Mentioning summer program of one university in essay of another

I was wondering, does it look bad if I mention summer program I attended at Yale in an essay to UMich? I wanted to write something like “When I saw my friend doing __, I became interested in _, soon absorbing 's book on and attending many ___-related seminars at my summer program at Yale University.” Does this sound okay or is it frowned upon mentioning anything other than university I am writing the essay for?

It’s totally fine

My student did! It’s no problem.

Thanks everyone!