
Cooperation with Latin America
The strengthening of S&T in different developing countries should be a shared responsibility
at a regional and global levels of the relatively scientifically more developed ones, as is
the case of Brazil. In fact, this is the official police of the Brazilian Government and the
IMAGIMB is much contributing to implement such a police in the area of mathematics,
specially with respect to Latin America. With the relatively more developed countries in
the region, joint research projects have been developed and conference have been organized
by Brazilian and their colleagues from neighboring countries. Also in this case, tutorial
missions of advanced level have been organized so that Brazilian mathematicians give courses
abroad in research topics. With respect to other countries, tutorial missions at an
introductory level are taking place consisting of courses given by Brazilian researchers
to undergraduate students and the best of them are stimulated to pursue graduate courses
in Brazilian institutions.
IMAGIMB has been giving an important contribution to the expansion of the Brazilian
scientific collaboration with mathematicians from several countries in Latin America:
Argentina, Bolivia, Chile, Colombia, México, Peru, Uruguay e Venezuela. As planned in the
original project of IMAGIMB, two kinds of actions have been conceived and are being taking
place to consolidate and upgrade substantially the cooperation of Brazilian mathematics
with Latin America, as sketched above:
 Tutorial missions at an introductory level, directed to young undergraduate students of
neighboring countries and advanced level tutorial missions, directed to advanced undergraduate
and graduate students, as well as researchers.
 Visits of Latin American researchers to Brazil to collaborate with local mathematicians
in research projects and to participate in congresses, workshops and in Brazilian PostDoctoral
programs.
The specific activities were the following ones.
Tutorial missions at an introductory level:
 Visit of Sergio Xavier Mendonça to Bolivia to present an introductory course in Differential
Geiometry, in the period of June 31July 31, 2002.
 Invitation to Bolivian students to pursue Summer courses in the Fluminense Federal University
from January 6February 28, 2003. They were selected in introductory tutorial courses previously
delivered in Bolivia by A.Hefez and S.Mendonça.
 Participation of Abramo Hefez in the Bolivian Congress of Mathematicians, from August
2529, 2003. On this occation, the joint activities for the following year were planned.
He also gave a talk entitled "Diophantine equations from Fermat to Wiles".
 Tutorial mission of Rafael Ruggiero to Venezuela to deliver a minicourse "Geodeisc Flows
on surfaces" in the XVI Escola Venezuelana de Matematica, held in Merida from September 713,
2003.
 Another joint activity of UFF and IMAGIMB was the invitation to 15 Latin American
students to take Summer courses in early 2004, at Fluminense Federal University There were
5 students from Bolivia, 6 from Chile, 2 from Colombia and 2 from Peru.
 IMAGIMB and the Latin American and Caribbean Mathematical Union  UMALCA organized a
School from May 31June 12, 2004, in Cochabamba, directed to undergraduate students from
Bolivia and neighboring countries. Three courses were offered: Number Theory, by C.Moreira,
Dynamical Systems, by B.S.Martin and Probability in Mathematical Economics, by L.Irineu,
with the effective participation of 25 students, although many more informally attended the
lectures.
Advanced Tutorial Missions:
 Paulo Cezar P.Carvalho, Benar Svaiter, Claudia Sagastizabal, Luiz Velho, Mikhail Solodov
visited IMCA to deliver advanced courses on optimization and computer graphics, in the period
of October 617, 2003.
 Hossein Movasati also visited IMCA to deliver a course in dynamical systems in the period
of April 925, 2003.
 Visits of Latin American researchers to Brazil to collaborate with local mathematicians in
research projects and to participate in congresses, workshops and in Brazilian PostDoctoral
programs.
Scientific Visits:
 Visit of Gonzalo Contreras, from CIMAT, Guanajuato, Mexico, from October 130, 2003,
to the Federal University of Rio Grande do Sul to work with Artur Lopes and to interact
with Ph.D. students. Following that, he also visited the Federal University of Minas Gerais
to work with Mario Jorge Dias Carneiro, Sonia Pinto e Silvie Ollifson. In both occasions, they
developed research works in mechanics on Mather´s theory. In the first case, Ruy Exel of the
Federal University of Santa Catarina, was also involved.
 Visit of Wilfredo Sosa, to IMPA in the period of March 10April 10, 2003 to work with
the Optimization group (two recent articles in collaboration with A.Iusem: Sosa, Wilfredo
Iterative algorithms for equilibrium problems. Optimization 52 (2003), no. 3, 301316 e Sosa,
Wilfredo New existence results for equilibrium problems. Nonlinear Anal. 52 (2003), no. 2,
621635) and with the Optimization group of LNCC (a recent article in collaboration with
Fernanda Raupp: A new approach to a multicriteria optimization problem. Numer. Algorithms 35
(2004), no. 24, 233247).
 Visit of Percy Fernandes to IMPA in the period of January 4March 4, 2003, to participate
in the PostDoctoral Summer Program and work in foliations with finite automorphisms group
in the projective space, with local complex dynamics researchers.
 Visit of Pedro Ubilla to UNICAMP, in the periods of June 118 and November 1530, 2003
to work with D.Figueiredo (UNICAMP), J.P.Gossez (Univ. Libre de Bruselles), J.M.Bezerra
do O (Federal University of Paraiba) and Ph.D. students. This visit lead to the conclusion
of research works. This collaboration also involves other mathematicians from different
institutions in Chile and Brazil. Djairo Figueiredo delivered the key address a the course
in the meeting COMCA, 2004, in Chile.
 Visit of Juan Tirao from Univ. Cordoba to IMPA, in the period of July 2003, to work with
J.Zubelli from IMPA, Alberto Grunbaum, UC, Berkeley and J.J. Duistermaat from Utrecht.
 Visit of Alicia Dickenstein to the University of São Paulo  São Carlos in the period of
February 220, 2004, to deliver a minicourse "Discriminants, resultants and multidimensional
discriminants" and a conference in a meeting organized by A.Hefez, in the Fluminense Federal
University.
 Visits of Mario Wschebor, Ricardo Fraiman e Ernesto Mordecki, from Uruguay, to work with
Pablo Ferrari and other probabilists from the University of São Paulo, under the projec
"Networks, Trees, Complexity and Stochastic Matrices" in the periods of October 1923,
December 14, 2003 and January 2630, 2004, respectively.
 Visit of Roberto Markarian, from Uruguay, to IMPA in the period of November 1530, 2003,
to work on "Ergodicity in billards with stochastic perturbations" with Vladas Sidoravicius.
The work is being concluded.
Participation in National Events:
 Participation of Latin American mathematicians in IMPA´s PosDocotoral Summer program,
in January and February, 2003.
 Participation of four mathematicians from Latin America in the Congress Complex Analytic
Methods in Dynamical Systems, held in IMPA in the period of August 2529, 2003.
 Participation of Uruguayan researchers and students in the XXIX Conference on Stochastic
Processes and their Applications  VII Brazilian School on Probability, Angra dos Reis,
August 39, 2003.
 Moreover, there was an intense participation of Latin American researchers in the many
scientific events promoted by IMAGIMB in all areas of mathematics that the Institute
comprises, according to the different reports.
