About me
Research Interests
Harmonic analysis on homogeneous spaces
Representation theory of solvable Lie groups
Fourier analysis and uncertainty principles
Deformation of discontinuous groups and related problems
Editorial Service
Tunisian Journal of Mathematics
(Co-Editor-in-Chief)
(Co-Editor-in-Chief)
Advanced in Pure and Applied Mathematics (Editor-in-Chief)
The Graduate Journal of Mathematics (Editor)
Arabian Journal of Mathematics (Editor)
Awards and Honours
Royal Society
Africa Prize 2024
Order of Merit for Education and Teaching:
President of the Republic of Tunisia Prize 2024
Prize Winner of the
AMU-PACOM 2022, Awards & Medals, Category A in Mathematics
Speaker at the
International Congress of Mathematicians–ICM 2002 , Beijing, China (International Mathematical Union)
Academic Recognition
Member of the
"Tunisian Academy of Sciences, Letters and Arts: Beit Elhikma" (since December 2016)
President Head of the Laboratory
"Applied Mathematics and Harmonic Analysis : LAMHA LR 11 ES 52 (since 2011)
Deputy Director of the
Mediterranean Institute of Mathematical Sciences (since January 2012)
Higher Expert in Research and Education,
Erasmus+ Tunisia office-European Commission (since 2023)
Vice-President of the
University of Sfax (2020-2024)
President of the
Tunisian Mathematical Society (2016-2023)
Appointments
Scientific Publications
[1] A. Baklouti: Le Cortex en dimension six. Publication du centre universitaire de Luxembourg. Fascicule V, 1993(7 - 45).
[2] A. Baklouti: On the Cortex of connected Simply connected Nilpotent Lie Groups. Russ. J. Math. Physics. Volume 5, Number 3. 1997(281-294).
[3] A. Baklouti, J. Ludwig et M. Selmi: Séparation des représentations unitaires et irréductibles des groupes de Lie nilpotents. Lie Theory and its applications in Physics. Volume 2. 1997 (75-91).
[4] A. Baklouti: Nouvelle désintégration lisse de L2(G) pour les groupes résolubles exponentiels. Journal of Lie Theory. Volume 8.1998 (1-26).
[5] A. Baklouti et J. Ludwig: Désintégration des représentations monomiales des groupes de Lie nilpotents. Journal of Lie Theory. Volume 9. N 1. 1999(157-191).
[6] A. Baklouti: Harmonic Analysis On Invariant Differential Operators On Nilpotent Homogenous Spaces. Russ. J. Math. Physics. Volume 6, N 2.1999(125-136).
[7] A. Baklouti and J. Ludwig: The Penney-Fujiwara Plancherel Formula for nilpotent Lie groups. J. Math. Kyoto Univ. Volume 40, N 1. 2000.
[8] D. Arnal, A. Baklouti, J. Ludwig and M. Selmi: Separation of Unitary representations of exponential solvable Lie groups. Journal of Lie Theory. Volume 10. N 2. 2000(399-410).
[9] A. Baklouti et J. Ludwig: Entrelacement des restrictions des représentations unitaires des groupes de Lie nilpotents. Annales de L'institut Fourier. Grenoble, Volume 51, N 2, 2001(1-35).
[10] A. Baklouti, C. Benson and G. Ratcliff: Moment Separation of the unitary dual of nilpotent Lie Groups. Journal of Lie Theory. Volume 11. N 1, 2001(153-154).
[11] A. Baklouti and J. Ludwig: Invariant Differential Operators On Certain Nilpotent Homogeneous Spaces. Monatshefte für Mathematik, Volume 134, N 1, 2001(19-37).
[12] A. Baklouti and H. Fujiwara: Harmonic Analysis on some Exponential Homogeneous Spaces. Research and Exposition in Math, Volume 25, N 1, 2001(127-134).
[13] A. Baklouti and H. Hamrouni: On the Down-Up Representations of Exponential Solvable Lie Groups. Russ. J. Math. Physics. Volume 8, N 4, 2001(422-432).
[14] A. Baklouti, A. Ghorbel et H. Hamrouni: Sur Les Représentations Mixtes Des Groupes de Lie Résolubles Exponentiels. Publ. Mat. Volume 46, 2002(179-199).
