2019

## Geometric Aspects of Model Theory (with Boris Zilber)

The course will take place on Mondays, from 3:30pm to 5pm in room C6.2.33 of Faculdade de Ciências da Universidade de Lisboa. The first session is in October 14.

## Particle Systems and PDE's VIII

Organizing Committee

Cédric Bernardin (University of Nice)

Maria Conceição Carvalho (CMAF-CIO, University of Lisbon)

Patrícia Gonçalves (CAMGSD, University of Lisbon)

Stefano Scotta (CAMGSD, University of Lisbon)

Ana Jacinta Soares (CMAT, University of Minho)

## International Workshop on Differential Equations: On the Occasion of Luis Sanchez’s 70th Birthday

We are very pleased to announce the celebration in honor of Luis Sanchez, on the occasion of his 70th birthday.

This celebration, presented as an International Workshop on Differential Equations, counts with distinguished Plenary Speakers who have had an emblematic importance in Sanchez scientific activity, at national and international level, and are, moreover, representative of  the proficuous, fruitful and friendly research environment from which many generations have benefited.

We would like to invite all for this celebration.

It is an opportunity to bring together mathematicians, colleagues and friends, promoting the exchange of ideas and attracting young researchers to the field of Differential Equations.

## Workshop Nonlinear PDEs in Braga

7-9 June 2019, Braga

The study of PDEs is one of the major subjects in mathematics nowadays and their usage spreads from abstract to applied mathematics. This workshop will be devoted to the analysis of various types of nonlinear PDEs (elliptic, parabolic, hyperbolic, dispersive, etc.) and applications. The event will take place from 7 to 9 of June 2019, in the Edifício dos Congregados, located in the centre of the beautiful and historical city of Braga, Portugal. This event is hosted by the University of Minho, in a collaboration between research centers from Braga, Coimbra and Lisbon. ;

Organizers:

Dmitry Vorotnikov

Fernando Miranda

Lisa Santos

Hugo Tavares (CMAFcIO)

## Algebraic Analysis and Geometry with a view on Higgs bundles and D-modules

3-7 June 2019, Porto

## LxDS Spring School 2019

3-day spring school (29th to 31st May) on dynamical systems to be held at Faculdade de Ciências/ULisboa.

The school will consist of three mini-courses in specific areas of dynamical systems lectured by specialists of recognized international merit.

## CIM COLLOQUIUM 2019

The CIM Colloquium is a Mathematical Sciences event taking place before the annual council of the CIM Associates. This year the lecture on “A stochastic approach to (deterministic) Hydrodynamics” will be given by Ana Bela Cruzeiro, from the University of Lisbon, the 5th April at the Instituto Superior Técnico/ULisboa.

## Workshop "Advances and Challenges in Nonlinear Elliptic Systems"

7-8 February 2019, at RISM Institute, Varese (Italy)

Organizers:

Danielle Cassani

Hugo Tavares (CMAFcIO)

Jianjun Zhang

## 8th Winter School on Network Optimization

The 8th edition of the Winter School on Network Optimization will take place at Hotel Estoril Éden,   Estoril from the 14th  to the 18th of January 2019. Its main objective is to provide an opportunity for PhD students to get together and attend high level courses in the field of Network Optimization. Non-PhD students are welcome to attend the school, but the number of participants is limited and priority will be given to PhD students.

2018

## 2018 PEDRO NUNES LECTURE

Taking Mathematics to Heart

Alfio Quarteroni (Politecnico di Milano, Italia)

Abstract: Mathematical models describe the interaction between electrical, mechanical and fluid-dynamical processes occuring in the heart. This classical multi-physics problem featuring multi-scale solutions in space and time require appropriate numerical strategies for accurate and computationally effective simulations of these processes in both physiological and pathological regimes. This presentation includes also a few representative applicatons of clinical interest.

The Pedro Nunes Lectures are a joint iniciative of the Centro International de Matemática and of the Sociedade Portuguesa de Matemática. This Lecture has the support of CMAFcIO (Ciências, ULisboa), CEMAT (IST, ULisboa) and the Academia de Ciências de Lisboa.

