PACOM 2021

“Mathematics and the challenges of the African development.”

02-07 August 2021 - Brazzaville (Congo)

Welcome Adresses


Honorable Minister of Higher Education of the Republic of Congo

Bruno Jean Richard ITOUA

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AMU President, Chair, International Organizing Committee of PACOM 2021.

Prof. Nouzha EL YACOUBI

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AMU Vice- President for Central Africa, Chair, Local Organizing Committee

Prof. Basile Guy Richard BOSSOTO

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Program


PLENARY LECTURERS and Biographies


Prof. Maria Esteban

Prof. Maria Esteban

CEREMADE (CENTRE DE RECHERCHE EN MATHÉMATIQUES DE LA DÉCISION. Past ICIAM President. FRANCE

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Prof. Christophe Ritzenthaler

Prof. Christophe Ritzenthaler

Next Executive Director of CIMPA from September 1, 2020.

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Prof. JongHae Keum

Prof. JongHae Keum

President of Korean Mathematical Society, School of Mathematics, Korea Institute for Advanced Studies (KIAS), SOUTH KOREA

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Prof. Patrick Guge Oloo Weke

Prof. Patrick Guge Oloo Weke

Director, School of Mathematics, University of Nairobi, KENYA. (Representing East Africa )

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Prof. Piermarco Cannarsa

Prof. Piermarco Cannarsa

President, Italian Mathematical Union.University of Rome “Tor Vergata”. ITALY

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Prof. Mahmoud Abdel-Aty

Prof. Mahmoud Abdel-Aty

Vice President African Sciences (AAS). Mathematics Department, Faculty of Science, Sohag University, EGYPT. (Representing North Africa)

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Prof. Volker Mehrmann

Prof. Volker Mehrmann

President of European Mathematical Society (EMS), Institute for Mathematics, Technical University of Berlin, Germany

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Dipendra Prasad

Dipendra Prasad

President of IMU CDC, School of Mathematics, Tata Institute of Fundamental Research, Colaba, Mumbai, INDIA

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Prof. Jon Keating

Prof. Jon Keating

President of the London Mathematical Society, University of Oxford , UK.

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Prof. Dr. José Antonio de la Peña

Prof. Dr. José Antonio de la Peña

President of the Mexican Academy of Sciences and head researcher at the Institute of Mathematics at the National Autonomous University of Mexico Institute of Mathematics, UNAM, Mexico.

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Prof Mary Teuw Niane

Prof Mary Teuw Niane

Former Minister of Higher Education, Research and Innovation of Senegal, University Gaston Berger, Saint Louis, Senegal (Representing West Africa)

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Prof. Jose Maria Balmaceda

Prof. Jose Maria Balmaceda

Former President of the Southeast Asian Mathematical Society in 2018-2019. Institute of Mathematics, University of the Philippines Diliman. Philippines.

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Titles and Abstracts of the Plenary lecturers


Prof. Daya Reddy

President International Science Council (ISC) . Department of Maths and Applied Maths , UCT, University of Cape Town,  South Africa.  (For the Inaugural Plenary Lecture)

Title: “Modelling, analysis and computation in mechanics”.
Abstract:
Problems in the mechanics of continuous media typically take the form mathematically of systems of partial differential equations, inequalities, or as variational problems. Studies of the well-posedness of such problems provide valuable insights into the range of validity of parameters describing material behaviour, and of the models themselves. The development of approximate solutions and accompanying numerical simulations are an essential component of investigations, given the intractability of all but the simplest cases. This
presentation will provide an overview of some problems in linear and nonlinear solid mechanics of recent and current interest. Key results will be presented on well-posedness, the development of algorithms for numerical approximations, and the determination of conditions for convergence of such approximations.

