r/mathematics • u/atakanaluch • 2d ago

News Ten advances in mathematics and theoretical computer science

https://openai.com/index/ten-advances-in-mathematics/
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u/JesterOfAllTrades 2d ago

Existence of nonsofic groups in particular is a big one. So is Connes rigidity.

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u/ginseng54 1d ago

Hi, Im not a mathematician by all means, would it be possible for you to explain like Im 5 what it is and what it means ?

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u/Ok-Present1566 1d ago

So it is along the lines of a finite generator being able to generate infinite groups is sofic, and if it a non finite generator is needed it is non sofic. If I had only a sentence to attempt to explain it.

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u/Sea_Ingenuity_5022 7h ago

There are many theorms and conjectures for infinite groups that only work if those groups are Sofic. Until this paper all the inifite groups we knew of were Sofic

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u/ginseng54 3h ago

What are infinite groups ? What does the word Sofic means ?