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Friday, September 24, 2021

**Abstract:** In his debut Graduate Analysis Seminar talk, UIUC's very own Connor Grady will be speaking very analytically about one of the COOLEST theorems: The Atiyah-Singer Index Theorem. The Atiyah-Singer Index Theorem is a central theorem in differential geometry, connecting the topology of manifolds to the analysis of differential operators. In this talk, we will be looking at this theorem mostly from the point of view of geometry and topology, while trying to do our best to see why analysts should care about it. (There will be cookies even if you don't care about it.)