[15] A. Baklouti, J. Ludwig and K. Smaoui: Estimate of the Lp -Fourier transform norm of Nilpotent Lie Groups. J. Funct. Anal. 199, 2003(508-520).
[16] A. Baklouti et H. Fujiwara: Opérateurs Différentiels Associés à Certaines Représentations Unitaires des Groupes de Lie Résolubles Exponentiels. Compositio. Math. Volume 139, 2003(29-65).
[17] A. Baklouti and H. Fujiwara: Commutativité de l’algèbre des Opérateurs différentiels sur l’espace des représentations restreintes des groupes de Lie nilpotents. J. Math. Pures. Appl. Volume 83, 2004(137-161).
[18] A. Baklouti, N. Ben Salah and K. Smaoui: Some uncertainty principles for nilpotent Lie groups. Contemporary Mathematics. Volume 363, 2004(39-52).
[19] A. Baklouti, H. Fujiwara and J. Ludwig: Analysis of Restrictions of Unitary Representations of a Nilpotent Lie Group. Bull. Sci. Math. Volume 129, Issue 3, 2005, (187-209).
[20] A. Baklouti, S. Dhieb et D. Manchon: Déquatification des orbites coadjointes et variétés caractéristiques. J. Geo. Physics. Volume 54, N 1, 2005 (1-41).
[21] A. Baklouti and F. Khlif: Proper actions on some exponential solvable homogeneous spaces. Int. J. Math. Volume 16, N 9, 2005 (941-955).
[22] A. Baklouti and N. Ben Salah: The Lp-Lq Version of Hardy’s Theorem on nilpotent Lie groups. Forum Mathematicum. Volume 18, 2006 (245-262).
[23] A. Baklouti, H. Hamrouni and F. Khlif: Analysis of some monomial representations of exponential solvable Lie groups. Russ. J. Math. Physics. Volume 13, N 4, 2006 (363-379).
[24] A. Baklouti, J. Ludwig, L. Scuto and K. Smaoui: Estimate of the Lp-Fourier Transform Norm on Strong *-Regular Exponential Solvable Lie Groups. Acta. Math. Sinica. Volume 23, N 8, 2007 (1173-1188).
[25] A. Baklouti and F. Khlif: Weak proper actions on solvable homogeneous spaces. Int. J. Math. Volume 18, N 8, 2007 (903-918).
[26] A. Baklouti and H. Hamrouni: The multiplicity function of mixed representations on Completely solvable Lie groups. Tokyo. J. Math. Volume 30, N 1, 2007 (41-55).
[27] A. Baklouti and K. Tounsi: On the Benson-Ratcliff invariant of coadjoint orbits on nilpotent Lie groups. Osaka. J. Math. Volume 44, 2007 (399-414).
[28] A. Baklouti and N. Ben Salah: On Theorem of Beurling and Cowling-Price for certain nilpotent Lie groups. Bull. Sci. Math. Volume 132, No. 6, 2008 (529-550).
[29] A. Baklouti and E. Kaniuth: On Hardy's uncertainty principle for connected nilpotent Lie groups. Math. Z. Volume 259, No. 2, 2008 (233-247 ).
[30] A. Baklouti, I. Kédim and T. Yoshino : On the deformation space of Clifford-Klein forms of Heisenberg groups. Int. Math. Res. Not. IMRN (2008), no. 16, 35 pp.
[31] A. Baklouti and I. Kédim: On the deformation space of Clifford-Klein forms of some exponential solvable homogeneous spaces. Int. J. Math. Vol 20, Issue 7, 2009(817-839
[32] A. Baklouti, J. Ludwig and H. Fujiwara: A variant of Frobenius reciprocity for restricted representations on nilpotent Lie groups. Infinite dimensional harmonic analysis IV. Hackensack, NJ: World Scientific. 13-31 (2009).
[33] A. Baklouti: Deformation of discontinuous subgroups acting on some nilpotent homogeneous spaces. Proc. Japan Acad., 85, Ser. A. No. 4. (2009) 41-45.
[34] A. Baklouti and E. Kaniuth : On Hardy's uncertainty principle for solvable locally compact groups. J. Fourier Anal. Appl. 16, No. 1, 129-147 (2010).
[35] A. Baklouti and F. Khlif: Deforming discontinuous subgroups for threadlike homogeneous spaces. Geometria Dedicata. Vol 146, 117-140 (2010).