Prof. Hans Munthe-Kaas

President of the  Norwegian Mathematical Society & President of the Scientific Committee of CIMPA, Insititute of Mathematics, Bergen, NORWAY
Title: On structure preservation in computational dynamics
Abstract:
 In the design of numerical algorithms for integrating dynamic differential equations, the role of structure preserving- and geometric exact integration algorithms has become increasingly recognised in recent years. Whereas the conventional goal was to design stable algorithms with minimal error, the modern wisdom is that some errors are better than others. “Geometric integration is the art of erring in the right way.” Exactness in the discretisation of certain geometric structures plays a crucial role in many simulations. A focus on differential geometry, symmetries and Lie group techniques in computational mathematics has lead close collaborations between areas of pure and applied mathematics, which is leading to significant new developments in algebra, differential geometry and computational algorithms.

Prof. Volker Mehrmann

President of European Mathematical Society (EMS), Institute for Mathematics, Technical University of Berlin, Germany
Title: "Hierarchical energy based modeling, simulation and control of multi-physics systems." 

Author: Volker Mehrmann 


Abstract:
The next level of digitization will create digital twins of every product or process. To do this in a mathematical rigorous and risk and error controlled way, a new modeling, simulation and optimization paradigm is needed. While automated modularized modeling is common in some domains like circuit design or multi-body dynamics, it becomes increasingly challenging when systems from different physical domains are coupled, due to largely different scales or modeling accuracy, and very different software technologies.A recent system theoretic approach to address these challenges is the use of network based energy based modeling via constrained port-Hamiltonian (pH) systems, where the coupling is done in a physically meaningful way via energy variables. Furthermore, for each subsystem a whole model hierarchy is employed ranging from very fine grane models to highly reduced surrogate models arising from model reduction or data based modeling. The model hierarchy allows adaptivity not only in the discretization but also in the model selection.We will present an overview over the hierarchical pH modeling approach and illustrate the advantages: Very robust models which are close to the real physics, invariance of the structure under Galerkin projection discretization or model reduction as well as state and time dependent coordinate changes. The results are illustrated with numerical results at the hand of energy transport networks (gas and district heating).

Prof. Gang Tian

President, Chineese Mathematical Society, School of Mathematical Sciences, (IMU Executive Committee member). University, Beijing, P.R.China, 100871. CHINA.
Title: "Geometric flows and applications"
Abstract:
To be announced soon

Prof. Paolo Piccioni

President Brazilian Mathematical Society, (IMU Executive Committee member), University of Sao Paulo, BRAZIL
Abstract:
To be announced soon

Prof. Dipendra Prasad

President of IMU CDC, School of Mathematics, Tata Institute of Fundamental Research, Colaba, Mumbai, INDIA
Title: "Multiplicities for tensor product on special linear groups versus classical groups."
Abstract:
We discuss the known natural bijective correspondence between irreducible (algebraic) selfd-ual representations of the special linear group with those of classical groups, and then discuss how this correspondence relates to tensor product of representations.

Prof. JongHae Keum

President of Korean Mathematical Society, School of Mathematics, Korea Institute for Advanced Studies (KIAS),  SOUTH KOREA
Title: "Algebraic Surfaces : their geomety and topology"
Abstract:
To be announced soon

Prof. Jon Keating

President of the London Mathematical Society, University of Oxford , UK.
Title: "Joint Moments of Characteristic Polynomials of Random Unitary Matrices"
Abstract:
I will review what is known and not known about the joint moments of the characteristic polynomials of random unitary matrices and their derivatives. I will then explain some recent results which relate the joint moments to an interesting class of measures, known as Hua-Pickrell measures. This leads to the proof of a conjecture, due to Chris Hughes in 2000, concerning the asymptotics of the joint moments, as well as establishing a connection between the measures in question and one of the Painlevé equations.

Prof. Eero Saksman

President, Finnish Mathematical Society. Department of  Mathematics and Statistics, University of  Helsinki, FINLAND
Title: 'Multiplicative chaos and its many connections'
Abstract:
I will explain the notion 'Gaussian multiplicative chaos' and describe its many connections inclöuding statistical physics models and Riemann zeta function'.

