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Monday, November 4, 2019

**Abstract:** In this talk I will walk through Atiyah and Segal's "Equivariant K theory and completion". The main result is a nice proof of the so-called Atiyah-Segal completion theorem, which relates the equivariant K theory of a G-space with the K theory of its homotopy orbit. Towards the end, I will also discuss the algebraic analogue of this result.