The Noncommutative Geometry of Singular Foliations

Iakovos Androulidakis  (National and Kapodistrian University of Athens)

14:00-15:15, Oct 27-29, 2019   Science Building A510


Foliations are examples of dynamical systems that appear in abundance in various fields of mathematics. The highly pathological topology of the associated leaf space is crucial for the understanding of the foliation itself. In the regular case, A. Connes gave the most successful treatment of this space, by means of Noncommutative Geometry. Using the holonomy of the foliation to model this space, he built pseudodifferential operators which replace it successfully. The associated K-theory then accounts for the topology of the leaf space. In this series of lectures we will present the generalisation of all this to singular foliations, which appear much more than often in applications.

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