Summer School and Conference on Real Algebraic Geometry and its Applications | (smr 1537)
Go to day
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08:30 - 10:00
Registration
Location: Main Building, Lobby -
08:30
Registration
1h30'
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08:30
Registration
1h30'
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14:00 - 14:15
Opening
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14:00
Opening
15'
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14:00
Opening
15'
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14:15 - 15:15
Algebraic and semialgebraic sets (1)
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14:15
Algebraic and semialgebraic sets (1)
1h0'
Speaker: M. Coste (Université de Rennes I, France) Material: lecture notes
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14:15
Algebraic and semialgebraic sets (1)
1h0'
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15:15 - 15:30
Break
- 15:15 Break 15'
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15:30 - 16:30
Description of semialgebraic sets (1)
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15:30
Description of semialgebraic sets (1)
1h0'
Speaker: C. Andradas Heranz (Universidad Complutense de Madrid, Spain) Material: lecture notes
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15:30
Description of semialgebraic sets (1)
1h0'
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08:30 - 10:00
Registration
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09:00 - 10:00
Topology of real algebraic curves (1)
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09:00
Topology of real algebraic curves (1)
1h0'
Speaker: I. Itenberg (Université de Rennes I, France) Material: lecture notes
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09:00
Topology of real algebraic curves (1)
1h0'
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10:00 - 10:15
Break
- 10:00 Break 15'
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10:15 - 11:15
Sums of squares, moments and optimization (1)
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10:15
Sums of squares, moments and optimization (1)
1h0'
Speaker: M. Schweighofer (Université de Rennes I, France) Material: transparencies
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10:15
Sums of squares, moments and optimization (1)
1h0'
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11:15 - 11:30
Break
- 11:15 Break 15'
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11:30 - 12:30
Algebraic and semialgebraic sets (2)
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11:30
Algebraic and semialgebraic sets (2)
1h0'
Speaker: M. Coste (Université de Rennes I, France) Material: lecture notes
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11:30
Algebraic and semialgebraic sets (2)
1h0'
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12:30 - 14:00
Lunch Break
- 12:30 Lunch Break 1h30'
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14:00 - 15:00
Description of semialgebraic sets (2)
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14:00
Description of semialgebraic sets (2)
1h0'
Speaker: C. Andradas Heranz (Universidad Complutense de Madrid, Spain) Material: lecture notes
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14:00
Description of semialgebraic sets (2)
1h0'
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15:00 - 15:30
Break
- 15:00 Break 30'
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15:30 - 16:30
Topology of real algebraic curves (2)
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15:30
Topology of real algebraic curves (2)
1h0'
Speaker: I. Itenberg (Université de Rennes I, France) Material: lecture notes
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15:30
Topology of real algebraic curves (2)
1h0'
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09:00 - 10:00
Topology of real algebraic curves (1)
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-
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
-
09:00
Sums of squares, moments and optimization (2)
1h0'
-
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
-
10:15
Algebraic and semialgebraic sets (3)
1h0'
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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
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11:30
Description of semialgebraic sets (3)
1h0'
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12:30 - 14:00
Lunch Break
- 12:30 Lunch Break 1h30'
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14:00 - 15:00
Topology of real algebraic curves (3)
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14:00
Topology of real algebraic curves (3)
1h0'
Speaker: I. Itenberg (Université de Rennes I, France) Material: lecture notes
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14:00
Topology of real algebraic curves (3)
1h0'
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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
-
15:30
Sums of squares, moments and optimization (3)
1h0'
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09:00 - 10:00
Sums of squares, moments and optimization (2)
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-
09:00 - 10:00
Algebraic and semialgebraic sets (4)
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09:00
Algebraic and semialgebraic sets (4)
1h0'
Speaker: M. Coste (Université de Rennes I, France) Material: lecture notes
-
09:00
Algebraic and semialgebraic sets (4)
1h0'
-
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
-
10:15
Description of semialgebraic sets (4)
1h0'
-
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
-
11:30
Sums of squares, moments and optimization (4)
1h0'
-
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
-
14:00
Topology of real algebraic curves (4)
1h0'
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15:00 - 15:30
Break
- 15:00 Break 30'
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15:30 - 15:45
Brief presentation of the Third World Academy of Sciences
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15:30
Brief presentation of the Third World Academy of Sciences
15'
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15:30
Brief presentation of the Third World Academy of Sciences
15'
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09:00 - 10:00
Algebraic and semialgebraic sets (4)
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-
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
-
09:00
Algebraic and semialgebraic sets (5)
1h0'
-
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
-
10:15
Description of semialgebraic sets (5)
1h0'
-
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
-
11:30
Sums of squares, moments and optimization (5)
1h0'
-
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
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14:00
Topology of real algebraic curves (5)
1h0'
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18:30 - 20:00
Welcome, first contact
Location: Adriatico Guest House (Terrace) -
18:30
Welcome, first contact
1h30'
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18:30
Welcome, first contact
1h30'
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09:00 - 10:00
Algebraic and semialgebraic sets (5)
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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'
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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'
