Raphaël Ponge (Sichuan University)
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TITLE / TITRE Semiclassical Analysis and Noncommutative Geometry Semiclassical analysis and noncommutative geometry are distinct fields within the wider area of quantum theory. Bridges between them have been emerging recently. This lays down on operator ideal techniques that are used in both fields. In this talk we shall present semiclassical Weyl’s laws for Schrödinger operators on noncommutative manifolds (i.e., spectral triples). This shows that well known semiclassical Weyl’s laws in the commutative setting ultimately holds in a purely noncommutative setting. This extends and simplifies previous work of McDonald-Sukochev-Zanin. There are numerous examples (including sub-Riemannian geometry, open manifolds with conformally cusp metrics, noncommutative tori). The approach relies on spectral asymptotics for some weak Schatten class operators. The talk should be accessible to a wide audience. Join Zoom Meeting Meeting ID: 831 8045 3914 Passcode: 719821 Ìý Ìý |