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Explore equivariant local index theory for Lie groupoids in this 56-minute seminar talk from the Global Noncommutative Geometry Seminar. Delve into topics such as motivation, local index theory, equivariant index theory, Euler Duram operator, complexified Clifford bundle, Dirac operators, and Gamma operators. Examine heat flow, Clifford algebra, and the process of computing traces. Investigate symbol calculus, simple calculus, and the algebraic approach, including Guesser calculus. Learn about the heat kernel, super trace, and the main theorem. Discuss analogs, rescaled modules, and code dimension formula. Engage with questions and gain insights into this advanced mathematical topic.
