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Summer School and Conference on Real Algebraic Geometry and its Applications | (smr 1537)
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  • Monday, 4 August 2003
    • 08:30 - 10:00 Registration
      Location: Main Building, Lobby
      • 08:30 Registration 1h30'
    • 14:00 - 14:15 Opening
      • 14:00 Opening 15'
    • 14:15 - 15:15 Algebraic and semialgebraic sets (1)
      • 14:15 Algebraic and semialgebraic sets (1) 1h0'
        Speaker: M. Coste (Université de Rennes I, France)
        Material: lecture notes
    • 15:15 - 15:30 Break
      • 15:15 Break 15'
    • 15:30 - 16:30 Description of semialgebraic sets (1)
      • 15:30 Description of semialgebraic sets (1) 1h0'
        Speaker: C. Andradas Heranz (Universidad Complutense de Madrid, Spain)
        Material: lecture notes
  • Tuesday, 5 August 2003
    • 09:00 - 10:00 Topology of real algebraic curves (1)
      • 09:00 Topology of real algebraic curves (1) 1h0'
        Speaker: I. Itenberg (Université de Rennes I, France)
        Material: lecture notes
    • 10:00 - 10:15 Break
      • 10:00 Break 15'
    • 10:15 - 11:15 Sums of squares, moments and optimization (1)
      • 10:15 Sums of squares, moments and optimization (1) 1h0'
        Speaker: M. Schweighofer (Université de Rennes I, France)
        Material: transparencies
    • 11:15 - 11:30 Break
      • 11:15 Break 15'
    • 11:30 - 12:30 Algebraic and semialgebraic sets (2)
      • 11:30 Algebraic and semialgebraic sets (2) 1h0'
        Speaker: M. Coste (Université de Rennes I, France)
        Material: lecture notes
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Description of semialgebraic sets (2)
      • 14:00 Description of semialgebraic sets (2) 1h0'
        Speaker: C. Andradas Heranz (Universidad Complutense de Madrid, Spain)
        Material: lecture notes
    • 15:00 - 15:30 Break
      • 15:00 Break 30'
    • 15:30 - 16:30 Topology of real algebraic curves (2)
      • 15:30 Topology of real algebraic curves (2) 1h0'
        Speaker: I. Itenberg (Université de Rennes I, France)
        Material: lecture notes
  • Wednesday, 6 August 2003
    • 09:00 - 10:00 Sums of squares, moments and optimization (2)
      • 09:00 Sums of squares, moments and optimization (2) 1h0'
        Speaker: M. Schweighofer (Université de Rennes I, France)
        Material: lecture notes
    • 10:00 - 10:15 Break
      • 10:00 Break 15'
    • 10:15 - 11:15 Algebraic and semialgebraic sets (3)
      • 10:15 Algebraic and semialgebraic sets (3) 1h0'
        Speaker: M. Coste (Université de Rennes I, France)
        Material: lecture notes
    • 11:15 - 11:30 Break
      • 11:15 Break 15'
    • 11:30 - 12:30 Description of semialgebraic sets (3)
      • 11:30 Description of semialgebraic sets (3) 1h0'
        Speaker: C. Andradas Heranz (Universidad Complutense de Madrid, Spain)
        Material: lecture notes
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Topology of real algebraic curves (3)
      • 14:00 Topology of real algebraic curves (3) 1h0'
        Speaker: I. Itenberg (Université de Rennes I, France)
        Material: lecture notes
    • 15:00 - 15:30 Break
      • 15:00 Break 30'
    • 15:30 - 16:30 Sums of squares, moments and optimization (3)
      • 15:30 Sums of squares, moments and optimization (3) 1h0'
        Speaker: M. Schweighofer (Université de Rennes I, France)
        Material: lecture notes
  • Thursday, 7 August 2003
    • 09:00 - 10:00 Algebraic and semialgebraic sets (4)
      • 09:00 Algebraic and semialgebraic sets (4) 1h0'
        Speaker: M. Coste (Université de Rennes I, France)
        Material: lecture notes
    • 10:00 - 10:15 Break
      • 10:00 Break 15'
    • 10:15 - 11:15 Description of semialgebraic sets (4)
      • 10:15 Description of semialgebraic sets (4) 1h0'
