Algebraic Structures, their representation and applications in geometry and non-associative models
Research School CIMPA-UNESCO-MESR-MICINN-COLOMBIA
http://www.cimpa-icpam.org/spip.php?article410
http://matematicas.udea.edu.co/cimpaschool2012
CIMPA RESEARCH SCHOOL
Algebraic Structures, their representation and applications in geometry and nonassociative models
March 4 – 16 de 2012
Hotel Cartagena Plaza, Cartagena de Indias, Colombia
ORGANIZERS
 UNIVERSIDAD DE ANTIOQUIA (U de A)
 UNIVERSIDAD NACIONAL DE COLOMBIA, SEDE
MEDELLÍN (Unalmed)
SPONSORS
International Center for Pure and Applied Mathematics (CIMPA), Instituto
Colombiano para el Desarrollo de la Ciencia y la Tecnología
(COLCIENCIAS), Instituto Colombiano de Crédito Educativo y Estudios en el
Exterior (ICETEX), Universidad de Medellín (U de M), Universidad de los
Andes, Universidad EAFIT, Instituto Tecnológico Metropolitano (ITM),
International Mathemathical Union (IMU), Universidad del Valle, Universidad
del Norte, Universidad de Cartagena, Sociedad Colombiana de Matemáticas
(SCM), Asociación Colombiana de Ciencias Exactas Físicas y Naturales
(ACCEFYN)
Algebraic Structures, their representation and applications in geometry and nonassociative models Research School CIMPA-UNESCO-MESR-MICINN-COLOMBIA
http://www.cimpa-icpam.org/spip.php?article410
http://matematicas.udea.edu.co/cimpaschool2012
REPORT
CIMPA RESEARCH SCHOOL
Algebraic Structures, their representation and applications in geometry and nonassociative models
March 4 -16 de 2012
Hotel Cartagena Plaza, Cartagena de Indias, Colombia
The International Center for Pure and Applied Mathematics (CIMPA), in order
to promote the development of mathematical research in developing countries,
promotes the organization of research schools with the primary objective of
bringing together regional researchers and students with an interest in
mathematics and its applications. Thus, in 2010, after a convocatory, the
Institute of Mathematics, University of Antioquia (U de A) and the School of
Mathematics, National University of Colombia, Medellín (Unalmed) organized
a CIMPA Research School "Algebraic Structures, Their representation and
Applications in geometry and non-associative models" (CIMPA-UNESCOMESR-MICINN-COLOMBIA) which was held at the Hotel Cartagena Plaza
during 4-16 March 2012 in the city of Cartagena de Indias, Colombia.
The CIMPA Research School developed mainly in the following topics:
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Nonassociative Algebras
Algebraic Geometry
Representation Theory
AIM OF THE SCHOOL
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To establish links between international and national researchers and
students.
To promote the development of the subject through academic exchange
among South American researchers.
To update the knowledge of our local mathematical community by inviting
senior local and international researchers.
To introduce graduate and advanced undergraduate students to the current
research topics.
To enhance the Algebra community in Colombia.
To facilitate students connect with international researchers who help them
to get funding or at least acceptance for further studies abroad.
To facilitate Colombian students and professors interested nonassociative
algebras, representations and applications in geometry, study a Masters or a
Doctoral degree in Colombia or abroad.
SCIENTIFIC COMMITTEE
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Nicolas Andruskiewitsch, Universidad Nacional de Cordoba, Argentina
Leticia Brambila Paz, Centro de Investigación en Matemáticas, Mexico
Pedro Luis Del Ángel, Centro de Investigación en Matemáticas, Mexico
Eduardo do Nascimento Marcos, Universidade de Sao Paulo, Brazil
Alberto Elduque, Universidad de Zaragoza, Spain
Esther García, Universidad Rey Juan Carlos, Spain
Dieter Happel, Chemnitz University of Technology, Germany
Cesar Polcino, Universidade de Sao Paulo, Brazil
Ivan Shestakov, Universidade de Sao Paulo, Brazil
Sonia Trepode, Unversidad Nacional del Mar del Plata, Argentina
Otmar Venjakob, Mathematisches Institut, Universität Heidelberg, Germany
Wilson Zuñiga, Centro de Investigación y de Estudios Avanzados, Mexico
ADMINISTRATIVE AND SCIENTIFIC COORDINATORS
 Maria Jose Souto (Universidade da Coruña, A Coruña, Spain)
[email protected]
 Alberto Medina (Université de Montpellier II, Montpellier, France)
[email protected]
 Hernán Giraldo (U de A, Medellín, Colombia)
[email protected]
ORGANIZING COMMITTEE
Hernán Giraldo (U de A) [email protected],
Faber Gómez (U de A) [email protected],
Raúl Velázquez (U de A) [email protected],
Mauricio Londoño (U de A) [email protected],
Luis Alberto Wills (Unalmed) [email protected]
ACADEMIC ACTIVITIES
SHORT COURSES (7)
Almost of them each had a duration of 8 hours.
