Geometric facets of quantization

Mercredi 6 mai 16:00-18:00 - Leonid Polterovitch - Tel Aviv

Résumé : I will touch upon several topics on the crossroads of quantization
and geometry. In particular, I will explain why compatible almost-complex
structures on symplectic manifolds correspond to optimal quantizations,
and discuss spectral geometry of the Berezin transform describing
quantization followed by dequantization. Joint works with Louis Ioos,
David Kazhdan, Viktoria Kaminker and Dor Shmoish.

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Geometric facets of quantization  Version PDF