Fabio Ferrari Ruffino
Professor Adjunto –
Nível IV
Departamento de Matemática
Universidade
Federal de São Carlos
Rod. Washington Luís, Km 235 -
C.P. 676 - 13565-905 São Carlos, SP, Brasil
Curriculum Vitae: Português – English
Pesquisa
Área
de pesquisa: Topologia
algébrica e diferencial, em particular teorias cohomológicas
diferenciais; aplicações em física matemática,
principalmente na teoria das cordas.
Artigos
publicados e preprints:
FFR and J. C. Rocha Barriga, Relative differential cohomology and generalized Cheeger-Simons characters, Communications in Analysis and Geometry, Vol. 29, no. 4, 2021 (accepted in 2018), arXiv:1811.07035
FFR and J. C. Rocha Barriga, Twisted differential K-characters and D-branes, Nuclear Physics B, Vol. 960, November 2020, 115169, https://doi.org/10.1016/j.nuclphysb.2020.115169, arXiv:2009.04223
FFR, Differential K-characters and D-branes, Proceedings of String-Math 2014, em Proceedings of Symposia in Pure Mathematics, Volume 93 (2016); arXiv:1603.05323
FFR, Relative differential cohomology, Journal of Homotopy and Related Structures (2015) 10:923--937, DOI 10.1007/s40062-014-0088-1; arXiv:1401.1029
FFR, Flat pairing and generalized Cheeger-Simons characters, Journal of Homotopy and Related Structures (2015), DOI 10.1007/s40062-015-0124-9; arXiv:1208.1288
FFR, Relative Deligne cohomology and Cheeger-Simons characters, Communications in analysis and geometry, Volume 22, Number 3, 573–593, 2014; arXiv:1401.0631
FFR, Freed-Witten anomaly and D-brane gauge theories, Proceedings of String-Math 2011, em Proceedings of Symposia in Pure Mathematics, Volume 85 (2012) pp. 433-441; arXiv:1201.3235
FFR, Classifying A-field and B-field configurations in the presence of D-branes - Part II: Stacks of D-branes, Nuclear Physics, Section B 858 (2012), pp. 377-404; arXiv:1104.2798
L. Bonora, FFR and R. Savelli, Revisiting pinors and orientability, Bollettino U.M.I. (9) IV (2012); versão extensa em arXiv:0907.4334
FFR, Gysin map and Atiyah-Hirzebruch spectral sequence, Bollettino U.M.I. (9) IV (2011); arXiv:0904.4103
FFR and R. Savelli, Comparing two different K-theoretical classifications of D-branes, Journal of Geometry and Physics 61 (2011) pp. 191-212; arXiv:0805.1009
FFR, Topics on the geometry of D-brane charges and Ramond-Ramond fields, JHEP 11 (2009) 012; arXiv:0909.0689
L. Bonora, FFR and R. Savelli, Classifying A-field and B-field configurations in the presence of D-branes, JHEP 12 (2008) 078; arXiv:0810.4291
FFR, The topology of the spectrum for Gelfand pairs on Lie groups, Bollettino U.M.I. (8) 10-B (2007), 569-579; arXiv:0706.0708
Livros
publicados
FFR, Topics on topology and superstring theory, Ph. D. Thesis, LAP LAMBERT Academic Publishing, 2013, ISBN 978-3-659-36834-9; arXiv:0910.4524
Didática
Notas de aula
Introdução
à topologia diferencial e algébrica
Volume
0 – Noções preliminares (a ser completado e
revisado)
Volume
I – Topologia diferencial
(a
ser completado e revisado)
Volume II
– Topología algébrica (a ser completado e
revisado)
Resolução dos exercícios
Volume
0
Volume I (a ser completado e
revisado)
Volume II
Introdução
à geometria
Volume
I – Geometria analítica (a ser completado e
revisado)
Volume II –
Álgebra linear (a ser completado e revisado)
Volume
III – Geometria afim, euclidiana e projetiva
Resolução
dos exercícios
Volume
I (a ser completado e revisado)
Volume
II (a ser completado e revisado)
Volume III