Quantization of the heat flow on polarized Kähler manifolds

Julien Meyer
Université Libre de Bruxelles

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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