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INTRODUCTION TO JORDAN SYSTEMS, CONNECTIONS WITH LIE
ALGEBRAS, Miguel Gómez Lozano y Cristina Draper, Universidad de Málaga,
Spain.
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LIE ALGEBRAS: KILLING-CARTAN
Universidad de Zaragoza, Spain.
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INTRODUCTION TO TILTING THEORY, María Julia Redondo, Universidad de
Buenos Aires, Universidad Nacional del Sur, Argentina.
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REDUCTION IN REPRESENTATION OF ALGEBRAS, Raymundo Bautista,
Universidad Nacional Autónoma de Mexico, Morelia, Mexico.
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EXTENSION ALGEBRAS, Dag Oskar Madsen, University of Nordland, Norway.
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INTRODUCTION TO LOCAL ZETA FUNCITIONS, Wilson Zúñiga, Centro de
Investigación y de Estudios Avanzados, Mexico.
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p-ADIC NUMBERS AND THE HASSE PRINCIPLE,
Mathematisches Institut, Universität Heidelberg, Germany.
CLASSIFICATION,
Alberto
Otmar
Elduque,
Venjakob,
INTERNATIONAL SPEAKERS (17)
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Alejandro Tiraboschi, Universidad Nacional de Córdoba, Argentina
María Andrea Gatica, Universidad Nacional del Sur, Argentina
Claudia Chaio, Universidad Nacional de Mar del Plata, Argentina
Dalia Arstentein, Universidad de la República, Uruguay
Eduardo do Nascimento Marcos, Universidad de Sao Paulo, Brazil
Edison Alberto Fernández Culma, Universidad Nacional de Córdoba, Argentina
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Flavio Ulhoa Coelho, Universidad de Sao Paulo, Brazil
Ivan Shestakov, Universidad de Sao Paulo, Brazil
Jeanneth Galeano, CINVESTAV, Mexico
Marcelo Lanzilotta, Universidad de la República, Uruguay
Mariano Suarez-Alvarez, Universidad de Buenos Aires, Argentina
Otmar Venjakob, Mathematisches Institut, Universität Heidelberg, Germany.
Paula Andrea Cadavid, Universidad de Sao Paulo, Brazil
Pedro Luis Del Ángel, Centro de Investigación en Matemáticas, Mexico
Peter Schneider, Westfälische Wilhelms-Universität Münster, Germany
Vyacheslav Futorny, Universidad de Sao Paulo, Brazil
Yadira Valdivieso, Universidad Nacional del Mar del Plata, Argentina
NATIONAL SPEAKERS (20)
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Agustín Moreno Cañadas, Universidad Nacional de Colombia, Bogotá
Carlos Cadavid, Universidad EAFIT, Medellín
Claudio Rodriguez, Universidad del Rosario, Bogotá
Erik Backelin, Universidad de los Andes, Bogotá
Jarod Alper, Universidad de los Andes, Bogotá
Faber Gómez González, Universidad de Antioquia, Medellín
Héctor Quiceno, ITM, Medellín
Ivon Dorado, Universidad Nacional de Colombia, Bogotá
Jaime Andres Angel, Universidad de los Andes, Bogotá
John Jader Mira, Universidad Nacional de Colombia, Medellín
Danny de Jesús Gómez, Universidad Nacional Colombia, Medellín
Juan Diego Vélez, Universidad Nacional de Colombia, Medellín
Luis Alberto Wills Toro, Universidad Nacional de Colombia, Medellín
Mary Luz Rodiño, Universidad de Antioquia, Medellín
Milton Armando Reyes, Universidad Nacional de Colombia, Bogotá
Olga Salazar, Universidad Nacional de Colombia, Medellín
Oswaldo Lezama, Universidad Nacional de Colombia, Bogotá
Pablo Felipe Ardila, ITM, Medellín
Primitivo Acosta-Humanez, Universidad del Norte, Barranquilla
 Raul Eduardo Velasquéz Ossa, Universidad de Antioquia, Medellín
RESULTS OF THE MEETING
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The event was attended by 106 people, of which 44 were national and international
speakers, 21 international students, 34 national students and other participants
were professors Colombians.
