With Expedition 35 on the International Space Station coming to an end here are the latest official launch times for Luca and Expedition 36. As always in spaceflight, these can change at any time:

PRIME Launch to Docking Timeline (assumes a single-day, 4-orbit, 6-hour rendezvous):

Expedition 36/37 Launch (Soyuz TMA-09M, 35 Soyuz; Yurchikhin, Nyberg, Parmitano):
3:31:24pm CT on May 28, 20:31:24 GMT on May 28, 00:31:24am Moscow time on May 29, 2:31:24am Baikonur time on May 29 (3 hours, 35 minutes before sunrise at the launch site)

Expedition 36/37 Docking to Rassvet Module (Soyuz TMA-09M, 35 Soyuz; Yurchikhin, Nyberg, Parmitano)
9:17:10pm CT on May 28, 2:17:10 GMT on May 29, 6:17:10am Moscow time on May 29, 8:17:10am Baikonur time on May 29.

Expedition 36/37 Hatch Opening (Soyuz TMA-09M, 35 Soyuz; Yurchikhin, Nyberg, Parmitano):
~10:55pm CT on May 28, ~3:55 GMT on May 29, ~7:55am Moscow time on May 29, ~9:55am Baikonur time on May 29.

BACKUP Launch to Docking Timeline (for a two-day, 34-orbit rendezvous; decision either made pre-launch or up to about 4 hours after launch, if required):

Expedition 36/37 Launch (Soyuz TMA-09M, 35 Soyuz; Yurchikhin, Nyberg, Parmitano):
3:34pm CT on May 28, 20:34 GMT on May 28, 00:34am Moscow time on May 29, 2:34am Baikonur time on May 29 (3 hours, 32 minutes before sunrise at the launch site)

Expedition 36/37 Docking to Rassvet Module (Soyuz TMA-09M, 35 Soyuz; Yurchikhin, Nyberg, Parmitano)
6:09pm CT on May 30, 23:09 GMT on May 30, 3:09am Moscow time on May 31.

Expedition 36/37 Hatch Opening (Soyuz TMA-09M, 35 Soyuz; Yurchikhin, Nyberg, Parmitano):
~9:00pm CT on May 30, ~2:00 GMT on May 31, ~6:00am Moscow time on May 31.