Workshop on Quantum Geometry

Collection Workshop on Quantum Geometry

Organizer(s) Veronica Fantini, Alex Takeda
Date(s) 25/04/2022 - 29/04/2022
linked URL https://indico.math.cnrs.fr/event/7514/
00:00:00 / 00:00:00
2 15

Quantizations of Complex Lagrangian Fibrations, Normal Forms, and Spectra

By Alexander Soibelman

Under certain conditions, it is possible to compute the spectrum of a polynomial differential operator via its Birkhoff normal form. In this talk, I will explain a geometric approach for obtaining the Birkhoff normal form of a quantized Hamiltonian using the variation of Hodge structure for a formal deformation of a complex Lagrangian fibration. This is joint work in progress with Maxim Kontsevich.

Information about the video

  • Date of recording 25/04/2022
  • Date of publication 26/04/2022
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

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