## Workshop on Mathematics & Wild Fires

### 8-9 November 2018, at Departamento de Matemática da Faculdade de Ciências da Universidade de Coimbra

Program

November 8

15:00-15:45 Alberto Bressan (Penn State University, USA), Dynamic blocking problems for a model of fire confinement

16:00-16:45 Steen Markvorsen (Technical University of Denmark, Denmark),  A Finsler geometric paradigm for wildfire spread modelling

16:45-17:15 Coffe Break

17:15-18:00 Gianni Pagnini (Basque Center for Applied Mathematics, Spain), Fire-spotting modelling for regional-scale wildfire simulators: a case study with WRF-Sfire

November 9

9:30-10:15 Wenceslao Manteiga (Universidad de Santiago de Compostela, Spain), Using statistics and optimization techniques to fight against wildfires in Galicia

10:30-11:15 Maria Antónia Turkman (Universidade de Lisboa, Portugal), Statistical methods towards the construction of decision tools to assist wildfire management

11:15-11:45 Coffe Break

11:45-12:30 Dominique Morvan (Aix-Marseille Université, France), Wildfires physics and modelling

12:30-14:30 Lunch

14:30-15:15 Mélanie Rochoux (CECI, CNRS-CERFACS, France), Overview and challenges of data-driven wildland fire spread modeling

15:30-16:15 Final Session: Challenges, Open Problems, Scientific Interaction

16:15 Coffe Break

In 2017,  Portugal, mainly the center of Portugal,  where the city of Coimbra is localised, was devastated by terrible wild fires. This tragedy has affected all the Portuguese society  that is now extremely  engaged in avoiding future similar and dramatic events.

Mathematics can play a significant role  in  predicting  fire behaviour and spread, as well as, in defining suitable strategies to prevent and combat fires. Since the main activities of CIM include sponsoring events, and  organising lectures for the Mathematical  community,  this Workshop on Mathematics & Wild Fires is an event of the utmost importance in Portugal.

This Workshop on Mathematics & Wild Fires is also  a satellite event of the  VIII International Conference on FOREST FIRE RESEARCH
(Coimbra, Portugal, 10-16 November 2018).

We invite all researchers interested in Mathematics and Wild Fires to participate in this workshop organised by CIM in cooperation with CMUC (Centre for Mathematics of the University of Coimbra)
CMAFcIO (Center for Mathematics, Fundamental Applications and Operations Research) and APMTAC (Portuguese Association of Theoretical, Applied and Computational Mechanics).

Organising Committee:

Isabel Narra de Figueiredo (CIM and CMUC/University of Coimbra) - Chair

José Francisco Rodrigues (CMAFcIO/University of Lisbon and CIM)

José Augusto Ferreira (APMTAC and CMUC/University of  Coimbra)

Domingos Xavier Viegas (ADAI and University of Coimbra)

## Topics in Nonlinear Analysis: Calculus of Variations and PDEs

### 10-12 October 2018, at Faculdade de Ciências da Universidade de Lisboa

Organizers

• Marco Caroccia (CMAFcIO)
• Riccardo Scala (CMAFcIO)
• Hugo Tavares (CMAFcIO)
• Nicolas van Goethem (CMAFcIO)

## Workshop on PDE's, Control Theory and Related Topics

20-23 September 2018, at Inatel da Foz do Arelho, Portugal

Organization:

• Gilles Lebeau
• Oana Ivanovici
• Pedro Freitas
• Teresa Monteiro Fernandes (CMAFcIO)

## ECMTB 2018 "Celebrating the Year of Mathematical Biology 2018"

Organization:

• Maíra Aguiar (Conference Chair), CMA FCT | Universidade Nova de Lisboa & CMAFCIO | Universidade de Lisboa
• Carlos Braumann (Conference Chair), CIMA | Universidade de Évora
• Nico Stollenwerk (Conference Chair), CMAFCIO | Universidade de Lisboa
• Fabio Chalub, CMA FCT | Universidade Nova de Lisboa
• Lisete Sousa, CEAUL FCUL | Universidade de Lisboa
• Paulo Doutor, CMA FCT | Universidade Nova de Lisboa
• Patrícia Filipe, CIMA | Universidade de Évora
• Erida Gjini, Instituto Gulbenkian de Ciência
• Luís Mateus, CMAFCIO | Universidade de Lisboa
• Paula Patrício, CMA FCT | Universidade Nova de Lisboa
• Luís Sanchez Rodrigues, CMAFCIO | Universidade de Lisboa
• Raquel Filipe CMAFCIO | Universidade de Lisboa

## ICM 2018 Satellite Conference on Nonlinear Partial Differential Equations

23 - 27 July 2018, at Hotel Mareiro, Fortaleza - Brazil

This is a satellite conference of the international Congress of Mathematicians, and is intended to promote the interaction of several groups working on nonlinear partial differential equations throughout the world. The main goals of our meeting are to understand recent developments, as well to promote contacts and collaborations between the participants and contribute to create new open questions and problems in the field.

