The Boston Public Library trustees will meet this coming Tuesday afternoon at 3 PM at the newly opened and renovated Brighton Branch as part of their regularly scheduled program to which the public is invited. Among other things, the BPL agenda includes a vote to keep four to-be-closed branches open, thanks to $350,000 allocated in supplemental funding by the state legislature recently. The fate of the four branches, Washington Village, Orient Heights, Faneuil and Lower Mills, was the subject of an intense fight in 2010. The state legislature forced the hand of the BPL by threatening to cut off an additional $2.4 million from the library's budget if the BPL proceeded with the closures. Additional items on the agenda focus on the so-called Compass process, a strategic plan for library improvement, and the FY12 budget.