Quantization of the heat flow on polarized Kähler manifolds

Julien Meyer
Université Libre de Bruxelles
https://www.researchgate.net/profile/Julien_Meyer5

Date(s) : 17/11/2014   iCal
14 h 00 min - 15 h 00 min

Using the geometry of the space of all Kähler metrics in a fixed cohomology class we first show how to construct a sequence of operators which can be thought of as quantized versions of the Laplacian. For each one of these operators we consider the associated “heat flow” and show that these flows converge back to the genuine heat flow in the semi-classical limit. The proof relies on results about the asymptotics of Toepliz operators due to Ma and Marinescu.

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