Organization: Denis Bonheure (ULB), Ederson dos Santos and Sérgio Soares (ICMC-USP), Hugo Tavares (CMAFCIO)

## Mini-Workshop on eXtraOrdinary Differential Equations (Working on some recent trends)

28-30 March 2018, at Inatel da Foz do Arelho

Organizers: Alessandro Margheri & Carlota Rebelo

This event gathers a small group of researchers in ODEs to discuss some recent trends.The main objective is to develop joint research projects. Students interested in the morning expository sessions are welcome.

## Algebraic and Analytic Aspects of Power Series

26 - 21 January, 2018, at Faculdade de Ciências, Universidade de Lisboa, room 6.2.33.

## 7th edition of the Winter School on Network Optimization

The 7th edition of the Winter School on Network Optimization will take place at Hotel Estoril Éden,   Estoril from the 15th  to the 19th of January 2018. Its main objective is to provide an opportunity for PhD students to get together and attend high level courses in the field of Network Optimization. Non-PhD students are welcome to attend the school, but the number of participants is limited and priority will be given to PhD students.

2017

## CIM-WIAS Workshop

6 – 8 December 2017, at Faculdade de Ciências, Universidade de Lisboa

### (Stochastic, Partial Differential Equations and Numerical Analysis)

[Event description segment on detached page along with the list of abstracts.]

## Conference

November 2 — 15h00, at Academia das Ciências de Lisboa [⤴]

### A brief history of Geometry — «From Euclid to Perelman via Descartes, Gauss, Riemann, Ricci, Poincaré and Einstein»

Jean-Pierre Bourguignon (IHES, France and Academia das Ciências de Lisboa)

## Optimization 2017

6 – 8 September 2017, at Faculdade de Ciências, Universidade de Lisboa

Plenary Speakers: Immanuel Bomze (Universität Wien), Marco Campi (Università degli Studi di Brescia), Donald Goldfarb (Columbia University), Jacek Gondzio (University of Edinburgh), ​Martine Labbé (Université Libre de Bruxelles), Giovanni Rinaldi (IASI Roma, CNR)

## Mathematical approaches to complex systems: Statistical mechanics and partial differential equations

6 – 7 July 2017, at Faculdade de Ciências da Universidade de Lisboa, room 6.2.33 [⤴]

Na sequência da workshop da Arrábida com o mesmo nome, haverá uma extensão de dois dias, dedicada a estudantes e público em geral, em que os mesmos temas serão tratados de modo acessível e pedagógico.

#### 5ª-feira, 6 de Julho de 2017

10:00 – 11:00 • M. LOSS (Georgia Tech, USA)
The Kac master equation: Propagation of chaos, derivation of Boltzmann equation and approach to equilibrium
11:30 – 12:30 • M. PULVIRENTI (Univ. of Rome la Sapienza, Italy)
The mechanism of chaos for classical particle systems: Propagation in time of statistical independence, scaling limits and kinetic equations (Vlasov, Boltzmann, Landau)
14:30 – 15:30 • M. INFUSINO (Univ. Konstanz, Germany)
To be announced
15:30 – 17:30 • Workshop discussions

#### 6ª-feira, 7 de Julho de 2017

10:00 – 11:00 • E. CARLEN (Rutgers University, USA)
Introduction to operator inequalities, non-commutative probability and quantum statistical mechanics
11:30 – 12:30 • R. ESPOSITO (Univ. of Rome Tor Vergata, Italy)
Hydrodynamic limit of steady non equilibrium solutions to the Boltzmann equation
14:30 – 17:30 • Workshop discussions

Comissão Organizadora: E. Carlen, M. C. Carvalho, J. L. Vasquez e R. Vilela Mendes

## Workshop Day on Biomathematics

March 31st, 2017 | Faculty of Sciences | University of Lisbon

From 3 p.m. until 6 p.m. | Room 6.2.33 | Building C6

In preparation for the ECMTB 2018 and the Year of the Mathematical Biology, we invite for a workshop day on Biomathematics to take place in FCUL, University of Lisbon on March 31st, 2017.

