Speaker: Masato Mimura (Tohoku Univ.)
Title: The Green-Tao theorem for number fields
Time/Date: 4:45-6:15pm, January 14 (Thu.), 2021
Room: This will be an online seminar on Zoom. Please ask Kawahigashi for the Zoom link.
Abstract: Based on the joint work arXiv:2012.15669 with Wataru Kai, Akihiro Munemasa, Shin-ichiro Seki and Kiyoto Yoshino. The celebrated theorem of Green and Tao asserts that the set of rational primes contains arbitrarily long arithmetic progressions. We establish extensions of the Green-Tao theorem to the case of general number fields. The talk will be conducted in Japanese; slides are written in English.