Ali Baklouti

Ali Baklouti

Professor of Mathematics, Faculty of Sciences of Sfax

Ali Baklouti is a Full Professor of Mathematics at the University of Sfax, Tunisia. He earned his Ph.D. in Mathematics from the University of Metz, France, in 1995. He served as Vice-President of the University of Sfax from December 2020 to July 2024 and held the position of President of the Tunisian Mathematical Society for two consecutive terms (April 2016–March 2019 and April 2019–March 2022). Since January 2012, he has been the Deputy Director of the Mediterranean Institute of Mathematical Sciences, an institution he co-founded that same year. In December 2016, he was elected as a permanent member of the Tunisian Academy of Sciences, Letters, and Arts.

Professor Baklouti has received numerous prestigious awards, including the AMU-PaCOM 2022 Award and Medal, Category A in Mathematics, and the Royal Society Africa Prize 2024. In the same year, he was also honored with the Order of Merit for Education and Teaching by the President of Tunisia.

He currently serves as Co-Editor-in-Chief of the Tunisian Journal of Mathematics (published by MSP, USA) and as Editor-in-Chief of Advances in Pure and Applied Mathematics (published by ISTE, UK). Additionally, he is a member of the editorial boards of other several journals, including the Graduate Journal of Mathematics (MIMS), and the Arabian Journal of Mathematics (Springer).

ali.baklouti@usf.tn
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Guest Speakers

Dominique Manchon: University of Blaise-Pascal (France)

December 11, 2024. Invited talk: Post-Lie Algebras and Affine Connections.
December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: The universal pre-Lie-Rinehart algebra of aromatic trees. The abstract is available here. February 25- March 04, 2019. Invited talk: Les groupoïdes de Lie et leurs représentations unitaires. Abstract: Les groupoïdes de Lie sont des objets qui font le lien entre les variétés différentiables et les groupes de Lie, qui en sont des cas particuliers. Nous allons décrire la structure de Poisson sur le dual de l’algébroïde de Lie d’un groupoïde de Lie G, et formuler une conjecture de type Kirillov reliant l’espace des feuilles symplectiques de cette variété de Poisson avec les représentations unitaires de la C^*-algèbre de G. Nous illustrerons ce principe à l’aide de quelques exemples.
Dominique is a regular visitor to our laboratory LAMHA at the Mathematics Department of the Faculty of sciences of Sfax. His last visit took place in December 2017 and right after he attended and gave an invited talk at the fifth Tunisian-Japanese Conference of geometric and harmonic analysis on homogeneous spacesTJC2017.

Toshiyuki Kobayashi: Tokyo University (Japan)

October 31-November 4, 2023: Monastir, Conference TJC2023 in honour of Professor Toshiyuki Kobayashi. Invited talk: Non-commutative Harmonic Analysis, Branching Problems, and Discontinuous Groups.
September 20​0​4. Faculty of Sciences of Sfax, Mathematics Department​, followed by the parallel Session: Lie Groups and Representation Theory at the conference PACOM2004, INSAT, Tunis. Invited talk: Conformal Geometry and Analysis on Minimal Representation of O(p,q).

October 31-04 November, 2023: Monastir,Conference TJC2023 in honour of Toshiyuki Kobayashi. Invited talk: Non-commutative Harmonic Analysis,Branching Problems, and Discontinuous Groups. The abstract is available here.

Étienne Ghys, ENS Lyon, secrétaire perpétuel de l'Académie Française des Sciences

March 18-21, 2023: Sousse. Annual meeting of the Tunisian Mathematical Society, CSMT2023. Invited Talk: Le groupe des homéomorphismes de la sphère 

Philippe Jaming: Université de Bordeaux, Institut de Mathématiques de Bordeaux (France)

March 18-21, 2023: Sousse. Annual meeting of the Tunisian Mathematical Society, CSMT2023. Invited Talk: The Littlewood conjecture in the Besikovitch space

Michel Duflo: Centre de Mathématiques de Jussieu Université Paris 7 (France)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: On Frobenius Lie subalgebras of simple Lie algebras. The abstract is available here. M. Duflo attended all the Tunisian-Japanese Conferences except the fifth Conference. 

