Ghazwa-e-hind (the Conquest of India)
Ghazwa-e-hind means military expedition (conquest, attack) lead by Muslims against India, which was predicted by Muhammad.
The term
In Arabic, it's ghazwa al-hind (غزوة الهند), but it's more known in it's Urdu/Persian version ghazwa-e-hind, which uses the Urdu/Persian ezafe ("-e-" meaning "of"). Ghazwa means military expedition, attack or conquest [1] and hind means India [2].
The hadiths
This one is graded hasan (good) by Islamic scholars. It promises Muslims being safe from fire, if they go and kill people in India:
It was narrated that Thawban, the freed slave of the Messenger of Allah (ﷺ), said: "The Messenger of Allah (ﷺ) said: 'There are two groups of my Ummah whom Allah will free from the Fire: The group that invades India (تَغْزُو الْهِنْدَ, taghzoo al-hind), and the group that will be with 'Isa bin Maryam, peace be upon him.'"
From the same source we have also two weak hadiths:
It was narrated that Abu Hurairah said: "The Messenger of Allah (ﷺ) promised that we would invade India (غَزْوَةَ الْهِنْدِ, ghazwa al-hind). If I live to see that I will sacrifice myself and my wealth. If I am killed, I will be one of the best of the martyrs, and if I come back, I will be Abu Hurairah Al-Muharrar."
It was narrated that Abu Hurairah said: "The Messenger of Allah (ﷺ) promised us that we would invade India (غَزْوَةَ الْهِنْدِ, ghazwa al-hind). If I live to see that, I will sacrifice myself and my wealth. If I am killed, I will be one of the best of the martyrs, and if I come back, I will be Abu Hurairah Al-Muharrar." [1] [1] Al-Muharrar: The one freed (from the Fire).
Conclusion
Islam wants Muslims to wage war against India.