International Congress of Mathematicians August 1–9, 2018 – Rio De Janeiro, Brazil Springer.Com
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RIO Intelligencer International Congress of Mathematicians August 1–9, 2018 – Rio de Janeiro, Brazil springer.com Mathematics books from Springer A. C. Muniz Neto J. A. Trangenstein Y. Neuman An Excursion Scientific Computing Mathematical through Elementary Vol. II - Eigenvalues and Structures of Natural Mathematics, Optimization Intelligence Volume III 2017, XXVI, 600 p. 645 2017, XVII, 173 p. Discrete Mathematics illus., 111 illus. in color. 39 illus., 6 illus. in color. and Polynomial Algebra 2018, XII, 648 p. 24 illus. J.-B. Hiriart-Urruty M. J.D. Hamilton C. Audet, W. Hare Mathematical Tapas Mathematical Gauge Derivative-Free and Volume 2 (From Theory Blackbox Optimization Undergraduate to With Applications to the 2017, XVIII, 302 p. 38 Graduate Level) Standard Model of illus. 2017, XII, 255 p. 10 illus., Particle Physics 5 illus. in color. 2017, XVIII, 658 p. 40 illus. F. Pukelsheim V. Baladi M. Y. Li Proportional Dynamical Zeta An Introduction to Representation Functions and Mathematical Apportionment Methods Dynamical Modeling of Infectious and Their Applications Determinants for Diseases 2nd ed. 2017, XXVII, 342 Hyperbolic Maps 2018, X, 156 p. 50 illus. p. 14 illus., 4 illus. in A Functional Approach color. 2018, XV, 291 p. 1 illus. D. Rowe J. Roe, R. deForest, G. Glaeser A Richer Picture of S. Jamshidi Math Tools Mathematics Mathematics for 500+ Applications in The Göttingen Tradition Sustainability Science and Arts and Beyond 2018, XIX, 523 p. 2017, VI, 562 p. 650 illus., 2018, XIX, 461 p. 205 446 illus. in color. illus., 72 illus. in color. Available as both print books and eBooks from springer.com A56389 #1#Springer#2#Advertisement#3#2018#4#A56389_ICM_ad_2018#5#HRM_A56389_ICM_ad_2018 1 4-6-2018 17:12:52 Contents Welcome Message from the President of the IMU. .........................4 Courtesy of IMPA Courtesy Welcome Message from the Chairman of the ICM 2018 Scientific Editors Organizing Committee ..................................................................................6 José Maria Espinar Garcia IMPA, Rio de Janeiro, Brazil E-mail: [email protected] Welcome Message from the President of the Brazilian Mathematical Society ..................................................................................... 7 Pablo Guarino UFF, Rio de Janeiro, Brazil The Brazilian Math Olympiad of Public Schools, 10 Years E-mail: [email protected] Promoting Social Justice Through Academic Merit .......................8 Executive Editors Brazil’s Peculiar Journey to the Elite of Math ....................................13 Raphael Gomide Corcovado Comunicação Estratégica, Rio de Janeiro, Brazil The Development of the Brazilian School of E-mail: [email protected] Dynamical Systems ........................................................................................15 Robinson Nelson dos Santos Springer, São Paulo, Brazil A Gender Perspective on Mathematics in Brazil .............................21 E-mail: [email protected] Writers and copy editors: Karine Rodrigues and Sergio Algebraic Geometry in the Interface of Pure and Torres Applied Mathematics .................................................................................. 24 Design: Miro (OMERCADOR), São Paulo, Brazil Printing: Pigma, São Caetano do Sul, Brazil IMO-Style Problems: Are You Ready for a Gold Medal? .............32 Biennium of Mathematics: Approaching Brazilians and Mathematics ........................................................................................... 34 Kleinian Groups in Several Complex Variables ............................... 39 Nonlinear Diffusion Processes: Geometric Ideas and Beyond ...................................................................................................... 42 Olympiads Arouse Enthusiasm for Mathematics .......................... 49 The Development of Differential Geometry in Brazil ...................53 The Early Years of Applied Mathematics in Brazil: A Brief Account on How It Developed ............................................................... 56 Front cover: View of Morro da Urca and Guanabara A Glimpse of the Current Research Activities in Applied Bay from the Sugar Loaf Cable Car. Photo courtesy of Bondinho Pão de Açúcar. Mathematics in Brazil .................................................................................. 63 Academic Events Mobilize Institutions in the School Break .... 66 The Rio Intelligencer is a gift from Springer on the occasion of the International Conference of Mathematicians 2018 in Rio de Janeiro, Brazil. Its contents and recommendations solely reflect the experiences and views of its authors. Solutions to “IMO-Style Problems: Are You Ready for a Gold Medal?” ........................................................................................ 