        Speaker: C. Andradas Heranz (Universidad Complutense de Madrid, Spain)
        Material: lecture notes
    • 11:15 - 11:30 Break
      • 11:15 Break 15'
    • 11:30 - 12:30 Sums of squares, moments and optimization (4)
      • 11:30 Sums of squares, moments and optimization (4) 1h0'
        Speaker: M. Schweighofer (Université de Rennes I, France)
        Material: lecture notes
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Topology of real algebraic curves (4)
      • 14:00 Topology of real algebraic curves (4) 1h0'
        Speaker: I. Itenberg (Université de Rennes I, France)
        Material: lecture notes
    • 15:00 - 15:30 Break
      • 15:00 Break 30'
    • 15:30 - 15:45 Brief presentation of the Third World Academy of Sciences
      • 15:30 Brief presentation of the Third World Academy of Sciences 15'
  • Friday, 8 August 2003
    • 09:00 - 10:00 Algebraic and semialgebraic sets (5)
      • 09:00 Algebraic and semialgebraic sets (5) 1h0'
        Speaker: M. Coste (Université de Rennes I, France)
        Material: lecture notes
    • 10:00 - 10:15 Break
      • 10:00 Break 15'
    • 10:15 - 11:15 Description of semialgebraic sets (5)
      • 10:15 Description of semialgebraic sets (5) 1h0'
        Speaker: C. Andradas Heranz (Universidad Complutense de Madrid, Spain)
        Material: lecture notes
    • 11:15 - 11:30 Break
      • 11:15 Break 15'
    • 11:30 - 12:30 Sums of squares, moments and optimization (5)
      • 11:30 Sums of squares, moments and optimization (5) 1h0'
        Speaker: M. Schweighofer (Université de Rennes I, France)
        Material: lecture notes
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Topology of real algebraic curves (5)
      • 14:00 Topology of real algebraic curves (5) 1h0'
        Speaker: I. Itenberg (Université de Rennes I, France)
        Material: lecture notes
    • 18:30 - 20:00 Welcome, first contact
      Location: Adriatico Guest House (Terrace)
      • 18:30 Welcome, first contact 1h30'
  • Saturday, 9 August 2003
    • 09:30 - 12:30 Historic of RAGAAD, presentation of the various research groups
      Location: Adriatico Guest House Kastler Lecture Hall
      • 09:30 Historic of RAGAAD, presentation of the various research groups 3h0'
    • 12:30 - 14:00 Lunch Break
      Location: Adriatico Guest House Kastler Lecture Hall
      • 12:30 Lunch Break 1h30'
    • 14:00 - 16:00 Discussions about the network objectives, designation of a small working group in charge of the texts
      Location: Adriatico Guest House Kastler Lecture Hall
      • 14:00 Discussions about the network objectives, designation of a small working group in charge of the texts 2h0'
    • 16:00 - 16:30 Break
      Location: Adriatico Guest House Kastler Lecture Hall
      • 16:00 Break 30'
    • 16:30 - 17:00 Espaces poids d'une algèbre de Malcev
      Location: Adriatico Guest House Kastler Lecture Hall
      • 16:30 Espaces poids d'une algèbre de Malcev 30'
        Speaker: A. Koulibaly (University of Ouagadougou, Burkina Faso)
    • 17:00 - 17:30 Quasi-bigèbres de Lie et algèbres quasi-Batalin-Vilkovisky différentielles
      Location: Adriatico Guest House Kastler Lecture Hall
      • 17:00 Quasi-bigèbres de Lie et algèbres quasi-Batalin-Vilkovisky différentielles 30'
        Speaker: M. Bangoura (University of Conakry, Guinea)
    • 17:30 - 18:30 On classes of duo rings
      Location: Adriatico Guest House Kastler Lecture Hall
      • 17:30 On classes of duo rings 1h0'
        Speaker: M. Sanghare (Université Cheikh Anta Diop de Dakar, Senegal)
  • Sunday, 10 August 2003
    • 09:00 - 09:30 Extensions of partial operations and relations
      Location: Adriatico Guest House Kastler Lecture Hall
      • 09:00 Extensions of partial operations and relations 30'
        Speaker: G. Kientega (University of Ouagadougou, Burkina Faso)