Jacques Faraut: Université Pierre et Marie Curie (France)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: Horn’s problem, projection of orbital measures, and multivariate spline functions. The abstract is available here.

Pierre Torasso: Université de Poitiers (France)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: Restriction of the metaplectic representation to an isotropic torus. The abstract is available here.

James Bradford Cole: National Academy of Sciences (Washington)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: Waves, their models, and information they carry. The abstract is available here.

Sami Mustapha: Centre de Mathématiques de Jussieu Université Paris 7 (France)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: Property (RD) for algebraic p-adic groups. The abstract is available here.

Takeshi Kawazoe: Keio University (Yokohama)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: Singular integrals for Jacobi analysis. The abstract is available here.

Nobukazu Shimeno: Kwansei Gakuin University, Gakuen, (Sanda)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: Harmonic analysis of spherical functions for minuscule k-types on real semisimple Lie groups. The abstract is available here. 

Hiroshi Oda: Tokyo University (Japan)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: Classification of minuscule K-types. The abstract is available here. 

Yuichiro Tanaka: Tokyo University (Japan)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: A Cartan decomposition for a reductive real spherical subgroup. The abstract is available here. 

Abdelhamid Boussejra: Université Ibn Tofail Kénitra, (Morocco)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: An image characterization for the Poisson transform on homogeneous line bundles over Noncompact Complex Grassmann Manifolds. The abstract is available here. 

Abdellatif Bentaleb: Université Moulay Ismail Meknès, (Morocco)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: Higher order concentration of Gaussian measures. The abstract is available here. 

Said Fahlaoui: Université Moulay Ismail Meknès, (Morocco)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: The continuous quaternion algebra-valued transform and the associated Miyachi’s uncertainty principle. The abstract is available here. 

Fanny Kassel: Institut des Hautes Etudes Scientifiques (IHES), Paris (France)

December 17- 21, 2018. Invited talk: Nouveaux exemples d’actions affines propres sur R^n  Abstract: Les actions propres de groupes discrets sur R^n par transformations affines ont été beaucoup étudiées en lien avec la théorie des pavages de R^n. Lorsque l’action est cocompacte, la conjecture d’Auslander affirme que le groupe discret doit être virtuellement résoluble. Lorsque l’action n’est pas cocompacte, il existe des groupes discrets non virtuellement résolubles agissant proprement sur R^n dès que n>2 : les premiers exemples ont été construits par Margulis en 1983. Jusqu’à présent, on ne connaissait d’exemple d’action affine propre irréductible sur R^n que pour des groupes virtuellement résolubles ou virtuellement libres. Nous construisons des exemples pour tous les groupes de Coxeter à angles droits. La preuve consiste, pour G=O(p,q), à construire des actions affines propres sur l’algèbre de Lie de G comme « versions infinitésimales » d’actions propres sur (GxG)/Diag(G). Travail en commun avec Jeffrey Danciger et François Guéritaud. 
Member of Jury and Referee of the thesis of Ramzi Fendri. 

Abdelghani Zeghib: University of Lyon, CNRS (France)

December 17- 21, 2018. Invited talk: On Causal Actions. Abstract: A Causal structure on a manifold consists in giving a field of tangent cones: a convex proper cone in each tangent space. We are interested in the automorphism group of such a structure, particularly in the case where this group acts non-properly. Member of Jury and Referee of the thesis of Ramzi Fendri. 
January 2016. Member of jury and Referee of the thesis of Dr. Souhail Bejar. Invited talk: Configuration space: Geometry, Topology, Dynamics, Physics and Technology…

Samir Kabbaj: University of Kénitra (Morocco)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: Continuous frames in Hilbert A-modules. The abstract is available here. 
December 17- 21, 2018. Member of Jury and Referee of the thesis of Sabria Ben Ayed. Invited talk: On the Evolution of d’Alembertís Functional Equations. Abstract: Through this presentation, I focus on the link  between the solutions of certain d’Alembert type functional equations and the Gelfand pairs. I also give the form of solutions on algebraic structures such as semi-groups and monoids. 

