[CvGmt News] [Notiziario] [Settimanale] avviso di seminario di Matematica prof. Jean-Michel Bony (12.11.2018)

[Valeria Giuliani]

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


Valeria Giuliani
Scuola Normale Superiore
Servizio alla Didattica e Allievi
tel. 050 509260
Piazza dei Cavalieri, 7
56126 Pisa
E-mail: valeria.giuliani at sns.it
E-mail: classi at sns.it

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