| Description: | [DMS Seminar] Dr Debargha Banerjee (IISER Pune) -- Effective Version of Bogomolov's Conjecture for Certain Modular Curves |
| Date: | Friday, Aug 19, 2016 |
| Time: | 2:30 p.m. - 3:30 p.m. |
| Venue: | 108, Lecture Hall Complex |
| Details: | In this talk, we will give a complete proof of Manin-Drinfeld theorem. After giving a short introduction to Arakelov geometry and Neron-Tate height pairing, we will show how to use Manin-Drinfeld theorem to give an effective version of Bogomolov's conjecture (https://en.wikipedia.org/wiki/Bogomolov_conjecture) for certain modular curves. Note that, Bogomolov's conjecture has been proved in full generality by E. Ulmo but the proof is not effective for modular curves. This is a joint work with Chitrabhanu Chowdhuri and Diganta Borah. |
| Calendar: | Seminar Calendar (entered by saugata.bandyopadhyay) |