Prof. Piermarco Cannarsa

President, Italian Mathematical Union.University of Rome “Tor Vergata”.  ITALY
Title: "First order mean field games with state constraints."
Abstract:
The theory of Mean Field Games (MFG) has been developed in the last two decades by economists, engineers, and mathematicians in order to study decision making in very large populations of “small" interacting agents. The approach by Lasry and Lions leads to a system of nonlinear partial differential equations, the solution of which can be used to approximate the limit of an N-player Nash equilibrium as N tends to infinity. This talk will mainly be focused on deterministic models, which are associated with a first order pde system. When agents are subject to state constraints, as is often the case in reality, the analysis becomes particularly challenging because classical pde techniques are of little help. Indeed, the existence of solutions will be obtained by the so-called Lagrangian approach, which interprets equilibria as certain measures on the space of paths that each agent can choose. Then, we will address regularity issues for such generalized solutions, deriving point-wise properties that allow to recover the typical MFG system. Finally, we will study the asymptotic behaviour of solutions to the constrained MFG system as time goes to infinity, borrowing ideas from weak KAM theory.

Prof. Dr. José Antonio de la Peña

President of the Mexican Academy of Sciences and head researcher at the Institute of Mathematics at the National Autonomous University of Mexico Institute of Mathematics, UNAM, Mexico.
Abstract:
To be announced soon

Prof. Christophe Ritzenthaler

Next Executive Director of  CIMPA from September 1, 2020.
Title: "Rational points on curves over finite fields" 
Abstract:
In 1985, Jean-Pierre Serre gave a series of lectures at Harvard university on rational points on curves over finite fields. As Serre himself phrased it, his purpose was to see, after more than a century of general theorems in algebraic geometry, how much could be said in a very concrete case, here the maximal number of rational points on a curve of genus $g$ over a finite field. More than 30 years later, the question is still widely open. I will present an overview of the topic, with a special focus on $g=3$. We will see, how solving such an apparently innocent question involves a variety of tools from arithmetic to analysis and heavy experiments with computational algebra systems.

Prof. Maria J. Esteban

CEREMADE (CENTRE DE RECHERCHE EN MATHÉMATIQUES DE LA DÉCISION. Past ICIAM President.  FRANCE
Title: Symmetry, symmetry breaking for nonlinear PDEs and nonlinear flows
Abstract:
In this talk I will address various examples of nonlinear elliptic PDEs related to the optimal functions for some functional inequalities where the use of well-adapted nonlinear flows can, or cannot, help us understand the symmetry and other qualitative properties of the solutions. This is a transversal topic which has connections in analysis and PDEs, but also in global analysis, differential geometry and mathematical physics.

Prof. Guido Dephilippis

International School for Advanced Studies SISSA, Via Bonomea, 265 34136 Trieste, ITALY
Title: "Regularity of the free boundary for the two-phase Bernoulli problem."
Abstract:

I will brielfy introduce some free boundaries. problems and their applications. Then I will review some of the known regularity results. Eventually I will illustrate  a recent result obtained in collaboration with  L. Spolaor and B. Velichkov  concerning the regularity of the free boundaries in the two phase Bernoulli problems. The new main point is the analysis of the free boundary close to branch points, where we show that it is given by the union of two C^1 graphs. This complete the analysis started by Alt Caffarelli Friedman in the 80’s.

Prof. Giulia Di Nunno

Department of Mathematics, University of Oslo, NORWEY
Title: On sandwiched stochastic differential equations driven by Volterra noises
Abstract:
We study a stochastic differential equation with an unbounded drift and general Hölder continuous noise of an arbitrary order. We give examples of such Volterra noises and criterion for Hölder continuity. The corresponding equation turns out to have a unique solution that, depending on a particular shape of the drift, either stays above some continuous function or has continuous upper and lower bounds, i.e. lies in a sandwich. Our study is motivated by rough volatility in financial modelling and we give some examples in this setting. Some numerical illustrations are also provided.

Prof. José-Maria P. Balmaceda

Former President of the Southeast Asian Mathematical Society in 2018-2019. Institute of Mathematics, University of the Philippines Diliman. Philippines.
Abstract:
To be announced soon

Prof. Maria Eulália Vares

Institute of Matemetics. Federal University, Rio de Janeiro –  BRAZIL
Title : "Metastability for stochastic dynamics"
Abstract:
As an interesting and rather common phenomenon in nature, metastability has been studied from multiple viewpoints, with different goals and a big variety of tools. Its modeling has been object of many mathematical studies. In this lecture, I plan to start by revisiting some aspects of the metastable behavior in the frame of stochastic dynamics. Through a class of concrete (but somehow generic) examples, I hope to discuss some of the basic motivations and to review a small fraction of the related mathematical literature, concluding with more recent results applicable to the stochastic Ising model in the two-dimensional lattice. These were obtained in collaboration with Alexandre Gaudilli`ere and Paolo Milanesi, both from Universit ́e Aix-Marseille.

