XXXVII Workshop on Geometric Methods in Physics 1-7.07.2018 VII School on Geometry and Physics 25-29.06.2018
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# Tomoyo Kanazawa

## A Direct Proof for an Eigenvalue Problem by Counting Lagrangian Submanifolds

Here we consider a kind of Schrödinger operators called the Bochner-Laplacian. Using Jensen's Formula and Vandermonde convolution, we show directly that for each $k=0,1,2,\ldots\,$, the number of Lagrangian submanifolds which satisfy the Maslov quantization condition is just equal to the multiplicity of the $k$th eigenvalue of the operator.

 Event sponsored by: University of Bialystok

Webpage by: Tomasz Golinski