Invited Speakers

15:00–15:30 Maíra Aguiar, (CMA FCT) NOVA University of Lisbon | (CMAFCIO FCUL) Lisbon University, "The impact of the newly licensed dengue vaccine in endemic countries"

15:30–16:00 Fabio Chalub, (CMA FCT) NOVA University of Lisbon, "Regularity and time-inhomogeneity in the Wright-Fisher dynamics"

16:00–16:30 Mats Gyllenberg, University of Helsinki, "Invasion into dimorphic populations under Atkinson-Allen dynamics"

16:30–17:00 Anna Marciniak-Czochra, (IWR) University of Heidelberg, "Mathematical modeling of heterogeneity and clonal selection in acute leukemias"

17:00–17:30 Luigi Preziosi, Politecnico di Torino, "An overview of mathematical models for cell migratio"

17:30–18:00 Nico Stollenwerk, (CMAFCIO FCUL) Lisbon University, "Chaos via Torus destruction in models of Dengue Fever and predator-prey systems, implications for data analysis"

Event partially funded by the Portuguese Mathematical Society [⤴].

## 8th International Network Optimization Conference (INOC 2017)

26 – 28 February 2017, in Lisboa - Portugal

Keynote Speakers: William Cook (University of Waterloo), Alexander Martin (University of Erlangen-Nürnberg), Rolf H. Möhring (Technical University of Berlin), Alexander Schrijver (University of Amsterdam)

## Workshop “Long-range Coupled Polymers: Analysis and Simulation”

5 – 11 February 2017, at Academia das Ciências de Lisboa - Portugal

Wolfgang Bock (Technical University Kaiserslautern), Jinky Bornales (Mindanao State University), Samuel Eleutério (University of Lisbon), Torben Fattler (Technical University Kaiserslautern), Satoru Itoh (Institute for Molecular Sciences, Okazaki), Hisashi Okumura (Institute for Molecular Sciences, Okazaki), Maria João Oliveira (Universidade Aberta), Ludwig Streit (ACL, Portugal and University of Bielefeld), Herry P. Suryawan (University of Zurich), Rui Vilela Mendes (Academia das Ciências de Lisboa), Elmar Westphal (Forschungszentrum Jülich)*, Roland Winkler (Forschungszentrum Jülich) * To be confirmed

The Organizing Committee: W. Bock, M. J. Oliveira, L. Streit, R. Vilela Mendes

in memoriam Jean-Pierre Contzen

3 February 2017, at Academia das Ciências de Lisboa - Portugal

MANHÃ
9:00 – 9:15 Abertura: Presidente da ACL
8:15 – 10:45 Testemunhos sobre J. P. Contzen
• Hervé Hasquin, Secretário Perpétuo, ARB
• Arantes e Oliveira, ACL
10:45 – 11:00 Intervalo
• Moderador: R. Vilela Mendes, ACL
11:00 – 12:00 Ludwig Streit, “Complexity, globalization, acceleration and what about democracy?
12:00 – 12:30 Jorge Braga de Macedo, “Discussão e comentários
12:30 – 13:00 Discussão geral aberta à assistência

ALMOÇO 13:00 – 14:30

TARDE: Dedicada ao tema da biodiversidade e cooperação com os países em vias de desenvolvimento
14:30 – 16:00
• Dominic Moran, “Valuing biodiversity: a brief history
• Nuno Ferrand, ACL, "Discussão e comentários"
16:00 – 16:45 Painel "Science and business for development"
16:45 Encerramento, Ministro da Ciência, Tecnologia e Ensino Superior