    • 09:30 - 10:00 Calculs différentiels sur des algèbres de dimension finie
      Location: Adriatico Guest House Kastler Lecture Hall
      • 09:30 Calculs différentiels sur des algèbres de dimension finie 30'
        Speaker: A.B. Kpamegan (Université d'Abomey-Calavi, Cotonou, Bénin)
    • 10:00 - 10:30 Differential algebra and applications
      Location: Adriatico Guest House Kastler Lecture Hall
      • 10:00 Differential algebra and applications 30'
        Speaker: B. Sadik (University of Semlalia, Marrakech, Morocco)
    • 10:30 - 11:00 Break
      Location: Adriatico Guest House Kastler Lecture Hall
      • 10:30 Break 30'
    • 11:00 - 12:30 Presentation by the working group of the synthesis of the discussions
      Location: Adriatico Guest House Kastler Lecture Hall
      • 11:00 Presentation by the working group of the synthesis of the discussions 1h30'
    • 12:30 - 14:00 Lunch Break
      Location: Adriatico Guest House Kastler Lecture Hall
      • 12:30 Lunch Break 1h30'
    • 14:00 - 14:30 Algebraic structures in genetics
      Location: Adriatico Guest House Kastler Lecture Hall
      • 14:00 Algebraic structures in genetics 30'
        Speaker: I. Katambe (University of Niamey, Niger)
    • 14:30 - 15:00 Weak super-representations of Malcev super-algebras
      Location: Adriatico Guest House Kastler Lecture Hall
      • 14:30 Weak super-representations of Malcev super-algebras 30'
        Speaker: M.-F. Ouedraogo (University of Ouagadougou, Burkina Faso)
    • 15:00 - 15:30 Global analytic functions
      Location: Adriatico Guest House Kastler Lecture Hall
      • 15:00 Global analytic functions 30'
        Speaker: F. Broglia (Università di Pisa, Italy)
    • 15:30 - 16:00 Break
      Location: Adriatico Guest House Kastler Lecture Hall
      • 15:30 Break 30'
    • 16:00 - 18:00 Conclusions and official starting of the network
      Location: Adriatico Guest House Kastler Lecture Hall
      • 16:00 Conclusions and official starting of the network 2h0'
    • 19:00 - 20:30 Party
      Location: Main Building Cafeteria
      • 19:00 Party 1h30'
  • Monday, 11 August 2003
    • 09:00 - 10:00 Algorithms in real algebraic geometry (1)
      • 09:00 Algorithms in real algebraic geometry (1) 1h0'
        Speaker: M.-F. Roy (Université de Rennes I, France)
        Material: lecture notes
    • 10:00 - 10:15 Break
      • 10:00 Break 15'
    • 10:15 - 11:15 Constrained optimization and quadratic mappings (1)
      • 10:15 Constrained optimization and quadratic mappings (1) 1h0'
        Speaker: A. Agrachev (SISSA, Trieste, Italy)
        Material: lecture notes
    • 11:15 - 11:30 Break
      • 11:15 Break 15'
    • 11:30 - 12:30 Geometry and computer vision (1)
      • 11:30 Geometry and computer vision (1) 1h0'
        Speaker: Y. Yomdin (The Weizmann Ins. of Science, Rehovot, Israel)
        Material: lecture notes
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Applications of real algebraic geometry to computer-aided geometric design (1)
      • 14:00 Applications of real algebraic geometry to computer-aided geometric design (1) 1h0'
        Speaker: L. Gonzalez-Vega (Universidad de Cantabria, Santander, Spain)
        Material: transparencies
    • 15:00 - 15:15 Break
      • 15:00 Break 15'
    • 15:15 - 16:45 Computer Laboratory session
      Location: Computer Lab. (M)
      • 15:15 Computer Laboratory session 1h30'
  • Tuesday, 12 August 2003
    • 09:00 - 10:00 Algorithms in real algebraic geometry (2)
      • 09:00 Algorithms in real algebraic geometry (2) 1h0'
        Speaker: M.-F. Roy (Université de Rennes I, France)
        Material: lecture notes
    • 10:00 - 10:15 Break
      • 10:00 Break 15'
    • 10:15 - 11:15 Polynomial system solving in the real case (1)
      • 10:15 Polynomial system solving in the real case (1) 1h0'
        Speaker: F. Rouillier (Projet SPACES and Equipe Calfor, Paris, France)
