Organizers: Sohan Ghosh, Đặng Tuấn Thương, Đặng Quốc Huy, Nguyễn Đăng Khải Hoàn, Nguyễn Quang Khải

Time:  Saturday at 13:00 (UTC)/ 14:00 (CET) / 17:30 (India)/ 19:00 (Vietnam) starting from 06 May 2023

Place: online 

Please contact us for the link.

A link for notes and references.

Goal: The topic of this seminar is elliptic curves over function fields over finite fields, with the aim being to study Tate’s conjecture and its connection to the Birch-Swinnerton-Dyer conjecture. We mainly follow the lecture notes by Ulmer.  

We will also survey several aspects of elliptic curves over the function field setting. Here is the detailed program.

If you have any questions or concerns, do not hesitate to reach out to us. 

Tentative Schedule

Talk 1: Introduction and Overview- Khai Hoan Nguyen Dang (06/05/2023)

Talk 2: Elliptic Curve and its Associated Surface- Sohan Ghosh (17/05/2023)

Talk 3: The Neron-Severi Group and Picard Scheme - Khai Hoan Nguyen Dang (27/05/2023)

Talk 4: Intersection Theory and Shioda-Tate’s Theorem- Arshay Sheth (03/06/2023)

Talk 5: Tate’s Conjectures - Quang Khai Nguyen  (10/06/2023)  

Talk 6: The Brauer Group and Tate-Shafarevich Group - Arshay Sheth (17/06/2023) 

Talk 7: Grothendieck’s Analysis of L-functions - Huy Dang  (24/06/2023)

Talk 8: Large Ranks in Towers- Huy Dang (01/07/2023) 

Talk 9: Iwasawa Theory - Sohan Gosh (08/07/2023)