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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'
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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'
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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)
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16:30
Espaces poids d'une algèbre de Malcev
30'
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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)
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17:00
Quasi-bigèbres de Lie et algèbres quasi-Batalin-Vilkovisky différentielles
30'
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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)
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17:30
On classes of duo rings
1h0'
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09:30 - 12:30
Historic of RAGAAD, presentation of the various research groups
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-
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)
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09:00
Extensions of partial operations and relations
30'
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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)
-
09:30
Calculs différentiels sur des algèbres de dimension finie
30'
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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)
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10:00
Differential algebra and applications
30'
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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'
-
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)
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14:00
Algebraic structures in genetics
30'
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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)
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14:30
Weak super-representations of Malcev super-algebras
30'
-
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)
-
15:00
Global analytic functions
30'
-
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'
-
16:00
Conclusions and official starting of the network
2h0'
-
19:00 - 20:30
Party
Location: Main Building Cafeteria - 19:00 Party 1h30'
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09:00 - 09:30
Extensions of partial operations and relations
-
-
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
-
09:00
Algorithms in real algebraic geometry (1)
1h0'
-
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
-
10:15
Constrained optimization and quadratic mappings (1)
1h0'
-
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
-
11:30
Geometry and computer vision (1)
1h0'
-
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
-
14:00
Applications of real algebraic geometry to computer-aided geometric design (1)
1h0'
-
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'
-
15:15
Computer Laboratory session
1h30'
-
09:00 - 10:00
Algorithms in real algebraic geometry (1)
-
-
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
-
09:00
Algorithms in real algebraic geometry (2)
1h0'
-
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
-
10:15
Polynomial system solving in the real case (1)
1h0'
-
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
-
11:30
Geometry and computer vision (2)
1h0'
-
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
-
14:00
Applications of real algebraic geometry to computer-aided geometric design (2)
1h0'
-
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'
-
15:15
Computer Laboratory session
1h30'
-
09:00 - 10:00
Algorithms in real algebraic geometry (2)
-
-
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
-
09:00
Constrained optimization and quadratic mappings (2)
1h0'
-
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
-
10:15
Polynomial system solving in the real case (2)
1h0'
-
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
-
11:30
Geometry and computer vision (3)
1h0'
-
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
-
14:00
Applications of real algebraic geometry to computer-aided geometric design (3)
1h0'
-
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'
-
15:15
Computer Laboratory session
1h30'
-
09:00 - 10:00
Constrained optimization and quadratic mappings (2)
-
-
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
-
09:00
Constrained optimization and quadratic mappings (3)
1h0'
-
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
-
10:15
Polynomial system solving in the real case (3)
1h0'
-
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
-
11:30
Geometry and computer vision (4)
1h0'
-
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
-
14:00
Applications of real algebraic geometry to computer-aided geometric design (4)
1h0'
-
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'
-
15:15
Computer Laboratory session
1h30'
-
09:00 - 10:00
Constrained optimization and quadratic mappings (3)
-
-
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
-
09:00
Algorithms in real algebraic geometry (3)
1h0'
-
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
-
10:15
Polynomial system solving in the real case (4)
1h0'
-
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
-
11:30
Constrained optimization and quadratic mappings (4)
1h0'
-
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
-
14:00
Algorithms in real algebraic geometry (4)
1h0'
-
09:00 - 10:00
Algorithms in real algebraic geometry (3)
-
-
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
-
09:00
On generalized critical values of polynomial maps (1)
1h0'
-
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
-
10:15
On some subrings of formal power series
1h0'
-
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)
-
11:30
Nilpotent bases for distributions generating special multi-flags, nilpotency orders, and related algorithmic & combinatorial issues
1h0'
-
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)
-
14:00
On topology of families of trajectories of analytic gradient vector fields (1)
1h0'
-
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
-
15:30
The existence of Morse functions on sets definable in o-minimal structures
1h0'
-
09:00 - 10:00
On generalized critical values of polynomial maps (1)
-
-
09:00 - 10:00
Virtual roots of real polynomials (1)
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09:00
Virtual roots of real polynomials (1)
1h0'
Speaker: H. Lombardi (Université de Franche-Comté, Besançon, France)
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09:00
Virtual roots of real polynomials (1)
1h0'
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10:00 - 10:15
Break
- 10:00 Break 15'
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10:15 - 11:15
On generalized critical values of polynomial maps (2)
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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
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10:15
On generalized critical values of polynomial maps (2)
1h0'
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11:15 - 11:30
Break
- 11:15 Break 15'
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11:30 - 12:30
Hankel form reduction and Berlekamp Massey algorithm
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11:30
Hankel form reduction and Berlekamp Massey algorithm
1h0'
Speaker: N. Chaouachi (Ben Atti) (Université Tunis II, Tunisia)
