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Friday, September 23, 2016

**Abstract:** The Atiyah-Singer Index Theorem provides a link between algebraic topology, differential geometry, partial differential equations, operator algebras, and physics. In its simplest statement, it asserts that two numbers: an integer and a rational, which are computed in two remarkably different manners are in fact the same number. In this talk we’ll unpack a few of the many ideas that went into this theorem and its various proofs.