We give an effective bound to the number of torsion points of  these families of certain groups. Key ingredient in our construction is 

a suitable  Eisenstein series (analytic object). The constant terms of these Eisenstein series encode information about the special values of LL-functions.  The torsion points of these groups are studied by using an explicit description of the special fibers of the the certain curves  due to Edixhoven and Manin-Drinfeld theorem.


The above mentioned  bound is an  effective version of Bogomolov's conjecture. This is a joint work with Chitrabhanu Chowdhuri and Diganta Borah.


Debargha Banerjee

Research Area

Indian Institute of Science Education and Research, Pune


Fri, 19/05/2017 - 2:00pm to 3:00pm


RC-M032, Red Centre, UNSW