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Some students made contacts with international researchers to obtain funding or
acceptance in the doctoral or postdoctoral programs in their places of origin.
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The Colombian and other mathematical communities in the neighboring countries
interested in the topics of the school were educated and updated on the latest
research results of great importance.
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Consolidation of national and interregional working groups.
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Mathematical interests of teachers and students involved were greatly encouraged.
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Latest trends in the research topics were made accessible to graduate students and
advanced undergraduate students.
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Interaction of students attending the meeting with highly renowned researchers in
the topics of the meeting.
CONCLUSIONS
The CIMPA Research School, “Algebraic Structures, Their representation and Applications
in geometry and non-associative models”, became an arena for exchange of knowledge
among participants. It was a great opportunity to update and position our programs at
national and international stages, which magnifies the possibility of signing agreements
that facilitate, among other activities, the movement of trainees of our programs (in all
participating universities) to institutions of origin of visitors, and consolidated the
interaction with institutions like the University of Sao Paulo, Universidad Nacional
Autonoma de Mexico, Universidad Nacional de Córdoba, Universidad Nacional del Sur,
University of the Republic, among others.
The proposed topics were well received by students who attended the event and
especially at the University of Antioquia. This allowed advanced semester students of the
program to find ideas to write an attractive thesis. Additionally, the participation of students
from the Universidad Nacional de Colombia at Medellín improved links between our and
their researchers and students.
The contacts made during the event will be vital for further progress and development in
education, science and technology in the country. In addition it will strengthen next
academic events, such as algebra ALTENCOA meeting held every two years in the
country.
Exposure to the research of national and international researchers and their latest
contributions to the academic community will be of great benefit to the development and
consolidation of the graduate programs of our universities and helps our graduates in their
future doctoral and postdoctoral studies.
FINANCIAL REPORT
INCOME
* 1EUR=$2.350
Universidad de Antioquia (U de A)
$ 35.350.000
CIMPA*
$ 36.000.000 (15,32 kEUR)
ICETEX
$ 16.775.000
IMU*
$ 3.895.000 (1,66 kEUR)
Universidad de los ANDES
$ 4.620.000
Universidad Nacional de Colombia, sede Medellín
$ 20.350.000
Universidad Cartagena
$ 6.145.000
Universidad de Medellín
(U de M)
$ 5.000.000
Universidad EAFIT
$ 3.000.000
Universidad del Valle
$ 1.440.000
Universidad del Norte
$ 1.800.000
Instituto Tecnológico Metropolitano
$ 2.000.000
ACCEFYN
$ 1.000.000
SCM
$ 3.000.000
COLCIENCIAS
$ 14.500.000
REGISTRATION FEE
$ 3.400.000
TOTAL INCOME*
$ 158.275.000 (67,35 kEUR)
* 1EUR=$2.350
EXPENSES
Professors and Students U de A
$ 19.271.000
Students Scholars and Guests to the School
$ 24.806.000
Logistics
$ 7.283.000
Students Scholars CIMPA
$ 36.000.000
Guests ICETEX and U of M
$ 19.175.000
Servicios de Extensión
$ 544.000
Other Guests
$ 36.355.000
TOTAL EXPENSES*
$ 143.434.000 (61,04 kEUR)
DIFFERENCE*
$ 14.841.000 (6,31 kEUR)
LIST OF PARTICIPANTS
1
Name
Country
University
e-mail
Agustín Moreno
Colombia
Universidad Nacional de Colombia
[email protected]
Cañadas
2
Alberto Elduque
Spain
Universidad de Zaragoza
[email protected]
3
Alejandro Arrieta
Colombia
Universidad de Cartagena
[email protected]
4