Atsumu Sasaki: Tokai University (Japan)

September 14-19, 2018. Invited talk 2: Introduction to visible actions on complex manifolds.  Abstract: The notion of (strongly) visible actions on complex manifolds has been introduced by T. Kobayashi (2004, 2005) to give an unified explanation of multiplicity-freeness property of representations of Lie groups which are realized in holomorphic sections of Hermitian holomorphic vector bundles (Propagation theorem of multiplicity-freeness property for holomorphic vector bundles). First of this lecture, we summarize a relationship between multiplicity-free representations and visible actions. Next, we explain the notion of (strongly) visible actions on complex manifolds.  In particular, we show their elementary examples as many as possible. They include such as the torus action on the complex vector space, the SO(2)-action on the complex upper-half plane and the one coming from the diagonalizable of complex matrices. 
Invited talk 3: Recent study on a classification of strongly visible actions. Abstract: Many examples of (strongly) visible actions has been found in connection with multiplicity-free representations. Then, we expect that multiplicity-free representations realized in holomorphic sections have strongly visible actions on the base spaces. In this aspect, we explain the recent study on the classification problem of strongly visible actions. In this talk, we treat complex manifolds such as :
– Hermitian symmetric spaces, 
– complex vector spaces, 
– flag varieties, 
– nilpotent orbits in complex simple Lie algebras. 

Hideyuki Ishi: Nagoya University (Japan)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: Open orbits and primitive zero ideals for solvable Lie algebras. The abstract is available here.
September 5-10, 2018. Invited talk: Harmonic analysis for Frobenius Lie algebras. Abstract: A real Frobenius Lie algebra is characterized as the Lie algebra of a Lie group admitting open coadjoint orbits. In the context of the orbit method, such open coadjoint orbits are expected to correspond to square-integrable unitary representations. We pose a conjecture about the relation between the formal degrees of the representations and the Pfaffian of the Frobenius Lie algebra.
December 2014. Invited talk: Holomorphically induced representation of a certain solvable Lie group.

Yoshinori Tanimura: Tokyo University (Japan)

From December 4, 2016 through February 18, 2017. Three invited talks: Talk 1: Rigidity and cohomology. Talk 2: A rigidity theorem for split Lie algebras.Talk 3: A splitting of local rigidity of Clifford-Klein forms whose translation groups are completely solvable. And also a talk on Baklouti’s local rigidity Conjecture at the Faculty of sciences of Tunis in the “Topology Seminar”.

Abdennacer Makhlouf: University haute-Alsace, Mulhouse (France)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: Recent developments on Rota-Boxter operators and their generalization. The abstract is available here. 
November 2016: Member of Jury and Referee of the thesis of Samiha Hydri. June 2014: Member of Jury and Referee of the thesis of Warda Bensalah.

Cedric Villani: University of Claude-Bernard (France)

Series of lectures in Tunis and Sfax organized by MIMS through the program “MIMS distinguished lectures series”. Tuesday, November 15, 2016 at “Faculté de Médecine de Sfax”. Invited talk: Les merveilleux théorèmes de Monsieur Nash. Abstract: Pourquoi John Nash demeure-t-il, plus d’un demi-siècle après ses grandes théories, un personnage mythique – un symbole de créativité et de génie mathématique, aux théorèmes incroyables, une figure tutélaire pour des générations de mathématiciens, et l’un des rares scientifiques à avoir été le héros d’un film hollywoodien de son vivant ? Évoquons ensemble le cas du magicien Nash, et l’un de ses articles les plus extraordinaires. 

Camille Laurent-Gengoux: University of Lorraine (France)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: What is a Poisson structure on a differential stack?. The abstract is available here. November 2016: Member of Jury and Referee of the thesis of Samiha Hydri.

Saîd Benayadi: University of Lorraine (France)

November 2016: Member of Jury and Co-advisor of the thesis of Samiha Hydri.

