Abstract: The Localization Theorem is a very convenient tool to compute the equivariant cohomology of $G$-spaces. It provides an isomorphism between the localized equivariant cohomology of a $G$-space (with respect to $S$) and the localized equivariant cohomology of its $G$-fixed points. We then have a complete description of the equivariant cohomology of $X$ up to $S$-torsion. In this talk, we review some properties regarding Localization (in algebra), then explain the statement of the Localization Theorem and finally give some examples of its applications.

Meeting ID: 997 4840 9440 Passcode: 911104

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