These were written out in chat by Redtext minutes before Update 13.8 (2014-06-19) was released.
Tenno, our operatives have discovered an unusual cluster of Corpus vessels operating in the vicinity of Eris. We suspect these ships may be harboring Alad V's genetic experiments. Stand by for further instruction.
Confirmed. An abnormal Infestation presence has been observed on board these ships. Reports are indicating immense amounts of biological activity, suggesting the existence of numerous Infested HIVES.
Tenno, we must act quickly to stop this new threat at all costs. If left unchecked, these HIVES may produce enough Infestation to overrun the System. Prepare yourselves – Operation: Breeding Grounds is imminent!
Introduction[]
Alad V is Back
Tenno, we have a problem.
Alad V has developed a way to direct the spread of the Infestation. Using these newly engineered "hive" organisms, the Infestation is able to corrupt a new ship or colony almost instantly. There are also disturbing reports coming in that the virus has evolved. It is now capable of absorbing and corrupting non-organic beings. Not even the robotic soldiers of the Corpus are safe now. The only way to stop the spread is to destroy these hives.
We have just received word of a massive outbreak near Eris. An entire fleet of Corpus ships has been exposed to this new bioplague. Alad V is almost certainly responsible. If Alad V's hives are allowed to gain a strategic foothold here, the Infested will become unstoppable. They will overrun the system in a matter of days. If we don’t put an end to this now, the Corpus, the Grineer, the Tenno... we could all fall in the wake of this horrible scourge.
—The Lotus
During Breeding Grounds Mission[]
Introduction, first mission
Lotus: "There is no telling what effect destroying these hives will have. Stay alert."
Introduction, subsequent missions
Lotus: "I am detecting fewer and fewer infected ships. Your tireless onslaught is working. Keep fighting."
Alad V's taunt, first mission
Alad V: "Tenno, there you are. I thought you'd never show up. Come, test out my new fighters and let me know what you think."
Alad V's taunt, subsequent missions
Alad V: "Do you think you're winning? You can't cut my hives down faster than they grow. That's not possible!"
Approaching a hive
Lotus: "You are approaching a hive. Every hive is protected by a series of tumor nodes. Destroy those, and you can destroy the hive."
Lotus: "There is a hive in the area. You must destroy all the tumor nodes before you can damage the hive."
Lotus: "You are near a hive. Destroy the tumor nodes to make the hive vulnerable."
Lotus: "A hive is nearby. Be on alert; there's no way to know how the Infestation will react to this hive's destruction."
Destroying all tumors
Lotus: "All nodes destroyed. The hive is vulnerable."
Lotus: "That's it, now take out the hive."
Lotus: "Now quick, destroy the hive!"
Destroying a Gas Hive
Lotus: "Watch out! Destroying that hive released clouds of toxins."
Destroying a Frozen Hive
Lotus: "Taking out that hive has disrupted the environmental system. Expect sub-zero temperatures and weakened shields."
Destroying a Lancing Hive
Lotus: "Killing that hive seems to have triggered nearby laser traps. Proceed with caution."
Destroying a Pulsing Hive
Lotus: "Hive destroyed, but be careful. I am now detecting fields of intense magnetic disturbance."
Destroying a Security Hive
Lotus: "That last hive was interfering with the defense systems. Beware – turrets are now online."
Destroying a Stabilization Hive
Lotus: "Destroying that hive damaged the stabilization module. Expect reduced gravity."
Destroying all hives, first mission
Alad V: "Impressive, isn't it? I just can't wait to see the looks on the faces of the Corpus Board when I give them a demonstration."
Lotus: "All hives destroyed. Head to extraction."
Destroying all hives, subsequent missions
Alad V: "You haven't turned the tide! I— I can grow more! I— you... you haven't stopped me. Not this time."
Lotus: "All hives destroyed. Head to extraction."
Progressing Through The Event[]
A Good Start
You have made solid progress against Alad V's hives. The threat is still very real and you have much work to do. Take this emblem and wear it with pride while you fight.
—Lotus
(Attachment: Breeding Grounds Emblem)
The End is in Sight
The end is in sight, we nearly have Alad V's hives under control. Take these mods, use them to finish the job.
I know, you must think I'm crazy. After all, you've wiped out my first assault and destroyed the vast majority of my hives. My venture should be in shambles but there's always a silver lining, look what you've left me with! I now command the most fierce and evolved Infested in the system. They are quite something and you should be proud because in a way, you were their coach.
Our numbers are small but we're growing, changing. The next time you see us you are in for quite a surprise.
Until we meet again,
Alad V.
Victory is Secured
<PLAYERNAME>, you have gone the distance. While there are still pockets of strong resistance, the Infestation is no longer a serious threat and Alad V is retreating... for now.
Please take this Prova Vandal, you've earned it.
You have done your part but I wonder how much further can you take this fight? Your fellow Tenno will be watching.
Volcanic Edge, 
Prova Vandal)