70 Mathematics Editorial Springer Tourist Guide ....................................................................................................74 Shigefumi Mori President, IMU Professor Emeritus, Kyoto University, Japan E-mail: [email protected] Welcome to the ICM 2018 at Rio de Janeiro, Brazil, the first ICM ever held in the Southern Hemisphere The ICM is a quadrennial meeting, the single worldwide event covering the whole of mathematics, which is organized by the host country under the auspices of the International Mathematical Union (IMU). If you are overwhelmed or intimidated by this mammoth event, you will be pleasantly surprised to learn that the ICM is orchestrated by fellow mathematicians who are nonexperts in organizing meetings. To familiarize you with ICM 2018, let us browse through some of its highlights and how it has been prepared and organized during the last four years or so. Just before the previous ICM in 2014, the General Assembly of IMU elected the current Executive Committee (EC), which was the start for most of us. The members of the EC attended and experienced ICM 2014 especially in preparation for ICM 2018, and started their work in 2015. As my first task as IMU President, I asked Professor János Kollár to be Chair of the Program Committee (PC) and he accepted his role during ICM 2014. The whole PC, consisting of about 10 members, was selected and became complete shortly after the first meeting of the EC in 2015. The PC decided the structure of 19 Panels of the ICM, and furthermore all of the Panel committees, consisting of about 150 members, were formed by Spring 2016. Altogether they selected about 20 plenary speakers and about 180 invited speakers of the highest scientific level by Spring 2017, which form practically the whole academic content of ICM 2018. We were happy to find out that the speakers were from about 40 countries, which provides great evidence that the latest frontiers of research in mathematics are explored in diverse countries worldwide. When ICM 2018 opens, your attention will be drawn to prize winners. The Fields Medal and the Nevanlinna Prize are awarded to young mathematicians who have attained the highest results, which makes them unique among the most prestigious prizes worldwide. The Gauss Prize is awarded for mathematical research which has its foremost impact outside mathematics, and the Chern Medal is awarded for prominent lifetime achievement in mathematics. The latter prizes have no age restrictions. Nowadays the popularization of mathematics has attracted increasing public attention, and the Leelavati Prize awards the most outstanding contributions in this direction, again with no age restriction. The winners of these five prizes will be introduced at the opening and closing ceremonies of ICM 2018, and furthermore short videos will be presented, which are created under the patronage of the Simons Foundation. Besides these prizes, a woman with a top lifetime contribution to mathematics is invited to deliver the ICM Noether Lecture. The EC appointed six committees, which finally selected these prize winners and the lecturer by Spring 2018. The Organizing Committee (OC) led by Chair Marcelo Viana, though mentioned last, started their work in 2012 or even earlier and wisely took advantage of two events. The venue of ICM 2018, the Riocentro Convention Center in Barra da Tijuca, chosen by the OC, was one of the hubs for the 2016 Summer Olympic Games, and thus the area as well as it connections with city centers and the Airport has been very quickly developed and managed. The OC could declare that the Biennium of Mathematics 2017–2018 has successfully absorbed the public attention of the country since they succeeded to host the 2017 International Mathematical Olympiad at Rio as well as ICM 2018. The OC has launched the Open Arms program to offer travel grants to 550 mathematicians from developing countries to attend ICM 2018 under the support of the IMPA, the Brazillian Mathematical Society, and the IMU. The OC’s work over several years has culminated in ICM 2018 attracting thousands of participants. I should also mention that ICM 2018 is managed by many supporters and volunteers who have helped to bring the first ICM in the Southern Hemisphere to a great success. We very much hope that you will enjoy the ICM, its academic and social programs, and furthermore the beautiful touristic places Brazil can offer, including the Sugarloaf Mountain and Christ the Redeemer. Marcelo Viana Chairman of the Rio ICM 2018 Organizing Committee Managing Director, IMPA, Brazil E-mail: [email protected] Welcome Message from the Chairman of ICM 2018 Organizing Committee Dear Colleagues, On behalf of the ICM 2018 Organizing Committee, the Instituto de Matemática