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11:30
Hankel form reduction and Berlekamp Massey algorithm
1h0'
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12:30 - 14:00
Lunch Break
- 12:30 Lunch Break 1h30'
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14:00 - 15:00
Joining two points in a compact connected component of an algebraic set via gradient trajectories
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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)
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14:00
Joining two points in a compact connected component of an algebraic set via gradient trajectories
1h0'
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15:00 - 15:30
Break
- 15:00 Break 30'
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15:30 - 16:30
Description of the Jelonek set
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15:30
Description of the Jelonek set
1h0'
Speaker: A.H. Stasica (Jagiellonian University, Cracow, Poland)
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15:30
Description of the Jelonek set
1h0'
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09:00 - 10:00
Virtual roots of real polynomials (1)
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-
09:00 - 10:00
Relative Poincaré lemma for singular varieties and quasi-homogeneity
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09:00
Relative Poincaré lemma for singular varieties and quasi-homogeneity
1h0'
Speaker: W. Domitrz (Warsaw University of Technology, Poland)
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09:00
Relative Poincaré lemma for singular varieties and quasi-homogeneity
1h0'
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10:00 - 10:15
Break
- 10:00 Break 15'
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10:15 - 11:15
On algebraic functions
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10:15
On algebraic functions
1h0'
Speaker: A. Benhissi (Faculté des Sciences de Monastir, Tunisia)
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10:15
On algebraic functions
1h0'
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11:15 - 11:30
Break
- 11:15 Break 15'
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11:30 - 12:30
Number of irreducible elements in Z/nZ
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11:30
Number of irreducible elements in Z/nZ
1h0'
Speaker: B. Kojok (University of Saint-Joseph, Beirut, Lebanon)
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11:30
Number of irreducible elements in Z/nZ
1h0'
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12:30 - 14:00
Lunch Break
- 12:30 Lunch Break 1h30'
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14:00 - 15:00
Real algebraic geometry from a metric viewpoint
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14:00
Real algebraic geometry from a metric viewpoint
1h0'
Speaker: L. Birbrair (Univ. Federal do Ceará, Fortaleza, Brazil)
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14:00
Real algebraic geometry from a metric viewpoint
1h0'
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15:00 - 15:15
Break
- 15:00 Break 15'
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15:15 - 15:45
A rational real Nuls Stellensatz for univariate polynomials
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15:15
A rational real Nuls Stellensatz for univariate polynomials
30'
Speaker: H. Warou (Université de Niamey, Niger)
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15:15
A rational real Nuls Stellensatz for univariate polynomials
30'
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15:45 - 16:00
Break
- 15:45 Break 15'
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16:00 - 16:30
Quantifier elimination for boolean products of real closed valuation rings
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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)
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16:00
Quantifier elimination for boolean products of real closed valuation rings
30'
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09:00 - 10:00
Relative Poincaré lemma for singular varieties and quasi-homogeneity
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-
09:00 - 10:00
On the dual of a plane projective curve
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09:00
On the dual of a plane projective curve
1h0'
Speaker: D. Bouziane (Université Cadi Ayyad, Marrakech, Morocco)
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09:00
On the dual of a plane projective curve
1h0'
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10:00 - 10:15
Break
- 10:00 Break 15'
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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
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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
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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'
-
11:15 - 11:30
Break
- 11:15 Break 15'
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11:30 - 12:30
The theorem of the complement for a quasi subanalytic set
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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
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11:30
The theorem of the complement for a quasi subanalytic set
1h0'
-
12:30 - 14:00
Lunch Break
- 12:30 Lunch Break 1h30'
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14:00 - 15:00
Estimates on the number of complex zeros of solutions of linear differential equations via real algebraic geometry
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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
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14:00
Estimates on the number of complex zeros of solutions of linear differential equations via real algebraic geometry
1h0'
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15:00 - 15:30
Break
- 15:00 Break 30'
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15:30 - 16:30
Definable incomplete expansions of ordered fields without open-definable gaps
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15:30
Definable incomplete expansions of ordered fields without open-definable gaps
1h0'
Speaker: M. Moniri (Tarbiat Modarres University, Tehran, Iran)
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15:30
Definable incomplete expansions of ordered fields without open-definable gaps
1h0'
-
09:00 - 10:00
On the dual of a plane projective curve
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-
09:00 - 10:00
Density of subanalytic sets and Whitney conditions
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09:00
Density of subanalytic sets and Whitney conditions
1h0'
Speaker: G. Valette (Université de Provence, Marseille, France)
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09:00
Density of subanalytic sets and Whitney conditions
1h0'
-
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)
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10:15
On topology of families of trajectories of analytic gradient vector fields (2)
1h0'
Speaker: Z.S. Szafraniec (University of Gdansk, Poland)
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10:15
On topology of families of trajectories of analytic gradient vector fields (2)
1h0'
-
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)
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11:30
Virtual roots of real polynomials (2)
1h0'
-
09:00 - 10:00
Density of subanalytic sets and Whitney conditions