Seminar on Diophantine Analysis and Related Fields
(DARF seminar)

Expectations for the zoom seminar

1. Please log in with your real name.
2. If you have any questions or comments, please clarify your name and affiliation.
3. When you have any questions or comments, you may also use the raise your hand feature or type your question in the chat.
4. Saving, recording, and redistributing received video and presentation materials (including screen capture) are prohibited.
5. The organizer may ask you to leave the venue in case of significant disturbance or harassment such as Zoom bombing.

Thank you for your understanding.

Next seminar (23rd time)

Speaker: Kaoru Sano (Doshisha University)

Date: 10th December 2022 (Sat) from 16:00 JST
The seminar will be held online via zoom.

Title: Northcott numbers for the weighted Weil heights

Abstract : In the field of Diophantine Geometry, the absolute Weil height function is an important tool to prove various finiteness property. For a given set of algebraic numbers, the infimum of upper bounds on heights for which the finiteness holds is called the Northcott number. Vidaux-Videla asked whether there exists an algebraic field such that the Northcott number is equal to the given constant. Pazuki-Technau-Widmer defined weighted Weil heights interpolating absolute and relative heights. In collaboration with Masao Okazaki, we completely answered to the Vidaux-Videla's question and obtained a further generalization for weighted heights. In this talk, I will present the results and background.

Registration for the Darf seminar

When you would like to attend the Darf seminar for the first time, please register on the Google form below and we will send you the Zoom address before the seminar. If you have registered for Google form in the past, you do not need to register on Google form again.

Link for the registration of the Darf seminar (Google form)

Organizers

Shigeki Akiyama (Tsukuba Univ.)
Masaaki Amou (Gunma Univ.)
Noriko Hirata-Kohno (Nihon Univ.)
Hajime Kaneko (Tsukuba Univ.)
Masanori Katsurada (Keio Univ.)
Taka-aki Takana (Keio Univ.)

Previous talks

Darf seminar (from 2020 April 1st to 2021 March 31st)
Darf seminar (from 2021 April 1st to 2022 March 31st)
Darf seminar (from 2022 April 1st to 2023 March 31st)