Corruption ones I have not gone for, but for glory, they have different titles such as "insight" and "strength" but they're all part of the glory points and there are at least 3 of them:
Strength:
Insight:
Courage:
Cupidity (this one I have not tested, but I believe it actually counts as a glory point like the above, for a total of at least 4 points, but I might be mistaken):
The Glory points are required for Kate's love route, which starts in season 2 when you find her sleeping, with the option to wake her up requiring 3 glory points. Note that she only has one short quest for that route at the time of me posting this, so it has really just begun and we don't get any romantic options with her quite yet. Hopefully she gets some content in the next updates.