## 8th Workshop Dynamical Systems Applied to Biology and Natural Sciences

31 January – 3 February 2017, at Universidade de Évora - Portugal

Plenary Talks: Maíra Aguiar (Lisbon University), Malay Banerjee (Indian Institute of Technology), Konstantin Blyuss (Universty of Sussex), Julyan Cartwright (Universidad de Granada), Bernard Cazelles (Ecole Normale Supérieure - UMMISCO - CNRS), Laurent Coudeville (Sanofi Pasteur), Ulrike Feudel (Universität Oldenburg), Istvan Kiss (Universty of Sussex), Bob W. Kooi (Free University of Amsterdam), Mats Gyllenberg (University of Helsinki)

## 6th Winter School on Network Optimization

16 – 20 January 2017, in Estoril - Portugal

Lecturers: Ángel Corberán (Univ. Valencia), Arie Koster (RWTH Aachen Univ.), Gerhard Reinelt (Univ. Heidelberg), Giovanni Rinaldi (IASI), José Valério de Carvalho (Univ. Minho)

2016

## COLLOQUIUM: The Legacy of Claude Shannon

13 December 2016, 16:00, at Instituto Superior Técnico, Universidade de Lisboa

Minicourse

An introduction to impredicative ordinal notation systems

DAVID FERNÁNDEZ-DUQUE

UNIVERSITÉ PAUL SABATIER (Toulouse)

First session: November 2 (Wednesday), 6pm - 7:30pm, room 6.2.33

Second session: November 3 (Thursday), 3:30pm - 5pm, room 6.2.33

In this course we will give an introduction to ordinal notation systems based on collapsing cardinals in the style of Buchholz. Although familiarity with proof-theoretic ordinals is assumed, the course will work gradually, beginning with a quick review of predicative notation systems and introducing some intermediate systems along the way. The course will be divided in two sessions. Session 1: We introduce a general notion of ordinal notation system and show how the usual presentations for $\varepsilon_0$ and $\Gamma_0$ fall into this framework. We discuss the behavior of an uncountable ordinal within a notation system and introduce collapsing functions, culminating in a notation system for the Bachmann-Howard ordinal $\psi(\varepsilon_{\Omega+1})$. Session 2: We establish some important properties of $\psi(\varepsilon_{\Omega+1})$, including its computability. We motivate the role of multiple cardinals by considering collapsing functions with two uncountable cardinals. We then show how these techniques are extended to collapsing infinitely many cardinals. Time permitting, we discuss how larger sets (e.g., an inaccessible) can be used to construct even larger proof-theoretic ordinals.

## E=MC3 2016, a Spring-to-Summer event: three mini courses on Dynamics and Differential Equations

Alessandra Celletti, March 29-30; Fabio Zanolin, July 11-15; Mark Levi, Sept 5-9

## FASPDE16 – Lisbon

FCUL, Lisbon, 31 Aug-2 Sept 21 2016

## 7th International Conference on Computational Logistics (ICCL’16)

September 7-9, 2016 in Lisbon, Portugal

## Journées sur les Arithmétiques Faibles (Weak Arithmetics Days)

FCUL, Lisbon, 6-7 June 2016

H-mesures and variants

A short course by Nenad Antonic, April 18-21-22, 15:00-17:00.