        Material: transparencies
    • 11:15 - 11:30 Break
      • 11:15 Break 15'
    • 11:30 - 12:30 Geometry and computer vision (2)
      • 11:30 Geometry and computer vision (2) 1h0'
        Speaker: Y. Yomdin (The Weizmann Ins. of Science, Rehovot, Israel)
        Material: lecture notes
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Applications of real algebraic geometry to computer-aided geometric design (2)
      • 14:00 Applications of real algebraic geometry to computer-aided geometric design (2) 1h0'
        Speaker: L. Gonzalez-Vega (Universidad de Cantabria, Santander, Spain)
        Material: lecture notes
    • 15:00 - 15:15 Break
      • 15:00 Break 15'
    • 15:15 - 16:45 Computer Laboratory session
      Location: Computer Lab. (M)
      • 15:15 Computer Laboratory session 1h30'
  • Wednesday, 13 August 2003
    • 09:00 - 10:00 Constrained optimization and quadratic mappings (2)
      • 09:00 Constrained optimization and quadratic mappings (2) 1h0'
        Speaker: A. Agrachev (SISSA, Trieste, Italy)
        Material: lecture notes
    • 10:00 - 10:15 Break
      • 10:00 Break 15'
    • 10:15 - 11:15 Polynomial system solving in the real case (2)
      • 10:15 Polynomial system solving in the real case (2) 1h0'
        Speaker: F. Rouillier (Projet SPACES and Equipe Calfor, Paris, France)
        Material: transparencies
    • 11:15 - 11:30 Break
      • 11:15 Break 15'
    • 11:30 - 12:30 Geometry and computer vision (3)
      • 11:30 Geometry and computer vision (3) 1h0'
        Speaker: Y. Yomdin (The Weizmann Ins. of Science, Rehovot, Israel)
        Material: lecture notes
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Applications of real algebraic geometry to computer-aided geometric design (3)
      • 14:00 Applications of real algebraic geometry to computer-aided geometric design (3) 1h0'
        Speaker: L. Gonzalez-Vega (Universidad de Cantabria, Santander, Spain)
        Material: lecture notes
    • 15:00 - 15:15 Break
      • 15:00 Break 15'
    • 15:15 - 16:45 Computer Laboratory session
      Location: Computer Lab. (M)
      • 15:15 Computer Laboratory session 1h30'
  • Thursday, 14 August 2003
    • 09:00 - 10:00 Constrained optimization and quadratic mappings (3)
      • 09:00 Constrained optimization and quadratic mappings (3) 1h0'
        Speaker: A. Agrachev (SISSA, Trieste, Italy)
        Material: lecture notes
    • 10:00 - 10:15 Break
      • 10:00 Break 15'
    • 10:15 - 11:15 Polynomial system solving in the real case (3)
      • 10:15 Polynomial system solving in the real case (3) 1h0'
        Speaker: F. Rouillier (Projet SPACES and Equipe Calfor, Paris, France)
        Material: transparencies
    • 11:15 - 11:30 Break
      • 11:15 Break 15'
    • 11:30 - 12:30 Geometry and computer vision (4)
      • 11:30 Geometry and computer vision (4) 1h0'
        Speaker: Y. Yomdin (The Weizmann Ins. of Science, Rehovot, Israel)
        Material: lecture notes
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Applications of real algebraic geometry to computer-aided geometric design (4)
      • 14:00 Applications of real algebraic geometry to computer-aided geometric design (4) 1h0'
        Speaker: L. Gonzalez-Vega (Universidad de Cantabria, Santander, Spain)
        Material: lecture notes
    • 15:00 - 15:15 Break
      • 15:00 Break 15'
    • 15:15 - 16:45 Computer Laboratory session
      Location: Computer Lab. (M)
      • 15:15 Computer Laboratory session 1h30'
  • Friday, 15 August 2003
    • 09:00 - 10:00 Algorithms in real algebraic geometry (3)
      • 09:00 Algorithms in real algebraic geometry (3) 1h0'
        Speaker: M.-F. Roy (Université de Rennes I, France)
        Material: lecture notes
    • 10:00 - 10:15 Break
      • 10:00 Break 15'
    • 10:15 - 11:15 Polynomial system solving in the real case (4)