[36] A. Baklouti and I. Kédim : On non-abelian subgroups acting on exponential solvable homogeneous spaces. Int. Math. Res. Not. 2010, No. 7, 1315-1345 (2010).
[37] A. Baklouti and S. Thangavelu : Variants of Miyachi’s Theorem on Nilpotent Lie groups. J. Aust. Math. Soc. 88, No. 1, 1-17 (2010).
[38] F. Abdelmoula and A. Baklouti: The Lp-Lq-version of Morgan’s Theorem for exponential solvable Lie groups. Math. Notes. 88, No. 4, 464-478 (2010).
[39] A. Baklouti and J. Inoue: Estimate of the Lp-Fourier transform norm for connected nilpotent Lie groups. Adv. Pure. Appl. Math. 2, No. 3-4, 467-483 (2011).
[40] A. Baklouti, S. Dhieb, D. Manchon: A deformation approach of the Kirillov map for exponential groups. Adv. Pure Appl. Math. 2, No. 3-4, 421-436 (2011).
[41] A. Baklouti: On discontinuous subgroups acting on solvable homogeneous spaces, Proc. Jap. Academy, 87, Serial A. 87, No. 9, 173-177 (2011).
[42] A. Baklouti, S. Dhieb and K. Tounsi: When is the deformation space T (?,H2n+1,H) a smooth manifold, Int. J. Math. Vol. 22, No. 11 (2011) 1–21.
[43] A. Baklouti, F. Khlif and H. Koubaa. On the geometry of stable discontinuous subgroups acting on threadlike homogeneous spaces. Math. Notes, Volume 89, Numbers 5-6, 761-776(2011).
[44] A. Baklouti and J. Inoue: Estimate of the Lp-Fourier transform norm for connected nilpotent Lie groups. Adv. Pure Appl. Math. 2, No. 3-4, 467-483 (2011).
[45] L. Abdelmoula, A. Baklouti and I. Kédim: The Selberg-Weil-Kobayashi local rigidity Theorem for exponential Lie groups. Int. Math. Res. Not. No. 17, 4062-4084 (2012).
[46] A. Baklouti, N. ElAloui and I. Kédim. A rigidity Theorem and a Stability Theorem for two-step nilpotent Lie groups. J. Math. Sci. Univ. Tokyo 19 (2012), 1–27.
[47] A. Baklouti and I. Kédim. On the local rigidity of discontinuous groups for exponential solvable Lie groups. Adv. Pure. Appl. Maths. 4, No. 1, 3-20 (2013).
[48] F. Abdelmoula, A. Baklouti and D. Lahiani: The Lp-Lq-version of Miyachi’s Theorem for nilpotent Lie groups and sharpness problems. Math. Notes. 94, Issue 1-2, 3-19 (2013).
[49] A. Baklouti, J. Ludwig and H. Fujiwara: La formule de Penney-Plancherel des restrictions à multiplicités finies des groupes de Lie nilpotents. Adv. Pure Appl. Math. 4, No. 1, 21-40 (2013).
[50] A. Baklouti and I. Kédim. Open problems in deformation theory of discontinuous groups acting on homogeneous spaces. Int. J. Open Problems Comput. Math. , Vol. 6, No. 1, 2013, 115-131.
[51] S. Azouazi, A. Baklouti and M. Elloumi: Some uncertainty principles like Miyachi, Cowling-Price and Morgan, on compact extensions of Rn. Indian. J. Pure . App. Maths. Volume 44, Issue 5, pp 587-604 (2013).
[52] S. Azouazi, A. Baklouti and M. Elloumi: A generalizaton of Hardy's uncertainty principle on compact extensions of Rn. Annali. Math. Pura. Applicata. Ann. Mat. Pura Appl. (4) 193 (2014), no. 3, 723–737.
[53] A. Baklouti and J. Inoue: Estimate of the Lp-Fourier transform norm of compact extensions. Forum. Math. 26 (2014), no. 2, 621--636.
[54] A. Baklouti, J. Ludwig and H. Fujiwara: Intertwining Operators of irreducible representations for Exponential Solvable Lie groups. Forum. Math. 27 (2015), no 4, 2231-2257.
[55] A. Baklouti, S. Ghaouar, F. Khlif: Deforming discontinuous subgroups of reduced Heisenberg groups. Kyoto J. Math. 55 (2015), no. 1, 219–242.
