Shin-ichiro Seki, On the extension of the Green-Tao theorem to number fields

Zoom ID: 897 6822 0619 (ibsecopro) [04/19 only]

In 2006, Tao established the Gaussian counterpart of the celebrated Green-Tao theorem on arithmetic progressions of primes. In this talk, I will explain the extension of Tao's theorem and the Green-Tao theorem to the case of general number fields. Our combinatorial tool is the relative hypergraph removal lemma by Conlon-Fox-Zhao. I will discuss the difficulties

IBS 이산수학그룹 Discrete Mathematics Group
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IBS Discrete Mathematics Group (DIMAG)
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