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Friday, October 31, 2014

**Abstract:** In this talk I will briefly discuss a basic definition of Morita equivalence for unital associative algebras over a commutative ring. With that discussion as motivation, I will develop a notion of Morita equivalence for Lie Groupoids. Some work will be done to develop intuition for the geometric meaning behind two Lie groupoids being Morita equivalent. I will try to prove at least one thing.