[56] A. Baklouti, S. Ghaouar, F. Khlif: On discontinuous groups acting on $(\Bbb{H}_{2n+1}^r\times\Bbb{H}_{2n+1}^r)/\Delta$. Adv. Pure Appl. Math. 6 (2015), no. 2, 63–79.
[57] A.M. A. Alghamdi, A. Baklouti: A Beurling theorem for exponential solvable Lie groups. J. Lie Theory 25 (2015), no. 4, 1125–1137.
[58] S. Azaouzi, A. Baklouti, S. Ben Ayed: Variants of Müntz-Szàsz analogs for Euclidean spin groups. Math. Notes 98, No. 3, 367-381 (2015).
[59] A. Baklouti, D. Lahyani: Some uncertainty principles for diamond Lie groups. Adv. Pure Appl. Math. 6 (2015), no. 4, 199–213.
[60] A. Baklouti, N, ElAloui and I. Kédim. The Selberg-Weil-Kobayashi rigidity Theorem. The rank one solvable case. Int. J. Math, vol 27. no 10 (2016).1650085, 23 pp.
[61] A. Baklouti and S. Bejar. On the Calabi-Markus phenomenon and a rigidity theorem for Euclidean motion groups. Kyoto. J. Math. 56, N°2. (2016), 325-346.
[62] A. Baklouti and S. Bejar. Variants of stability of discontinuous groups for Euclidean motion groups. Int. J. Math. 28, No. 6, 26 p. (2017).
[63] A. Baklouti, M. Boussoffara and I. Kedim. Stability of Discontinuous Groups Acting on Homogeneous Spaces. Mathematical Notes, (2018), vol. 103, no. 4, pp. 9-22 .
[64] A. Baklouti and S. Thangavelu: Hardy and Miyachi Theorems for Heisenberg motion groups. Nagoya. Math. Journal, 229 (2018), 1-20.
[65] L. Abdelmoula, A. Baklouti and Y. Bouaziz: On the generalized moment separability theorem for type 1 solvable Lie groups. Adv. Pure. Appl. Math. 9(4): 247-277(2018).
[66] A. Baklouti, S. Bejar and Ramzi Fendri. A local rigidity Theorem for finite actions on Lie groups and application to compact extensions of Rn. Kyoto J. Math. 59, No. 3, 607-618 (2019).
[67] A. Baklouti, M. Bossofora and I. Kedim: Deformation problems on three-step nilpotent Lie groups. Hiroshima Math. J. 49, No. 2, 195-233 (2019).
[68] A. Baklouti, H. Fujiwara and J. Ludwig: The polynomial conjecture for restrictions of some nilpotent Lie groups representations. J. Lie Theory 29, No. 2, 311-341 (2019).
[69] A. Baklouti, H. Fujiwara and J. Ludwig: Monomial representations of discrete type of an exponential solvable Lie group. Springer Proceedings in Mathematics & Statistics 290(2019), 1–55.
[70] Baklouti, Ali; Ghaouar, Sonia; Khlif, Fatma A stability theorem for non-abelian actions on threadlike homogeneous spaces. Springer Proc. Math. Stat, 207(2017), 117–135.
[71] A. Baklouti, S. Dhieb and D. Manchon: The Poisson characteristic variety of unitary irreducible representations of exponential Lie groups. Springer Proceedings in Mathematics & Statistics 290(2019), 207–217.
[72] A. Baklouti, S. Bejar and K. Dhahri: Deforming discontinuous groups for Heisenberg motion groups. Int. J. Math. 30, No. 9, 23 p. (2019). https://doi.org/10.1142/S0129167X19500459
[73] Azaouzi Salma, Ali Baklouti and Mounir Elloumi. A generalized Beurling's Theorem for some Lie groups. Mathematical Notes. 107, 42–53 (2020).
