Math News and Discussions

Xyls
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Math News and Discussions

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DeepMind cracks 'knot' conjecture that bedeviled mathematicians for decades

https://www.livescience.com/deepmind-ar ... -pure-math
Xyls
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Wireless breakthrough? Duke researchers say mathematical proof creates opportunities

https://www.wraltechwire.com/2021/11/23 ... rtunities/
Xyls
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Xyls
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An interesting video explaining the MIP*=RE proof from last year:



This also proved the Connes embedding problem wrong.

https://en.wikipedia.org/wiki/Connes_embedding_problem
Xyls
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Some advancements on the Riemann Hypothesis:

https://www.quantamagazine.org/mathemat ... -20220113/
Xyls
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Quite a bit of news on the Riemann Hypothesis lately...

Apparently there may be some links between Riemann Hypothesis and Quantum Mechanics related to scattering amplitudes and it could potentially be used as a way to imply or solve Riemann...

Quantum zeta epiphany: Physicist finds a new approach to a $1 million mathematical enigma

https://phys.org/news/2022-01-quantum-z ... roach.html
Xyls
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Fields medal 2022: Work on prime numbers and spheres wins maths prize

https://www.newscientist.com/article/23 ... ths-prize/
Mathematicians who have studied the most efficient way to pack spheres in eight-dimensional space and the spacing of prime numbers are among this year’s recipients of the highest award in mathematics, the Fields medal.

The winners for 2022 are James Maynard at the University of Oxford; Maryna Viazovska at the Swiss Federal Institute of Technology in Lausanne (EPFL); Hugo Duminil-Copin at the University of Geneva, Switzerland; and June Huh at Princeton University in New Jersey.

Kyiv-born Viazovska is only the second female recipient among the 64 mathematicians to have received the award.
0% surprised by Maynard he has been quite known since his independent work on the Twin Prime Conjecture back in 2013. Hadn't heard of the others until now. Congratulations to them.
Xyls
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Math error: A new study overturns 100-year-old understanding of color perception

https://discover.lanl.gov/news/0810-color-perception
A new study corrects an important error in the 3D mathematical space developed by the Nobel Prize–winning physicist Erwin Schrödinger and others and used by scientists and industry for more than 100 years to describe how your eye distinguishes one color from another. The research has the potential to boost scientific data visualizations, improve TVs and recalibrate the textile and paint industries.
Xyls
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Mathematicians Crack a Simple but Stubborn Class of Equations

Ever since Archimedes, mathematicians have been fascinated by equations that involve a difference between squares. Now two mathematicians have proven how often these equations have solutions, concluding a decades-old quest.

https://www.quantamagazine.org/ancient- ... -20220810/
Xyls
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DeepMind AI invents faster algorithms to solve tough maths puzzles

Machine-learning technique improves computing efficiency and could have far-reaching applications.

https://www.nature.com/articles/d41586-022-03166-w
Researchers at DeepMind in London have shown that artificial intelligence (AI) can find shortcuts in a fundamental type of mathematical calculation, by turning the problem into a game and then leveraging the machine-learning techniques that another of the company’s AIs used to beat human players in games such as Go and chess.

The AI discovered algorithms that break decades-old records for computational efficiency, and the team’s findings, published on 5 October in Nature1, could open up new paths to faster computing in some fields.

“It is very impressive,” says Martina Seidl, a computer scientist at Johannes Kepler University in Linz, Austria. “This work demonstrates the potential of using machine learning for solving hard mathematical problems.”
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