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@sns.it E-mail: classi@sns.it