AMU-PACOM 2021 Medal Winner (A)


Abstract:
To be announced soon

AMU-PACOM 2021 Medal Winner (B)


Abstract:
To be announced soon

Prof. Mary Teuw Niane

Former Minister of Higher Education, Research and Innovation of Senegal, University Gaston Berger, Saint Louis, Senegal (Representing West Africa)
Title: "EDP, Singularités et Contrôlabilité"
Abstract:
To be announced soon

Prof Mahmoud Abdel-Aty

Vice President African Sciences (AAS). Mathematics Department, Faculty of Science, Sohag University, EGYPT. (Representing North Africa)
Title: "Quantum Search Algorithm with Dissipation"
Abstract:

In this communication we discuss Designing an efficient search algorithms is a key challenge in multi-qubit quantum systems. We propose a dynamic multi-qubit quantum search algorithm, which is a generalization of Grover algorithm. This algorithm is distinguished by accuracy in obtaining high probability of finding any marked state in a shorter time than Grover algorithm time. The algorithm performance can be improved with respect to the different values of the controlled phase. A new technique is used to generate the dynamical quantum gates that helps in implementing the current algorithm.

Prof. WEKE PATRICK GUGE Oloo

Director, School of Mathematics, University of Nairobi,  KENYA. (Representing East Africa )
Title: The Landscape of Mathematical Sciences in the East African Region.
Abstract:
To be announced soon

Prof. Eugène OKASSA

Knight in the International Order of Academic Palms of CAMES,
Member of CRE (Regional Commission of AUF Experts),
Marien Ngouabi University, CONGO-BRAZZA (Brazzaville). ( Representing Central Africa)
Title: Lie-Rinehart algebras and applications in differential geometry
Abstract:
After having defined the notion of Lie-Rinehart algebra in the new sense, we define Lie-Rinehart Jacobi algebras (Lie-Rinehart Poisson algebras respectively) and symplectic Lie-Rinehart algebras. We show that a manifold admits a locally conformal symplectic struc-
ture if and only if the module of vector fields carries a symplectic Lie-Rinehart algebra structure. We also show that a manifold admits a contact structure if and only if the module of differential operators of order ≤ 1 carries a symplectic Lie-Rinehart algebra structure. The characterization of Jacobi algebras (of Poisson algebras respectively) by the vanishing of the Schouten-Nijenhuis bracket is also given.



An African women Mathematician

To be announced 
Abstract:
To be announced soon

Prof. Abba Gumel

Foundation Professor of Mathematics, School of Mathematical and Statistical Science, Arizona State University
Title: "Mathematics of COVID-19 Dynamics"
Abstract:
To be announced soon

Professor Gaston M. N'Guérékata

University Distinguished Professor and Associate Dean at Morgan State University in Baltimore, Maryland, USA.

Title: "Sous et Super solutions d'équations elliptiques presque périodiques"

Abstract:
To be announced soon

Prof. Charles Ejike CHIDUME,

African University of Science and Technology, Abuja, Nigeria.

Abstract:
To be announced soon

Prof. Saminathan Ponnusamy

IIT Madras, India, President of the Ramanujan Mathematical Society (RMS), India
Title : Bohr's Inequality: Refinments and generalizations
Abstract:
To be announced soon

Prof. Ngo Viet Trung

Institute of Mathematics, Vietnam Academy of Science and Technology, President of Vietnam Mathematical Society and Chair of the Section Mathematics of the National Foundation for Science and Technology Development


