2023 - T2 - WS1 - GAP XVIII: Homotopy algebras and higher structures

Collection 2023 - T2 - WS1 - GAP XVIII: Homotopy algebras and higher structures

Organizer(s) Cattaneo, Alberto ; Jotz, Madeleine ; Liao, Hsuan-Yi ; Schiavina, Michele ; Stiénon, Mathieu ; Xu, Ping
Date(s) 22/05/2023 - 26/05/2023
linked URL https://indico.math.cnrs.fr/event/7882/
15 16

Symplectic microgeometry and quantization

By Benoît Dhérin

In this talk, we will introduce introduce the notion of symplectic micromorphisms.

First, we will explain how various natural examples such as flows and symmetries in classical mechanics or Poisson structures in geometry can be expressed as special symplectic micromorphisms. Second, we will describe how Fourier integral operators can be used to quantize symplectic micromorphisms yielding quantum counterparts of these structures. (The ideas in this talk are based on works in collaboration with Alan Weinstein, Alberto Cattaneo, Igor Mencattini, and Friedrich Wagemann).

Information about the video

Citation data

  • DOI 10.57987/IHP.2023.T2.WS1.015
  • Cite this video Dhérin, Benoît (24/05/2023). Symplectic microgeometry and quantization. IHP. Audiovisual resource. DOI: 10.57987/IHP.2023.T2.WS1.015
  • URL https://dx.doi.org/10.57987/IHP.2023.T2.WS1.015

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