Scientific Program

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Written by Daouda Niang Diatta

Scientific Program

The biennial's scientific program revolves around 8 guest speakers and the presentation of 20 selected new research papers among the 44 submitted.

Guest speakers will give a 1 hour talk (45 minutes for the presentation and 15 minutes for interactions) and research papers will be presented in 30 minutes (25 minutes for presentation and 5 minutes for interaction).

Download here the scientific program and the timetable of the different activities of the NLAGA - BIRS 2023.

Guest Speakers. 

1 . Prof Ngalla DJITTE

• Institution: Department of Mathematics, Gaston Berger University, Saint Louis, Senegal
• Web page: https://sites.google.com/site/ngalladjitte
• Conference Title: Recent Contributions On Inverse Problems and On Iterative Method For Some Nonlinear Equations In Classical Banach Spaces.
• Abstract: First, we present recent contributions of our group to inverse problems from demand theory in economy and from calculus of variations. The tools used here are that of exterior differential systems. Second, we present an in-depth and up-to-date coverage of the main ideas, concepts and most important results on iterative algorithms for the approximation of zeros of accretive and monotone type mappings, of solutions of Hammerstein type equations involving accretive and monotone type mappings. We also present some applications to convex minimization problems and to variational inequality problems.

2.  Prof Wilfried GANGBO

• Affiliation: Department of Mathematics, University Of California, Los Angeles, USA
• Web page: https://www.math.ucla.edu/~wgangbo/
  
• Conference Title:  Recent Progress on Master equations in Mean Field Games.
• Abstract: Mean Field Games were independently introduced by LasryLions, and by HuangCainesMalham ́e, to study strategic decision making by small interacting agents in very large populations. The master equation is a HamiltonJacobi equation on the set of probability measures, which encapsulates all the game information, but its non-local nature makes a well posedness theory a challenge, unless a monotonicity condition is satisfied by the data. The first successful condition was the so-called LasryLions monotonicity condition. To handle nonseparable Hamiltonians, we introduce an alternative condition which we term displacement monotonicity. The latter condition allows to also handle games which are either only deterministic or games where only the common noise is present. (This talk is based on works in collaboration with A. Meszaros, C. Mou and J. Zhang).

3. Prof Françoise DAL'BO

• Affiliation: Institut de Recherche Mathématique de Rennes, Rennes 1 University, France.
• Web page: https://perso.univ-rennes1.fr/francoise.dalbo/
  
• Conference Title: Sur les variétés fortement stables du flot géodésique sur une surface hyperbolique.
• Abstract: Nous nous intéresserons à la topologie des variétés fortement stables du flot geodesique et décrirons un exemple inattendu construit par Alexandre Bellis.

4.  Prof Alassane SY

• Affiliation: Department of Mathematics, University Alioune Diop, Bambey, Senegal.
• Webpage: http://www.uadb.edu.sn/pr-alassane-sy
  
• Conference Title: Couplage en optimisation de formes et quelques applications
• Abstract:  L'objectif de cette présentation est de faire une brève introduction à l'optimisation de formes (géométrique et topologique), rappeler quelques résultats principaux. Ensuite, nous proposons une méthode qui permet de faire un couplage entre ces deux techniques d'optimisation. Nous terminons par donner queques applications pratiques.

5.  Prof Khalil EZZINBI

• Affiliation: Department of Mathematics,  Cadi Ayyad University, Maroc
• Webpage: 
  
• Conference Title:  Oscillatory Dynamics For Evolution Equations Using Favard's Theory In Uniformly Convex Banach Spaces.
• Abstract: In this work, we use an approach due to Favard (Acta Math 51:3181, 1928) to study the existence of weakly almost periodic and almost automorphic solutions for some evolution equation whose linear part generates a C0-group satisfying the Favard condition in uniformly convex Banach spaces. When this C0-group is bounded, which is a condition stronger than Favard's condition, we prove the equivalence between almost automorphy and weak almost automorphy of solutions.

6. Prof Babacar Mbaye NDIAYE

• Affiliation : Department of Mathematics of Decision, University Chdeikh Anta Diop, Dakar, Senegal
• Webpage: https://scholar.google.com/citations?user=HVY4_rcAAAAJ&hl=en
  
• Conference Title:  DC Programming: Theory And Applications
• Abstract: We develop a theory of optimization for a class of smooth/nonsmooth nonconvex functions, called DC - Difference of Convex - functions. In many cases, objective function and constraints are not convex, and so methods on convex functions prove insufficient. DC programming constitutes the backbone of smooth/nonsmooth nonconvex programming and global optimization (which is concerned with finding global solutions to nonconvex programs). Most real life optimization problems are nonconvex. As an application, it is discussed how to determine the automated guided vehicle dispatching in port container terminals to reduce the AGV processing time (loading and discharging) and guarantee port efficiency. The problem statement and its mathematical formulation are developed. It can be reformulated, thanks to exact penalty techniques in DC Programming, as a polyhedral DC Program and globally solved.

7.  Prof Mouhamadou SY

• Affiliation: Research Chair Holder of Mathematics and its Applications, AIMS-Senegal.
• Web page: https://m-sy.org/
• Conference Title: Probabilistic approach to nonlinear PDEs
  
• Abstract: Probabilistics methods have become particularly fruitful in the analysis of nonlinear partial differential equations, allowing to achieve groundbreaking results towards initial value problems and asymptotic in time properties. In this talk, I will present some principles of this approach and discuss recent developments as well as some interesting perspectives.

8.  Prof Athoumane NIANG

• Affiliation: Department of Mathematics, University Chdeikh Anta Diop, Dakar, Senegal
• Web page: https://recherche.ucad.sn/?q=athoumane.niang
  
• Conference Title: Sur la Conjecture de Hopf.
• Abstract: (1) Présentation de la conjecture de Hopf. (2) Quelques travaux sur la conjectures, en particuliers nous parlerons de résultats obtenus avec de jeunes collaborateurs sur cette conjecture.
  
  

Selected New Research Papers To Be Presented