I've lost my umbrella. I think I left it at the college.
I think 'left', not 'have left', should be used. However I have doubts. Sometimes we say: I've left my notebook at home (=have forgotten to take it).
On the other hand, by 'left at the college' we give additional characteristics to the event already mentioned. So it's not the action itself but circumstances attending the action, namely, the place of the action that is the focus of the sentence.
How do you feel about it?
I've lost my umbrella. I think I left it at the college.
I think this is right, if you imagine the situation of coming home and realising that you don't have your umbrella, you say; 'I've lost my umbrella.' you think for a moment, then you say; 'Ithink I left it at the college.'
Thanks, Bhaisahab.
I have another sentence where I'm not sure about the tense form:
Where did you get scratched so badly? - I fell from a tree.
Or is it possible to say: Where have you got scratched ...? - I have fallen from a tree.
I would say 'How did you...?'