Alejandro Sánchez Yali
Colombia
Universidad de Antioquia
[email protected]
5
Alejandro Simarra
Brazil
Instituto de Matemática Pura e Aplicada
[email protected]
6
Alejandro Tiraboschi
Argentina
Universidad Nacional de Córdoba
[email protected]
7
Alexis Carrillo
Colombia
Universidad de Cartagena
[email protected]
8
Aníbal Álvarez
Colombia
Universidad Nacional de Colombia, sede Medellín
[email protected]
9
Armando Reyes
Colombia
Universidad Nacional de Colombia, Bogotá
[email protected]
10
Carlos Andrés Molina
Colombia
Universidad de Cartagena
[email protected]
11
Carlos Cadavid
Colombia
Universidad EAFIT
[email protected]
12
Carlos Molina
Colombia
Universidad de Cartagena
[email protected]
13
Catalina Ossa
Colombia
Universidad Nacional de Colombia, sede Medellín
[email protected]
14
Claude Cibils
France
CIMPA
[email protected]
15
Claudia Chaio
Argentina
Universidad Nacional del Mar del Plata
[email protected]
16
Claudio Rodríguez
Colombia
Universidad del Rosario
[email protected]
17
Cristina Draper
Spain
Universidad de Málaga
[email protected]
18
Dag Oskar Madsen
Norway
University of Nordland
[email protected]
19
Dalia Arstentein
Uruguay
Universidad de la República
[email protected]
20
Daniel Andrés Lozoya
Mexico
Universidad Autónoma de San Luis Potosí
[email protected]
Ponce
21
Daniel Lopez Aguayo
Mexico
Universidad Nacional Autónoma de México
[email protected]
22
Danny de Jesús
Colombia
Universidad Nacional de Colombia, sede Medellín
[email protected]
Gómez
23
Eder Martelo
Colombia
Universidad de Cartagena
[email protected]
24
Edison Alberto
Argentina
Universidad Nacional de Córdoba
[email protected]
Brazil
Universidade de São Paulo
[email protected]
Fernández Culma
25
Eduardo Marcos do
Nascimento
26
Erick Backelin
Colombia
Universidad de los Andes
[email protected]
27
Faber Gómez González Colombia
Universidad de Antioquia
[email protected]
28
Flavio Ulhoa Coelho
Brazil
Universidade de São Paulo
[email protected]
29
George Malambo
Colombia
Universidad de Cartagena
[email protected]
Acosta
30
German Alonso Benítez Brazil
Universidad Federal do Paraná
[email protected]
31
Gloria Miyeth Restrepo
Colombia
Instituto Tecnológico Metropolitano
[email protected]
32
Griselda Carolina
Mexico
Universidad Autónoma de San Luis Potosí
[email protected]
Franco
33
Guillermo Cervantes
Colombia
Universidad del Norte
[email protected]
34
Gustavo Mata
Uruguay
Universidad de la República
[email protected]
35
Harry Smith Guzmán
Colombia
Universidad Nacional de Colombia, sede Medellín
[email protected]
Guzmán
36
Héctor Quiceno
Colombia
Instituto Tecnológico Metropolitano
[email protected]
37
Hernán Giraldo
Colombia
Universidad de Antioquia
[email protected]
38
Hipolito Treffinger
Argentina
Universidad Nacional de la Pampa
[email protected]
39
Holmes Alberto
Colombia
Universidad Nacional de Colombia, sede Medellín
[email protected]
Chavarría
40
Iryna Kashuba
Brazil
Universidade de São Paulo
[email protected]
41
Ivan Shestakov
Brazil
Universidade de São Paulo
[email protected]
42
Ivon Dorado
Colombia
Universidad Nacional de Colombia
[email protected]
43
Jackeñin Chacón
Colombia
Universidad de Cartagena
[email protected]
44
Jaime Andrés Ángel
Colombia
Universidad de los Andes
[email protected]
45
Jairo López
Colombia
Universidad de Cartagena
[email protected]
46
Jarnish Beltrán Mejía
Chile
Universidad de Santiago de Chile
[email protected]
47
Jarod Alper
Colombia
Universidad de los Andes
[email protected]
48
Javier Gutiérrez
Argentina
Universidad Nacional del Córdoba
[email protected]
49
Jeanneth Galeano
Mexico
CINVESTAV
[email protected]
50
Jhon Alexander
Colombia
Universidad de Antioquia
[email protected]
Ramírez
51
John Jader Mira
Colombia
Universidad Nacional de Colombia, sede Medellín
[email protected]
52
José J. Torres
Colombia
Universidad de Medellín
[email protected]
53
José Negrete
Colombia
Universidad de Cartagena
[email protected]
54
Juan Diego Vélez
Colombia
Universidad Nacional de Colombia, sede Medellín
[email protected]
55
Julio Muñoz