Weak convergences are the foundations of most successful methods in the investigation of partial differential equations today.  The approach known as <em>Tartar's programme</em> [15] proved particularly convenient for partial differential equations modelling physical laws; the basic assumption being that weak convergences of sequences of solutions model the transition from microscale to macroscale. We are particularly interested in mathematical objects being, in a generalised sense, accumulation points of weakly convergent sequences, such as defect measures or H-measures. H-measures are a microlocal analysis tool which has successfully been applied in a variety of applied analysis problems: in small amplitude homogenisation [16], in the theory of microstructure (problems with two or more potential wells) [10], in the study of propagation of oscillations and microlocal energy [17, 1], in controllability of partial differential equations [8], etc. The original H-measures are suited for the treatment of hyperbolic problems. Recently, different variants of the concept have been introduced, first allowing extension of the results to parabolic type problems [3, 5, 14], and later to problems of more general type.
Another successful application of H-measures is in the velocity averaging theory, as they enable generalisation of results obtained for constant coefficients (the homogeneous setting) to variable ones (the heterogeneous setting). First results of this kind are found in [9] for hyperbolic problems, while recent development of variant H-measures enabled generalisations to problems of various types [12], including other linear and even fractional differential equations. The notion of H-measures is given in the L2 framework, and the above results are constrained to solutions bounded in Lp, p>=2. By developping and applying appropriate tools, namely H-distributions [6], applications outside the L2 framework are also possible. Quite often, the nature of the problem requires a particular variant to be developed, prompting further research in constructing new objects.
[1] N. Antonic: H-measures applied to symmetric systems, Proc. Roy. Soc. Edinburgh Sect. A 126 (1996) 6, 1133-1155
[2] N. Antonic, M. Lazar: A parabolic variant of H-measures, Ann. Univ. Ferrara Sez. VII Sci. Marc. 54 (2008) 2, 183-201
[3] N. Antonic, M. Lazar: H-measures and  variants applied to parabolic equations, J.Math. Anal. Appl. 343 (2008) 1, 207-225
[4] N. Antonic, M. Lazar: Parabolic variant of H-measures in homogenization of a model problem based on Navier-Stokes equation, Nonlinear Anal. Real World Appl. 11 (2010) 6, 4500-4512
[5] N. Antonic, M. Lazar: Parabolic H-measures, J. Funct. Anal. 265 (2013) 7, 1190-1239
[6] N. Antonic, D. Mitrovic: H-distributions - an extension of H-measures to an Lp-Lq setting, Abstr. Appl. Anal. 2011 (2011), article ID 901084, 12 pages
[7] N. Antonic, M. Vrdoliak: Parabolic H-convergence and small amplitude homogenization, Appl. Anal. 88 (2009) 10-11, 1493-1508
[8] N. Burq, P. Gérard: Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes, C. R. Math. Acad. Sci. Paris, Série I, 325 (1997) 749-752
[9] P. Gérard: Microlocal defect measures, Comm. Partial Differential Equations 16 (1991) 1761-1794
[10] R. V. Kohn: The relaxation of a double-well energy, Contin. Mech. Thermodyn. 3 (1991) 193-236
[11] M. Lazar, D. Mitrovic: The velocity averaging for a heterogeneous heat type equation, Math. Commun. 16 (2011), 271-282
[12] M. Lazar, D. Mitrovic: Velocity averaging - a general framework, Dyn.Partial Differ. Equ. 9 (2012), 239-260
[13] M. Lazar, D. Mitrovic: On an extension of a bilinear functional on Lp(Rd) x E to a Bochner space with an application to velocity averaging, C. R. Math. Acad. Sci. Paris 351 (2013) 261-264
[14] E. Yu. Panov: Ultra-parabolic equations with rough coefficients. Entropy solutions and strong precompactness property, J. Math. Sci. (N. Y.) 159 (2009), 180-228
[15] L. Tartar: Compensated compactness and applications to partial differential equations, Non-linear Analysis and Mechanics: Heriott-Watt symposium, Vol IV, Res. Notes in Math. 39, Pitman, Boston, 1979, 136-212
[16] L. Tartar: H-measures and small amplitude homogenization, Random Media and Composites, R.V. Kohn & G.W. Milton eds, 89-99, SIAM, Philadelphia, 1989
[17] L. Tartar: H-measures, a new approach for studying homogenisation, oscillation and concentration effects in PDEs, Proc. Roy. Soc. Edinburgh Sect. A 115:3-4 (1990) 193-230
[18] L. Tartar: Oscillations and concentration effects in partial differential equations: why waves may behave like particles. XVII CEDYA: Congress on Differential Equations and Applications/VII CMA: Congress of Applied Mathematics (Spanish) (Salamanca, 2001), 179-219, Dep. Mat. Apl., Univ. Salamanca, Salamanca, 2001.
[19] L. Tartar: The general theory of homogenization, Springer, 2009

Introduction to the algebraic theory of linear systems of differential equations

A short course on D-Modules

Luca Prelli (CMAFCIO)

(March 17 and 22, April 5 and 7

## Seventh Workshop DSABNS

(Dynamical Systems Applied to Biology and Natural Sciences)

2-5 February 2016, Universidade de Évora

## 5th Winter School on Network Optimization

11-15 January 2016, Hotel Sana, Estoril

2015

## 6th Workshop Dynamical Systems Applied to Biology and Natural Sciences DSABNS

4-6 February 2015, Centro de Matemática e Aplicações Fundamentais, Lisbon University

## 4th Winter School on Network Optimization

12-16 Januray 2915, Estoril, Portugal