Title: "Depth function of symbolic powers"
Abstract:
 Symbolic power is the abstract version of the set of polynomials whose partial derivatives up to an order vanish on a given set of points. This lecture addresses the behavior of the function depth R/I^(t) = dim R − pd I^(t) − 1, where I^(t) denotes the t-th symbolic power of a homogeneous ideal I in a polynomial ring R and pd denotes the projective dimension. It was an open question whether the function depth R/I^(t) is nonincreasing if I is a squarefree monomial ideal. We will see that depth R/I^(t) is almost non-increasing in the sense that depth R/I^(s) ≥ depth R/I^(t) for all s ≥ 1 and t in the ranges i(s − 1) + 1 ≤ t ≤ is, i ≥ 1. There are examples showing that these ranges are the best possible, which gives a negative answer to the above question. Another open question asked whether the function depth R/I^(t) is always constant for t ≫ 0. We are able to show that for any positive numerical function φ(t) which is periodic for t ≫ 0, there exist a polynomial ring R and a homogeneous ideal I such that depth R/I^(t) = φ(t) for all t ≥ 1. These results are taken from a joint paper with Nguyen Dang Hop in Invent. Math. 218 (2019).

Registration Form


REGISTRATION FORM 
Please fill the form to register to the 10th Panafrican Congress of Mathematicians (PACOM 2021)

PACOM 2021 Registration Form

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Conference Fees


Conference Fees

To be announced soon

Grants and Financial Support


Grants and financial support

"One of the aims of the PACOMs is to gather mathematicians from all over the world among the presenters as well as among the general participants, and particularly many from Africa. In order to achieve this goal, AMU has instigated a general policy of established a solidarity fund by setting a part of the registration fees, and applying for financial support from some international institutions and sponsors, in order to be able to offer, for some participants across the African continent, who may not be able to secure support elsewhere. A “PACOM 2021 Grants selection Committee”, appointed by AMU will distribute the grants from the Solidarity Fund amongst the successful applicants. Priority will be given to young mathematicians and African women mathematicians who contribute to the scientific programs. Grants will be given mainly as partial support to registration fee, accommodation, and travel costs. All potential applicants are advised to apply for funding from other sources as well. Participants who consider themselves eligible for grants are encouraged to send a grant application. Application form will be available before 1st October 2020 at the PACOM 2021. Interested participants are asked to apply between 1st October and 1st December 2020. It is necessary to include the following details in the application for grant: Basic personal information (full name, postal and e-mail addresses); Current institution; academic position; country/region
; contribution in the scientific program; Paper or poster submitted
; Academic CV; List of publications
; Current financial situation; a recommendation letter by PhD-supervisor for the PHD students. »

The First Announcement


Local and Travel


Local and Travel Local and Travel Local and Travel
Useful links:

General information on tourism :

Tourist office www.officedutourisme.gouv.cg
Ministry of Tourism www.ministere-tourisme.gouv.cg

Hotels:

Ledger Hotel www.ledger-maya-brazzaville.h-rez.com
Imongui Hotel  hotel-imongui-brazzaville.hotelmix.fr
Radisson Hotel ​http://www.radissonblu.com/hotel-brazzaville/​​​

Contact


  • Brazzaville, Congo Republic
  • P.O. 69, Faculté des Sciences et Techniques, UMNG

About AMU and PACOM


About AMU & PACOM
The African Mathematical Union (AMU) was founded during the first Pan African Congress of Mathematicians, held in Rabat, Morocco in July 1976.

  • With mission :
To Coordinate and promote the quality of teaching, research and outreach activities in all areas of mathematical sciences throughout Africa. Advancing mathematical research and education includes efforts and contributions towards the economic, social and cultural development of the continent.
  • For  the achievement  of such mission the following actions have been undertaken:
       In 1978, the AMU Executive Committee created the AMU Journal: Afrika Matematika, initially with the aim to make mathematical research originating within Africa more widely known.
       Since 2011, Afrika Matematika has been published by Springer. The submission rate has been growing since that date and it has truly increased in the last couple of years.                                                                                                                      
       Since 2013, the improved status of the journal was evidenced by the fact that it has been listed by Scopus, and has been on the Master Journal List of the Web of Science Group,
       Since 2018  Afrika Matematika is in the Emerging Sources Citation Index.
       In  January 2020: for the first time PACOM 2017 Proceedings have been published in a special issue of Afrika Matematika by Springer.
  • In 1986, four AMU Commissions were established
                1. For Mathematics Education in Africa
2. For Pan African Mathematics Olympiads
3. For History of Mathematics in Africa
4. For African Women in Mathematics
 
