Banca de DEFESA: BRUNO SOUZA DOS SANTOS DE ALMEIDA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : BRUNO SOUZA DOS SANTOS DE ALMEIDA
DATA : 05/05/2023
HORA: 14:00
LOCAL: Santo André
TÍTULO:

On a Functional Geometric Framework for Classical Field Theory

PÁGINAS: 67
RESUMO:

We present a description of a rigorous geometric and functional framework for the kinematics of classical field theory where field configurations are understood as values of sections of a smooth fiber bundle and observables are given by an appropriate class of functionals over this space. An infinite dimensional smooth manifold structure is introduced in this space through a lift of the differential geometric objects on the fiber bundle to the space of smooth sections of the latter, making possible to perform the differential calculus of such functionals. This lift is canonically determined from a choice of partial covariant derivative on the vertical bundle of the fiber bundle along itself and only depends on the point values of each section.

MEMBROS DA BANCA:
Presidente - Interno ao Programa - 1837720 - PEDRO LAURIDSEN RIBEIRO
Membro Titular - Examinador(a) Interno ao Programa - 1574165 - DANIEL MIRANDA MACHADO
Membro Titular - Examinador(a) Externo à Instituição - FRANK MICHAEL FORGER - USP
Membro Suplente - Examinador(a) Interno ao Programa - 1007539 - FRANCISCO JOSE GOZZI
Membro Suplente - Examinador(a) Externo à Instituição - IVAN STRUCHINER - USP