      • 10:15 Polynomial system solving in the real case (4) 1h0'
        Speaker: F. Rouillier (Projet SPACES and Equipe Calfor, Paris, France)
        Material: transparencies
    • 11:15 - 11:30 Break
      • 11:15 Break 15'
    • 11:30 - 12:30 Constrained optimization and quadratic mappings (4)
      • 11:30 Constrained optimization and quadratic mappings (4) 1h0'
        Speaker: A. Agrachev (SISSA, Trieste, Italy)
        Material: lecture notes
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Algorithms in real algebraic geometry (4)
      • 14:00 Algorithms in real algebraic geometry (4) 1h0'
        Speaker: M.-F. Roy (Université de Rennes I, France)
        Material: lecture notes
  • Monday, 18 August 2003
    • 09:00 - 10:00 On generalized critical values of polynomial maps (1)
      • 09:00 On generalized critical values of polynomial maps (1) 1h0'
        Speaker: K. Kurdyka (Université de Savoie, Le Bourget-du-Lac, France)
        Material: lecture notes
    • 10:00 - 10:15 Break
      • 10:00 Break 15'
    • 10:15 - 11:15 On some subrings of formal power series
      • 10:15 On some subrings of formal power series 1h0'
        Speaker: A. El Khadiri (Université Ibn Tofail, Kénitra, Morocco)
        Material: lecture notes
    • 11:15 - 11:30 Break
      • 11:15 Break 15'
    • 11:30 - 12:30 Nilpotent bases for distributions generating special multi-flags, nilpotency orders, and related algorithmic & combinatorial issues
      • 11:30 Nilpotent bases for distributions generating special multi-flags, nilpotency orders, and related algorithmic & combinatorial issues 1h0'
        Speaker: P. Mormul (University of Warsaw, Poland)
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 On topology of families of trajectories of analytic gradient vector fields (1)
      • 14:00 On topology of families of trajectories of analytic gradient vector fields (1) 1h0'
        Speaker: Z.S. Szafraniec (University of Gdansk, Poland)
    • 15:00 - 15:30 Break
      • 15:00 Break 30'
    • 15:30 - 16:30 The existence of Morse functions on sets definable in o-minimal structures
      • 15:30 The existence of Morse functions on sets definable in o-minimal structures 1h0'
        Speaker: Ta Le Loi (Dalat University, Vietnam)
        Material: lecture notes
  • Tuesday, 19 August 2003
    • 09:00 - 10:00 Virtual roots of real polynomials (1)
      • 09:00 Virtual roots of real polynomials (1) 1h0'
        Speaker: H. Lombardi (Université de Franche-Comté, Besançon, France)
    • 10:00 - 10:15 Break
      • 10:00 Break 15'
    • 10:15 - 11:15 On generalized critical values of polynomial maps (2)
      • 10:15 On generalized critical values of polynomial maps (2) 1h0'
        Speaker: K. Kurdyka (Université de Savoie, Le Bourget-du-Lac, France)
        Material: lecture notes
    • 11:15 - 11:30 Break
      • 11:15 Break 15'
    • 11:30 - 12:30 Hankel form reduction and Berlekamp Massey algorithm
      • 11:30 Hankel form reduction and Berlekamp Massey algorithm 1h0'
        Speaker: N. Chaouachi (Ben Atti) (Université Tunis II, Tunisia)
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Joining two points in a compact connected component of an algebraic set via gradient trajectories
      • 14:00 Joining two points in a compact connected component of an algebraic set via gradient trajectories 1h0'
        Speaker: D. D'Acunto (Universidad Complutense de Madrid, Spain)
    • 15:00 - 15:30 Break
      • 15:00 Break 30'
    • 15:30 - 16:30 Description of the Jelonek set
      • 15:30 Description of the Jelonek set 1h0'
        Speaker: A.H. Stasica (Jagiellonian University, Cracow, Poland)
  • Wednesday, 20 August 2003
    • 09:00 - 10:00 Relative Poincaré lemma for singular varieties and quasi-homogeneity
      • 09:00 Relative Poincaré lemma for singular varieties and quasi-homogeneity 1h0'