[74] Ali Baklouti and Junko Inoue: The $L^p$-Fourier transform norm on compact extensions of locally compact groups. Journal of Fourier Analysis and Applications. 26, 26 (2020). https://doi.org/10.1007/s00041-020-09739-5
[75] Ali Baklouti and Mahmoud Filali: Beurling’s Theorem on locally compact abelian groups. De Gruyter Proceedings in Mathematics 2020. To appear. https://doi.org/10.1515/futur-2012-0001
[76] Ali Baklouti and Sabria Benayed. Müntz-Szàsz analogues for compact extensions of Heisenberg groups. Proc Math Sci 131, 27 (2021). https://doi.org/10.1007/s12044-021-00617-8
[77] Ali Baklouti and Atsumu Sasaki. Visible actions and criteria for multiplicity-freeness of representations of Heisenberg groups. Journal of Lie Theory. https://www.heldermann.de/JLT/JLT31/JLT313/jlt31038.htm
[78] A. Baklouti, M. Chaabouni and R. Lahiani: Müntz-Szàsz theorem for connected nilpotent Lie groups. J. Ramanujan Math. Soc. 37, No.3, 287–300(2022).
[79] A. Baklouti, H. Fujiwara and J. Ludwig: A proof of the polynomial conjecture for restrictions of nilpotent Lie groups representations. Representation Theory, American Mathematical Society. 26, 616-634 (2022).
[80] S. Adili, A. Baklouti, and S. Bejar: Criterion of proper actions of abelian affine discontinuous groups for $\R^n$. Inter. J. Math. Vol. 33, No. 7, Article ID 2250048, 26 p. (2022).
[81] A. Baklouti, H. Fujiwara and J. Ludwig: A proof of the polynomial conjecture for nilpotent Lie groups monomial representations. Transactions. American. Math. Soc. 376, No. 9, 6015-6032 (2023).
[82] A. Baklouti, S. Bejar and R. Fendri: A criterion of proper action on some compact extensions of $\R^n$ and applications. Inter. J. Math. Vol. 34, No. 3 (23 pages) DOI: 10.1142/S0129167X23500106 (2023).
[83] A. Baklouti and H. Fujiwara: A solution to Duflo's polynomial problem for nilpotent Lie groups restricted representations. Progress in Mathematics. Birkhäuser Verlag. To appear
[84] A. Baklouti and H. Ishi: Open orbits and primitive zero ideals for solvable Lie algebras. Forum Math. 36, No. 3, 571-584 (2024)
[85] Ali Baklouti and Junko Inoue. Estimate of the $L^p$ -Fourier transform norm for some Lie groups. Birkhäuser/Springer, Cham, [2024] . To appear
[86] A. Baklouti and H. Fujiwara: Discrete type restricted representations of exponential groups and differential operators. Inter. J. Math. To appear
[87] A. Baklouti and H. Fujiwara: The polynomial Conjecture for discrete type monomial representations of exponential groups. Kyoto. J. Math. To appear
Survey Papers
[1] A. Baklouti: Dequantization of co-adjoint orbits : Moment Sets and characteristic varieties. Contemporary Mathematics. Volume 377, 2005 (79-91).
[2] A. Baklouti: Analogues to some uncertainty principles on certain solvable Lie groups. Adv. Pure Appl. Math. 3, No. 3, 265-279 (2012).
[3] A. Baklouti: On the $L^p$-Fourier transform norm for certain Lie groups. Analysis, geometry and representations on Lie groups and homogeneous spaces, 13–22, Sem. Math. Sci., 39, Keio Univ., Yokohama, 2016.
Books
• Representation Theory of Solvable Lie Groups and Related topics: Jointly with H. Fujiwara (Fukuoka) and J. Ludwig (Metz-Luxembourg). Springer Monographs in Mathematics 2021. eBook ISBN 978-3-030-82044-2: https://www.springer.com/gp/book/9783030820435
• Deformation Theory of Discontinuous Groups: De Gruyter Expositions in Mathematics 2022. ISBN: 9783110765304: https://www.degruyter.com/document/isbn/9783110765304/html
• Deformation Theory of Discontinuous Groups II, Geometry of Clifford-Klein forms, Local Rigidity and Stability Concepts: De Gruyter Expositions in Mathematics 2025. To appear.
Previous And Current Research Students
Edited Volumes
My Guest Speakers
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.
Dominique Manchon: University of Blaise-Pascal (France)
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.
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.
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)
December 16-19, 2019: Djerba, Conference TJC2019 in honour of Takaaki Nomura. Invited talk 1: Visible actions on complex Heisenberg homogeneous spaces and geometric criterion for multiplicity-freeness of representations. The abstract is available here.
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.
- 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".
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.
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.
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.
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.
Toshiyuki Kobayashi: Tokyo University (Japan)
September 2004. 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).
September 2004. 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).