SEMINARIO DI MATEMATICA

 

Lunedì 12 novembre 2018

ore 16:00

 

Scuola Normale Superiore

Pisa

Aula Bianchi Scienze

 

  Jean-Michel Bony

(CNRS)

terrà un seminario dal titolo:

 

“How to define the symbol of a Fourier Integral Operator?”

 

Abstract:

In 1971, Hörmander introduced the Fourier Integral Operators associated to homogeneous phase functions, and defined their principal  symbol as a section of a line bundle (the Maslov bundle). However, this bundle, abstractly defined via its transition functions, has no concrete meaning and the definition is strictly linked to the homogeneity of the  phases. I developed more recently an extended theory of Fourier Integral Operator associated to non necessarily homogeneous canonical  transformations. In that context,  their symbol  appears naturally as  sections of a more concrete bundle, made of metaplectic operators. The comparison between the two points of view, in the case of (almost) 
homogeneous phase functions leads to a new construction of the Maslov bundle and of  the symbols of FIO.

 

Tutti gli interessati sono invitati a partecipare.

 

Classe di Scienze