The next conference will be that for the EFI project, date TBA.
Harvard hosted the Mid Atlantic Mathematical Logic Seminar (MAMLS) on February 18-20 2011. The conference focused on the developments in Inner Model Theory and Large Cardinals over the last 50 years. The list of speakers and talk topics can be found on the original conference page (expands below).
Harvard also hosted the Mid Atlantic Mathematical Logic Seminar (MAMLS) on May 9-10, 2009. The theme of the meeting was logic and its intersections with other branches of mathematics. For details, see the original conference page (external link).