meant.... https://www.youtube.com/watch?v=YTCE2SXguwU so many things to learn... (this is episode #1, the Langlands program is mentionned in E2)
YouTube
Teacher JasonThis is a beautiful narration of mathematical discovery.
https://www.quantamagazine.org/monumental-proof-settles-geometric-langlands-conjecture-20240719/
detektor.fm 
Das Langlands-Programm will die Mathematik revolutionieren. 2024 gelang Forschenden ein wichtiger Durchbruch. Was hinter dem Projekt steckt — und was ein mathematischer Erotikfilm damit zu tun hat.
#Beweis #Frenkel #Langlands #Mathematik #SpektrumDerWissenschaft #SpektrumPodcast #SpektrumDerWissenschaftDerPodcast
Das Langlands-Programm: Eine Vision der Mathematik
Das Langlands-Programm will die Mathematik revolutionieren. Vor Kurzem ist Forschern ein wichtiger Beweis gelungen. Doch es gibt auch Kritik.
Max-Planck-GesellschaftAbsolutely thrilled that Dennis Gaitsgory from the Max Planck Institute for Mathematics has won the 2025 Breakthrough Prize in #Mathematics for his central role in the proof of the geometric #Langlands conjecture - often referred to as the Rosetta Stone of math! 🥳 Congratulations - this is such a well-deserved recognition for decades of deep work!🎉
Chuck Darwin#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
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
Dennis Gaitsgory wins 2025 Breakthrough Prize in mathematics
Dennis Gaitsgory receives the 2025 Breakthrough Prize in Mathematics, endowed with 3 million US dollars “for foundational works and numerous breakthrough contributions to the geometric Langlands program and its quantum version; in particular, the development of the derived algebraic geometry approach and the proof of the geometric Langlands conjecture in characteristic 0”.
The Krononaut Moon Project 🌑A #geometry masterpiece: #Yale prof solves part of math’s #RosettaStone.
Yale’s #SamRaskin has solved a major portion of a math question that could lead to a translation #theory for some areas of #math.
❛❛ The [Robert] #Langlands Conjectures … suggested in the 1960s that deep, unproven connections exist between #numbertheory, harmonic analysis & #geometry — 3 areas of math long considered distinctly separate. ❜❜
🔗 https://news.yale.edu/2024/11/01/geometry-masterpiece-yale-prof-solves-part-maths-rosetta-stone 01 Nov 2024
🔗 https://Wikipedia.org/wiki/Langlands_program
kamstrupCannot contain my excitement over the possibility of a breakthrough on the Geometric Langland's https://www.quantamagazine.org/monumental-proof-settles-geometric-langlands-conjecture-20240719
ƧƿѦςɛ♏ѦਹѤʞhttps://www.youtube.com/watch?v=_bJeKUosqoY
Geometric Langlands Conjecture Proven:
https://www.quantamagazine.org/monumental-proof-settles-geometric-langlands-conjecture-20240719/
#maths #mathematics #Langlands
Geometric Langlands Conjecture Proven:
https://www.quantamagazine.org/monumental-proof-settles-geometric-langlands-conjecture-20240719/
#maths #mathematics #Langlands
The Biggest Project in Modern Mathematics
Marcel FröhlichCC @m_artigiani this helped me to skim some context. Nothing compared to an expert’s thread, still exciting.
#langlands #rag #llm
#langlands #rag #llm
Did some stress testing of Gemini 1.5 Pro (using the Gemini Advanced subscription) this evening.
Google’s latest LLM version with a context window that can handle the equivalent of about 1500 pages of text. So RAG is no longer about picking some chunks from documents but digesting large amounts of content entirely.
I uploaded the five papers that together prove the geometric Langlands conjecture (about 1000 pages in total) and asked very general questions about the proof structure and more detailed questions and some background stuff.
Processing is slow (no surprise) but the output is quite convincing. It is a reasonable way to get very complex facts and connections explained.