Loading Events

« All Events

  • This event has passed.

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

Wednesday, April 19, 2023 @ 4:30 PM - 5:30 PM KST

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 that arise in the case of general number fields and an application of our results to prime representations by binary quadratic forms. This is based on joint work with Wataru Kai, Masato Mimura, Akihiro Munemasa, and Kiyoto Yoshino.


Wednesday, April 19, 2023
4:30 PM - 5:30 PM KST
Event Category:
Event Tags:


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


Joonkyung Lee (이준경)
IBS 이산수학그룹 Discrete Mathematics Group
기초과학연구원 수리및계산과학연구단 이산수학그룹
대전 유성구 엑스포로 55 (우) 34126
IBS Discrete Mathematics Group (DIMAG)
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
E-mail: dimag@ibs.re.kr, Fax: +82-42-878-9209
Copyright © IBS 2018. All rights reserved.