20200417 - 01:54 EVE Time
Anyone who lost ships due to disconnections resulting from the DDoS attacks should submit a ticket at http://support.eveonline.com under the Game Play Support -> Reimbursement -> Lost Ships category and they will be investigated by our hard working Customer Support team.
Please be patient with your requests during these times as a high volume of tickets are generated since a large number of players are usually affected.
20200417 - 01:28 EVE Time
Service should now be restored to the majority of our players. If you are still experiencing connection issues please describe the nature of the problem (including any dialog box messages you get) and what region you’re attempting to log in from - eg: NA, EU etc.
20200417 - 00:28 EVE Time
Tranquility is currently undergoing a DDoS attack which may result in disconnections or failures when attempting to log in. Our team is working on the issue now in conjunction with our partners.
We will continue to update you both in this thread and on the EVE Status Twitter account.
Please bear with us while we work on this matter.