2016-01-10T00:00:00.000Z

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Japan

Kyoto University is one of Japan and Asia's premier research institutions, founded in 1897 and responsible for producing numerous Nobel laureates and winners of other prestigious international prizes. A broad curriculum across the arts and sciences at bot... more

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mathematics

Caption: Go Yamashita lecturing on the ...

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Caption: Go Yamashita lecturing on the work of Shinichi Mochizuki. Philipp Ammon for Quanta Magazine

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Mochizuki had developed IUT theory over a period of nearly 20 years, working in isolation.
As a mathematician with a track record of solving hard problems and a reputation for careful attention to detail, ...

"People are getting impatient, including me, including [Mochizuki], and it feels like certain people in the mathematical community have a responsibility to do something about this," Kim said.
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"We do owe it to ourselves and, personally as a friend, I feel like I owe it to Mochizuki as well."
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Until Mochizuki released ...

Mochizuki employed a similar strategy in ...

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Mochizuki expressed much of the data from Szpiro's conjecture-which concerns elliptic curves-in terms of Frobenioids.
Just as Wiles moved from Fermat's Last Theorem to elliptic curves to Galois representations, Mochizuki worked ...

In presentations at the end of the third day and first thing on the fourth day, Kiran Kedlaya, a number theorist at the University of California, San Diego, explained how Mochizuki intended to use Frobenioids in a proof of abc.
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The understanding that Mochizuki had recast abc in terms of Frobenioids was a surprising and intriguing development.
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These techniques appear in Mochizuki's four IUT theory papers, which were the subject of the last two days of the conference.
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"The reason it fell apart is not meant as a reflection of anything with Mochizuki," ...

Emily, Author at DBRL Next - Page 2 of 2

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But this time, no one except Mochizuki seems to have any glimmering of how ...

In August, when Mochizuki released the four papers explaining ...

Mathematicians began clamoring for Mochizuki to explain the kernel of ...

I suspect that this is the psychology of the situation for Mochizuki.
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"What we need is for this stuff to exist in someone else's brain besides [Mochizuki's].
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