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Claire Debord - Microlocal and Global Analysis,...

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Claire Debord - Microlocal and Global Analysis, Interactions with Geometry

Index theory through Lie groupoids.

The aim of this lecture is to explain why Lie groupoids are very naturally linked to Atiyah-Singer index
theory. After introducing Lie groupoids, and giving various examples, I will explain how these geometrical objects
can be used:
- to construct the pseudodifferential calculus,
- to construct the index of pseudodifferential operators without using the pseudodifferential calculus,
- to prove and generalize index theorems.
This talk, inspired by ideas of A. Connes, will be based on joint works with JM. Lescure and with G. Skandalis.

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Hochgeladen von: ZIM Multimediaproduktion
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Hinzugefügt am: 10 Sep 2019
Mehr in: Öffentlich - Mathematik
Dauer: 00:43:15

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