A recent Press Release by the ITLOS announces:
The public hearing in the Dispute concerning delimitation of the maritime boundary between Bangladesh and Myanmar in the Bay of Bengal will open on 8 September 2011 at 10 a.m. Judge Jesus, President of the Tribunal, will preside. The public hearing will be broadcast live on the Tribunal’s website.
A public sitting of the Tribunal will be held at 10.30 a.m. on Monday, 5 September 2011, at which Mr Thomas Mensah, Judge ad hoc chosen by Bangladesh, and Professor Bernard H. Oxman, Judge ad hoc chosen by Myanmar, will make the solemn declaration required under article 9 of the Rules of the Tribunal.
Written records of the oral hearings will be available on the ITLOS website here. The hearing will also be webcast live here, and, in case you miss it, a recording of the webcast will be available in the archives.
On the background of the dispute see this insightful note (The Maritime Boundary Dispute Between Bangladesh and Myanmar: Motivations, Potential Solutions, Implications, Asia Policy, No. 10, 103 (July 2010)) by Jared Bissinger.