Colombia
Instituto Tecnológico Metropolitano
[email protected]
56
Leandro Orozco
Colombia
Universidad de Antioquia
[email protected]
57
Lisbet de Jesús Orozco
Colombia
Universidad de Cartagena
[email protected]
Martínez
58
Luciana Torres
Colombia
Universidad de Cartagena
[email protected]
59
Lucrecia Juliana
Argentina
Universidad Nacional del Sur
[email protected]
Román
60
Luis Alberto Wills
Colombia
Universidad Nacional de Colombia, sede Medellín
[email protected]
61
Luis Enrique Ramírez
Brazil
Universidade de São Paulo
[email protected]
62
Luis Felipe Duque
Colombia
Universidad Nacional de Colombia
[email protected]
Álvarez
63
Luis Giraldo
Colombia
Universidad Nacional de Colombia
[email protected]
64
Marcelo Lanzilotta
Uruguay
Universidad de la República
[email protected]
65
María Andrea Gatica
Argentina
Universidad Nacional del Sur
[email protected]
66
María Angélica
Colombia
Universidad de Cartagena
[email protected]
Simancas
67
Maria Izabel Ramalho
Brazil
Universidade de São Paulo
[email protected]
68
María Julia Redondo
Argentina
Universidad Nacional del Sur
[email protected]
69
Mariano Suarez
Argentina
Universidad de Buenos Aires
[email protected]
Colombia
Universidad de Antioquia
[email protected]
Álvarez
70
Mary Luz Rodiño
71
Mauricio Londoño
Colombia
Universidad de Antioquia
[email protected]
72
Milton Armando Reyes
Colombia
Universidad Nacional de Colombia
[email protected]
73
Miguel Gómez Lozano
Spain
Universidad de Málaga
[email protected]
74
Nadina Elizabeth Rojas
Argentina
Universidad Nacional de Córdoba
[email protected]
75
Norberto Tabarez
Colombia
Universidad de Antioquia
[email protected]
76
Olga Salazar
Colombia
Universidad Nacional, sede Medellín
[email protected]
77
Olmer Folleco Solarte
Brazil
Universidade de São Paulo
[email protected]
78
Oscar Francisco Casas
Colombia
Universidad de los Andes
[email protected]
Sánchez
79
Oswaldo Lezama
Colombia
Universidad Nacional de Colombia
[email protected]
80
Otmar Venjakov
Germany
Universität Heidelberg
[email protected]
81
Pablo Felipe Ardila
Colombia
Instituto Tecnológico Metropolitano
[email protected]
82
Pablo Zadunaski
Argentina
Universidad de Buenos Aires
[email protected]
83
Paula Andrea Cadavid
Brazil
Universidade de São Paulo
[email protected]
84
Pedro Luis del Ángel
Mexico
CIMAT
[email protected]
85
Pedro Ortega
Colombia
Universidad de Cartagena
[email protected]
86
Peter Schneider
Germany
Universität Münster
[email protected]
87
Primitivo Acosta-
Colombia
Universidad del Norte
[email protected]
Humanez
88
Quimey Vivas
Argentina
Universidad de Buenos Aires
[email protected]
89
Rafael Galeano
Colombia
Universidad de Cartagena
[email protected]
90
Raúl Eduardo
Colombia
Universidad de Antioquia
[email protected]
Velásquez
91
Raymundo Bautista
Mexico
Universidad Nacional Autónoma de México
[email protected]
92
Robinson Alexander
Colombia
Universidad de Antioquia
[email protected]
Higuita
93
Rosa delgado
Colombia
Universidad de Cartagena
[email protected]
94
Rosendo García
Mexico
Universidad Autónoma de San Luis Potosí
[email protected]
Delgado
95
Sandra Gutiérrez
Colombia
Universidad de Cartagena
[email protected]
96
Santiago Pineda
Colombia
Universidad Nacional de Colombia, sede Medellín
[email protected]
Colombia
Universidad de Antioquia
[email protected]
Montoya
97
Saulo Andrés Carmona
Toro
98
Sebastián Álvarez
Colombia
Universidad de Antioquia
[email protected]
99
Sergio Nicolas Chouhy
Argentina
Universidad de Buenos Aires
[email protected]
100
Vyacheslav Futorny
Brazil
Universidade de São Paulo
[email protected]
101
Wilson Zuniga
Mexico
CINVESTAV
[email protected]
102
Wincy Guerra Polania
Colombia
Universidad Nacional de Colombia, sede Medellín
[email protected]
103
Yadira Caicedo
Colombia
Universidad del Valle
[email protected]
104
Yadira Valdivieso
Argentina
Universidad de Mar del Plata
[email protected]
105
Yohny C. Gómez
Colombia
Universidad del Valle
[email protected]
106
Yuliya Zelenyuk
South
University of Witwatersrand
[email protected]
Africa