Mar-Vell's Laboratory is a Kree Imperial Cruiser where Mar-Vell conducted her experiments on the Tesseract. Realizing that she was fighting on the wrong side of the Kree-Skrull War, she decided to use her scientific knowledge to build the Light-Speed Engine and help the Skrull refugees find a new home.
Persecution of the Skrulls
Mar-Vell used her own space cruiser as a laboratory to perform experiments involving the Tesseract energy, and was notably able to harness its power to create a Light-Speed Engine. Having grown disgusted by the considerable harm caused by the war waged by the Kree on the Skrulls, Mar-Vell decided to side with the Skrulls so they could find a new planet far from the Kree Empire.
Forced to scatter across the galaxy, a group of Skrull refugees, among them Soren, sought refuge in Mar-Vell's laboratory. Out of fear that the Kree would find them, the Skrull refugees refused to make any form of contact outside the ship per Mar-Vell's instruction. Thus, Soren's husband Talos, who desperately looked for his family, was not able to find them, as he believed that the laboratory was a facility located on Earth.
It was not until Talos was able to get help from Carol Danvers, Nick Fury and Maria Rambeau that he was able to find the laboratory orbiting around Earth. Using a Quadjet, the four of them, plus Goose, went to the coordinates left into the black box retrieved from the crash which had cost Mar-Vell's life, and deactivated the laboratory's cloak, enabling Talos to be reunited with his family.
Immediately after the reunion, Mar-Vell's laboratory was invaded by the Starforce led by Yon-Rogg, who captured all the Skrulls and their allies. They intended to kill them all by ejecting them into space, except for Carol Danvers, who was forced to commune with the Supreme Intelligence. However, Danvers was able to break free and to gain full control on her powers, which triggered several pulses enabling Nick Fury and Maria Rambeau to break free of their restraints, as well as allowing the Skrulls led by Talos to be released.
A furious battle then erupted in the laboratory for the control of the Tesseract. While Fury and Rambeau made their way to the Quadjet with Goose, who had swallowed the Tesseract, Danvers remained behind to fight the Starforce who still believed her to be in possession of the Tesseract, taking down her former teammates one by one despite the various weapons they used on her. Although it seemed that Fury, Rambeau and the Skrulls were recaptured by the Kree, Talos was actually impersonating a Kree soldier and shot the other guards.
Danvers eventually revealed that she was not in possession of the Tesseract, so Yon-Rogg fled the battle and went in pursuit of the Skrulls, managing to wound Talos before the Skrulls escaped from the laboratory with the Quadjet. On its way out, the Quadjet destroyed the Helion, causing damage to the lab's hangar and releasing a number of Kree soldiers into space. Yon-Rogg ordered Minn-Erva to follow them in a dropship and used one of the laboratory's other dropships to leave the imperial cruiser. Danvers eventually damaged his pod, causing him to crash-land on Earth, and later strapped him inside the pod and forcibly sent him to Hala.