  • In 2009, the AMU Commission for Research and  Innovation in Mathematical Sciences was added.        
The more important AMU scientific event is : The  Pan  African   Congress of Mathematicians (PACOM) 
Supposed to be organized each 4 four years. Till now 9 editions have been organized. During the period 1976-1986, no Congress has been organized. The second edition of PACOM was held in Jose, Nigeria in 1986, the 3th in Nairobi, Kenya in 1991, the 4th in Ifrane, Morocco in 1995, the 5th in Cape Town, South Africa in 2000, the 6th in Tunis, Tunisia in 2004, the 7th in Yamoussoukro, Côte d’Ivoire in 2009, the 8th in Abuja , Nigeria in 2013 and the 9th in Rabat, Morocco in July 2017 at the Sciences Faculty of Rabat from 3 to 7 july 2017.
The 10th edition (PACOM 2021) is hosted by the Republic of Congo in Brazzaville from 2-7 August 2021. It is organized by AMU in collaboration with the Ministry of Higher Education of the Republic of Congo.
The AMU General Assembly will be held on 1st August 2021.

  • AMU trough  its various commissions, is organizing various Mathematical activities: colloquia, symposia, workshops, African Mathematical Schools in diverse mathematics areas; Training schools for graduate students, Pan African Mathematics Olympiads (PAMO), training sessions for PAMO Team leaders (PAMOSTAR), training camps for students etc….Amoung the activities of the AMU commissions, we can quote:                                                                                                                                                                                                                                                                                                                  
    • PAMO: Till now 27 editions of Pan African Mathematics Olympiad took place in various African countries. The last one “PAMO 2019” was hosted by South Africa, Morocco was the winner of the PAMO 2019 Gold Medal. PAMO 2020  planned to be hosted by Tunisia in March 2020, has been postponed due to the pandemic of COVID-19.                                                                                                           
    • PAMS : The AMU Commission on Mathematics Education (AMU-CMEA), has organized various  activities since 1992, and since 2006, the AMU-CMEA has launched the Pan African Mathematical Space (PAMS) , the two first editions have been hosted by Tunisia in 2006 and 2008, and more later, the 3rd Pan African Mathematical space “PAMES 2019”  has been hosted by the Republic of Angola, organized in collaboration with, and under the auspices of, the Ministry of Higher Education, Science, Technology and Innovation with theme: “Professional development of Mathematics Teachers in Africa”.                                                                                                                                                                                                                                                                                                                                    
    • Symposia on African women in Mathematics : since 2008, AMU through its commission AMU-CAWM, is organizing regularly such symposia :in 2008 in Maputo (Mozambique), in 2012 in Ouaga (Burkina Faso), in 2013 in Cape Town (South Africa, in 2015, in Nairobi (Kenya), in 2017, in Rabat (Morocco), in 2018, in Palapaye (Botswana).                                                                                                            
    • AMS : African Mathematical Schools, are organized regularly, since 2010,  in various African countries, par the African mathematicians, under the leadership of AMU and CIMPA (International Centre for Pure and Applied Mathematics). The AMS selected to be organized in 2020 have been postponed due to the COVID-19 pandemic.                                                                                                              
    • Over the years, and since its creation, AMU has collaborated with several International Mathematical Unions, Socieies, Associations, departments, Centres, Networks, NGOs etc …. As well as with international organisations. 
      • The current determination of AMU is to be :                                                                                                                                                                             
      • Innovative : by developing mathematics that can impact critical sectors of the economy,  in particular the Business and Industry world .                                                                                                 
      • Collaborative, by organizing scienctific events with other international organisations concerned  pursuing the same objectives.                                                                                                           
      • federator of all the African associations, Societies , NGO etc.., with a full imput and commitment 

Countdown


PACOM 2021 has started