Banca de DEFESA: AQUERMAN YANES MARTINHO

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : AQUERMAN YANES MARTINHO
DATA : 25/09/2020
HORA: 14:00
LOCAL: por participação remota
TÍTULO:

Clifford Algebras, Moufang Loops, G2 Structures and Deformations

PÁGINAS: 135
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
SUBÁREA: Álgebra
ESPECIALIDADE: Álgebra Comutativa
RESUMO:

We shall investigate octonionic product deformations which come from the parallelizable torsion on the 7-sphere S7, extending the Moufang identity to these products and obtaining a family of geometries over S7, which arise as new solutions of the moviment equation from the Lagrangian formalism. This is done by considering the spontaneous compactification ADS4xS7, where ADS4 denotes the anti-de Sitter space in four dimensions and its generalizations. Besides the conventional Riemannian geometry and the ones proposed by Cartan and Schouten, we shall obtain solutions in geometries with torsion, as well as in more general seven dimensional spaces. Such formalism will be subsequently derived in the 7-sphere S7 with parallelizable torsion, locally given by the structure constants of a non-associative geodesic loop in the conneceted afine space, which will be afterwards also deformed from the generalization of the so called X-products. G2 structures in 7-manifolds will also be considered, with an introduction of complex octonions and the correspondent G2 structures. 

MEMBROS DA BANCA:
Presidente - Interno ao Programa - 1574260 - ROLDAO DA ROCHA JUNIOR
Membro Titular - Examinador(a) Interno ao Programa - 3078372 - ICARO GONCALVES
Membro Titular - Examinador(a) Interno ao Programa - 1674595 - ZHANNA GENNADYEVNA KUZNETSOVA
Membro Titular - Examinador(a) Externo à Instituição - LLOHANN DALLAGNOL SPERANÇA - UNIFESP
Membro Suplente - Examinador(a) Interno ao Programa - 1724820 - DMITRY VASILEVICH