        Speaker: W. Domitrz (Warsaw University of Technology, Poland)
    • 10:00 - 10:15 Break
      • 10:00 Break 15'
    • 10:15 - 11:15 On algebraic functions
      • 10:15 On algebraic functions 1h0'
        Speaker: A. Benhissi (Faculté des Sciences de Monastir, Tunisia)
    • 11:15 - 11:30 Break
      • 11:15 Break 15'
    • 11:30 - 12:30 Number of irreducible elements in Z/nZ
      • 11:30 Number of irreducible elements in Z/nZ 1h0'
        Speaker: B. Kojok (University of Saint-Joseph, Beirut, Lebanon)
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Real algebraic geometry from a metric viewpoint
      • 14:00 Real algebraic geometry from a metric viewpoint 1h0'
        Speaker: L. Birbrair (Univ. Federal do Ceará, Fortaleza, Brazil)
    • 15:00 - 15:15 Break
      • 15:00 Break 15'
    • 15:15 - 15:45 A rational real Nuls Stellensatz for univariate polynomials
      • 15:15 A rational real Nuls Stellensatz for univariate polynomials 30'
        Speaker: H. Warou (Université de Niamey, Niger)
    • 15:45 - 16:00 Break
      • 15:45 Break 15'
    • 16:00 - 16:30 Quantifier elimination for boolean products of real closed valuation rings
      • 16:00 Quantifier elimination for boolean products of real closed valuation rings 30'
        Speaker: J.I. Guier Acosta (Universidad de Costa Rica, San Pedro, Costa Rica)
  • Thursday, 21 August 2003
    • 09:00 - 10:00 On the dual of a plane projective curve
      • 09:00 On the dual of a plane projective curve 1h0'
        Speaker: D. Bouziane (Université Cadi Ayyad, Marrakech, Morocco)
    • 10:00 - 10:15 Break
      • 10:00 Break 15'
    • 10:15 - 11:15 Genericity of a_F and w_F regularity conditions and equisingularity of functions in a family of functions definable in o-minimal structures
      • 10:15 Genericity of a_F and w_F regularity conditions and equisingularity of functions in a family of functions definable in o-minimal structures 1h0'
        Speaker: Ta Le Loi (Dalat University, Vietnam)
        Material: lecture notes
    • 11:15 - 11:30 Break
      • 11:15 Break 15'
    • 11:30 - 12:30 The theorem of the complement for a quasi subanalytic set
      • 11:30 The theorem of the complement for a quasi subanalytic set 1h0'
        Speaker: A. El Khadiri (Université Ibn Tofail, Kénitra, Morocco)
        Material: lecture notes
    • 12:30 - 14:00 Lunch Break
      • 12:30 Lunch Break 1h30'
    • 14:00 - 15:00 Estimates on the number of complex zeros of solutions of linear differential equations via real algebraic geometry
      • 14:00 Estimates on the number of complex zeros of solutions of linear differential equations via real algebraic geometry 1h0'
        Speaker: A. Grigoriev (SISSA, Trieste, Italy)
        Material: lecture notes
    • 15:00 - 15:30 Break
      • 15:00 Break 30'
    • 15:30 - 16:30 Definable incomplete expansions of ordered fields without open-definable gaps
      • 15:30 Definable incomplete expansions of ordered fields without open-definable gaps 1h0'
        Speaker: M. Moniri (Tarbiat Modarres University, Tehran, Iran)
  • Friday, 22 August 2003
    • 09:00 - 10:00 Density of subanalytic sets and Whitney conditions
      • 09:00 Density of subanalytic sets and Whitney conditions 1h0'
        Speaker: G. Valette (Université de Provence, Marseille, France)
    • 10:00 - 10:15 Break
      • 10:00 Break 15'
    • 10:15 - 11:15 On topology of families of trajectories of analytic gradient vector fields (2)
      • 10:15 On topology of families of trajectories of analytic gradient vector fields (2) 1h0'
        Speaker: Z.S. Szafraniec (University of Gdansk, Poland)
    • 11:15 - 11:30 Break
      • 11:15 Break 15'
    • 11:30 - 12:30 Virtual roots of real polynomials (2)
      • 11:30 Virtual roots of real polynomials (2) 1h0'
        Speaker: H. Lombardi (Université de Franche-Comté, Besançon, France)