Due to some logistic and budget constraints, the editorial board of the bulletin decided to publish this double issue instead of two distinct issues in 2017.

In this number of the bulletin we present three articles about recent developments in the areas of Analysis, Geometry and Mathematical Physics. We continue the cycle of historical articles honouring José Anastácio da Cunha and his work. We include an interview to Patrícia Gonçalves who won an ERC starting grant and, as usual, we publish several summaries and reports of some of the activities partially supported by CIM.

- 11th European Conference on Mathematical and Theoretical Biology (ECMTB 2018)
- Topics in Applied Analysis and Optimisation - CIM-WIAS Workshop

Quotients and coverings appear frequently in the construction of algebraic varieties. If a variety has some property that makes it a quotient or a covering of some simpler variety U, then one may try to construct starting from this simpler U. This method has proven to be very efficient in the construction of complex algebraic surfaces. This is a vast theme, here we do not intend to give a detailed survey on it. Our aim is to give a taste of the subject, for non- specialists, by presenting some examples, most of them re- lated to the work of the author.

The Workshop Dynamical Systems Applied to Biology and Natural Sciences–dsabns is a well established international scientific event that has been organized by the Biomathematics and Statistics group at Centro de Matemática, Aplicaçõees Fundamentais e Investigacção Operacional (cmaf-cio) from Lisbon University since 2010, every year during the month of February. The scientific program includes lectures by invited speakers, contributed talks and poster presentations, covering research topics in scientific areas such as population dynamics, eco-epidemiology, epidemiology of infectious diseases, molecular and antigenic evolution and methodical topics in the natural sciences and mathematics.

Étienne Ghys (born 29 December 1954) is a French mathematician recognised for his outstanding contributions in the fields of geometry and dynamical systems, as well as for his exceptional role in the dissemination of Mathematics.
Presently, he is a cnrs Directeur de Recherche at ens, Lyon. His impressive research has lead to many distinctions and awards, such as his elevation to the french Académie des Sciences in 2004, the title of Chevalier de la légion d’honneur in 2012, the invitations as a speaker at the icm of Kyoto, as a member of the program committee for the icm in Hyderabad, as a member of the Fields Medal committee in 2014 or the prize Prix Servant of the Académie des Sciences. He is an honorary member of several prestigious societies around the world and was distinguished as doctor honoris causa by the University of Geneva, in 2008. He has served as editor of several prestigious journals such as Annals of Mathematics and Publications Mathématiques de l’ihés.

For almost four decades, the canonical bases of certain quantum algebras have been at the core of representation theory. Historically, the first ones were the Kazhdan- Lusztig bases of Hecke algebras associated to Coxeter groups [8]. For lack of space in this review, we will mostly concentrate on these, although the canonical bases of quan- tum groups form another interesting class of examples

On October 11-14, 2017, a meeting on Axiomatic Thinking took place at the Academia das Ciências de Lisboa and the Faculdade de Ciência e Tecnologia da Universidade Nova de Lisboa. It was jointly organized by the Académie Internationale de Philosophie des Sciences and the Academia das Ciências de Lisboa, with support of CIM, SPM, FCT-MCTES,Nova.ID.FCT, TAP and the research centers CMA (FCT,UNL), CMAF-CIO (FC,UL) and CFCUL (FC,UL). The programme committee consisted of Fernando Ferreira (Lisbon), Gerhard Heinzmann (Nancy), and Reinhard Kahle (Lisbon).

Let us start with what was behind this interview, the millionaire starting grant you won from the European Research Council (ERC). Tell me a bit about the preparation of your application . . .

The application was a complex process and it was very difficult for me to finish it. During this time I went to India, where I spent two weeks. Before leaving, I went to the traveler’s medical consultation in Portugal, I did the malaria prevention, but three days after arriving back to Portugal, I picked up a very high fever whose cause no one could explain, my face was full of blest. I remember finishing the application, on the last day, which coincided with my son’s birthday, with a high fever.

This note is meant as a gentle introduction to nonlinear Fourier analysis. In particular, we highlight the parallel with the classical linear theory, describe some recent developments, and mention some open problems in the field.

The Centro Internacional de Matemática in partnership with the Science Museum of the University of Coimbra and the
Portuguese Mathematical Society with the support of the Center for Mathematics, Fundamental Applications and Operational Research of the University of Lisbon and the FCT Doctoral Program in Materialities of Literature of the Faculty of Arts and Humanities of the University of Coimbra, organized mathematics and literature II.

José Anastácio da Cunha is one of the few Portuguese mathematicians that can be said to have made significant contributions to the world of mathematics. He was born in Lisbon, in 1744. On his life see [Ferro, 1987]. Earlier in his youth (some sources mention the period 1760–1763) he was educated by the priests of the Oratorian Congregation. In 1764 he was appointed first lieutenant of the Company of Artillerymen of the Porto Artillery Regiment. Although the regiment is said to be from Porto, in fact it was sta- tioned at Valença, where it remained during the time da Cunha was a member. The majority of the officers of the regiment were foreigners, many from protestant countries, and so da Cunha contacted authors, ideas and books that normally a Portuguese officer of that time would not have access. While in this Regiment, he wrote the Essay on the Mines (Ensaio sobre as Minas”) [da Cunha, 1994], which is said to have been decisive for the Marquis of Pombal noticing him, and also, in 1769, the Physical-Mathematical Letter, on the Theory of Powder in general, etc (Carta Fisico-Mathematica, sobre a Theorica da Polvora em Geral, etc). None was published during his lifetime.

The 119th European Study Group with Industry-esgi119 was held at Porto Design Factory, from June 27th to July 1st, 2016, organized by estgf, eseig, and ciicesi-Center for Research and Innovation in Business Sciences and Informations Systems of the Polytechnic of Porto.