Abderrazak Bouaziz: University of Poitiers (France)

April 2016. Member of Jury and Referee of the habilitation thesis of Dr. Imed Kedim. Invited talk: Sur les champs de vecteurs invariants sur l’espace tangent d’un espace symétrique réductif.

Ibrahim Mashhour: University of Koweit

September 2015. Invited talk: On classification of 8-dimensional distributative quasifield over finite fields F_q.

Tarou Yoshino: Tokyo University (Japan)

March 2008. Invited talk: On proper actions on certain homogeneous spaces.

Houssem Haddar: University of Palaiseau (France)

October 2014. Invited talk: Selection of defective components in an unknown complex environment using electromagnetic multi static measurements.

Hidenori Fujiwara: University of Kinki (Japan)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: Intertwining operators between two equivalent monomial representations of an exponential solvable Lie group. The abstract is available here. 
Hidenori is a regular visitor to the Faculty of Sciences of Sfax, Mathematics Department, Laboratory LAMHA. His last visit to Sfax took place in October 2014. Invited talk: Operateurs d’entrelacement pour les groupes de Lie résolubles exponentiels. After he got retired, the Third Tunisian-Japanese Conference was organised in his honor, which took place in Hammamet during December 17-21, 2013. Two special volumes (Volume 1 and Volume 2), subject of the Proceedings of the Conference were published by the occasion. 

Junko Inoue: University of Tottori (Japan)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: Semi-invariant vectors associated with holomorphically induced representations of exponential Lie groups. The abstract is available here. 
Junko is also a regular visitor to the laboratory Laboratory LAMHA, Mathematics Department at the Faculty of Sciences of Sfax. Her last visit took place on September 2014. Invited talk: Holomorphically induced representations of solvable Lie groups: Examples of inductions from low-dimensional subgroups.

Fumio Hiroshima: University of Kyushu (Japan)

September 2014. Invited talk: Representations of infinite dimensional symplectic groups on Fock space and its applications.

Tilmann Wurzbacher: University of Lorraine (France)

May 2013. Member of jury of the habilitation thesis of Dr. Majdi Benhalima.

Ahmed Mohamed Alghamdi: Umm al-Qura University (Saudi Arabia)

November 2012. Member of jury of the thesis of Dr. Fatma Abdelmoula.

Sadok Kallel: University of Lille (France)

April 2010 and July 2015. Member of jury of the habilitation thesis of Dr. Fatma Khlif. Invited talk: On some configuration spaces.

Jean Ludwig: University of Lorraine (France)

December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk: The C*-algebra of some solvable Lie groups. The abstract is available here. 
Jean is my Phd thesis supervisor. He was also among the most regular visitors to the Faculty of Sciences of Sfax, Mathematics Department. His last visit to Sfax took place in May 2010. After he got retired, the Forth Tunisian-Japanese Conference was organised in his honor, which took place in Monastir during December 18-23, 2015. A special volume, subject of the Proceedings of the Conference was published by the occasion. 

Bradely. R. Currey: Saint Louis Missouri University (USA)

June 2010. Member of Jury and Referee of the habilitation thesis of Dr. Lobna Abdelmoula.

Didier Arnal: University of Bourgogne (France)

Didier was the most regular visitor to the Faculty of Sciences of Sfax, Mathematics Department. His last visit to Sfax took place in June 2010, where his was member of Jury of the habilitation thesis of Dr. Lobna Abdelmoula.

Takaaki Nomura: Kyushu University (Japan)

Mai 2008 and November 2014. Invited talk: Realization of homogeneous convex cones through oriented graphs.

Eberhard Kaniuth: Paderborn University (Germany)

February 2008. Member of jury and evaluator of the thesis of Dr. Nour Bensalah. Invited talk: Extending positive definite functions from subgroups of locally compact groups.

Grigory Litvinov: University of Moscow (Russia)

October 2001, by the occasion of the days: “Journées de Physique mathématique” at the Faculty of Sciences of Sfax, Mathematics Department.