In this lecture series, I will describe a simplified version of the pseudo-differential calculus which is sufficient in many cases to deal with the index theory problems. This simplified version is compatible with the Hörmander’s PDO calculus.
After that, I will give a brief introduction to K-theory and K-homology for C*-algebras and a sketch of proof of the Atiyah-Singer index theorem. Depending on the time remaining, I plan also to discuss the index theory for hypoelliptic operators on contact manifolds.

Requirements : Some knowledge of the theory of C*-algebras.

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URL：https://forms.gle/X8pvfnX18yonNAv9A
締切日：6月27日(火)16時厳守

会場は後日個別にお知らせいたします。
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