Symposium on Clifford Algebras,
Mathematical Physics and Related Topics
July 30, 2018, Federal University of ABC
Room A1140 (Bloco A, Campus Santo André)
Organizer
Nelson José Rodrigues Faustino
Room: 5182, Bloco
A, Campus Santo André
Phone
Number: +55 (11) 49968314
Email: nelson.faustino@ufabc.edu.br
The symposium is meant as an opportunity to join
postgraduate students and researchers interested on Clifford algebras and
mathematical physics. The different talks will shed some light on the broad
variety of research topics in the interface between pure and applied
mathematics.
During the symposium the participants will have the
opportunity to exchange ideas, in a very informal style, with the lecturers.
Successfully participants will receive a certificate of attendance.
If you are interested
on attending the symposium, please send
me an email, including your complete
name and host institution. There
is no registration fee.
1.
Lívia Fernandes BARROS, Nuclear and Energy Research Institute (IPEN/USP), Brazil
2. Robson Zacarelli
DENKE, Regional University of Blumenau (FURB),
Brazil
3. Gisele
Cristina DUCATI, Federal
University of ABC (UFABC), Brazil
4.
Carlos Andrés Palechor IPIA,
Federal
University of ABC (UFABC), Brazil
5.
António
Cândido FALEIROS, Federal University
of ABC (UFABC), Brazil
6.
Nelson José Rodrigues FAUSTINO,
Federal University of ABC (UFABC), Brazil
7. Sergio Augusto Giardino FILHO, Federal University of Rio Grande do Sul (UFRGS), Brazil
8. Malika Ait Ben
HADDOU, Moulay Ismail University,
Morocco
9. El Hassan El KINANI, Moulay Ismail
University, Morocco
10. Paul Charles LEOPARDI, University of Melbourne & Australian Government,
Bureau of Meteorology, Australia
11.
Aquerman Yanes MARTINHO, Federal
University of ABC (UFABC), Brazil
12. Vitor Martins GONÇALVES, Federal
University of ABC (UFABC), Brazil
13. Zouhair MOUAYN, Sultan Moulay
Silimane University, Morocco
14.
Diego Sousa de OLIVEIRA, Federal University of ABC (UFABC),
Brazil
15. Mateus Gonzalez de Freitas PINTO,
Federal University of ABC (UFABC), Brazil
16. Pedro Lauridsen RIBEIRO, Federal University of ABC (UFABC), Brazil
17. Roldão da ROCHA, Federal University of ABC (UFABC), Brazil
18. Hector Leny Carrion SALAZAR, Federal University of Rio Grande do Norte (ECT/UFRN), Brazil
19. Bruno Vieira Ramos SILVA, Federal University of ABC (UFABC), Brazil

Hours 
Lecturers 
Event 
Title and Abstract 
Morning Session 
08:3008:55 
Welcome Coffee Opening Session 



09:0009:40 
Zouhair Mouayn
(chair:
Nelson Faustino) 
Talk 
Analysis of photoncount number
distributions associated with higher Landau levels By constructing generalized coherent states, to each
Euclidean Landau level corresponds a generalized Poisson distribution and to
each hyperbolic Landau level is attached a generalized negative binomial
distribution. For these probability distributions, we write atomic
decompositions and we discuss the nonclassical nature of the associated
coherent states. We derive LévyKhintchinetype
representations of their characteristic functions
when the latters do not vanish and
deduce that they are quasiinfinitely divisible except for lowest Landau
levels. By considering the total variation of the obtained
quasiLévy measures, we introduce new infinitely divisible distributions. 

09:4510:25 
Sergio
Giardino (chair: Gisele Ducati) 
Talk 
Quaternionic quantum
mechanics in real Hilbert space We will entertain a novel formulation of quantum mechanics where the wave
functions are quaternionic and the Hilbert space is real. We
will consider its physical motivations, mathematical consistency and exciting
directions for future research. 

10:3011:00 

Coffee Break 


11:0511:45 
Paul Leopardi (chair: Sérgio Giardino) 
Talk 
GastineauHills' quasiClifford algebras and plugin constructions for
Hadamard matrices Talk based on the preprint https://arxiv.org/abs/1804.09454. 

11:5012:30 
Malika Ait Ben Haddou (chair:
Sérgio Giardino) 
Talk 
·
PseudoEuclidean
Alternative Algebras 

12:4014:00 

Lunch Break 

Afternoon Session 
14:0514:45 
El Hassan El Kinani (chair: Zouhair Mouayn) 
Talk 
Invariant
Subspace Method: Application to Nonlinear Dispersive Equation with
timeCaputoFabrizio Fractional Derivative In this work, the invariant
subspace method is applied to the nonlinear dissipative equation with time
fractional CaputoFabrizio derivative. The obtained reduced system of
nonlinear ordinary ·
fractional
equations is solved by using the Laplace transform
method and with using of some useful properties of MittagLeffler
function. Then, some exact solutions of the proposed time fractional
nonlinear equation are found. 

14:5015:30 
Pedro Lauridsen
Ribeiro (chair: Zouhair Mouayn) 
Talk 
Hyperbolic PDE systems, hyperbolic polynomials and generalized 

15:35 – 16:00 

Coffee Break 


16:00 – 17:00 
Nelson Faustino et
al. 
Round Table Closing Session 
Further topics of research 
By Metro and Train
The UFABC Campus of Santo André
is located across the Prefeito Celso
Daniel/Santo André train station, Line 10 (Turquesa (ptbr) Turquoise ) of the CPTM.
If you intend to come from São Paulo city by metro, you must take Line 2 (verde (ptbr) green ) towards Vila Prudente. On the
metro station of Tamanduateí
you must exchange to CPTM to Line 10 towards Mauá/Rio Grande da Serra.
–
Symposium partially sponsored by