Questions & Answers about Yarınki toplantı bana umut veriyor.
Why do we use -ki in yarınki instead of a possessive suffix for "tomorrow's"?
The suffix -ki attaches directly to time words like yarın (tomorrow) to turn them into adjectives. So yarınki toplantı means the meeting that is tomorrow. Unlike English, Turkish doesn't use the possessive for this; time words just take -ki to describe a noun.
Why is it bana instead of bene for "to me"?
This is a rare irregular word in Turkish! Normally, adding the dative case suffix (meaning to or towards) follows vowel harmony. But the pronouns ben (I) and sen (you) change their root vowels when this suffix is added, becoming bana (to me) and sana (to you).
Since the meeting is tomorrow, why isn't the verb in the future tense?
The meeting is tomorrow, but the feeling of hope is happening right now. The fact that the meeting is on the schedule is currently giving you hope, which is why veriyor uses the present continuous tense.
Is umut veriyor the normal way to say something makes you hopeful?
Yes, Turkish uses the exact same idiom as English here. Umut means hope, and vermek is to give. So bana umut veriyor literally translates to it gives me hope.