Project MTM2011-25816-C02-00
IV Seminar on "Algorithms and Aplications in Algebraic Geometry"
Program

    General Scheme for the talks

    Each talk will have two different parts. The first (circa 15 minutes) will report on the state of the art of the research in the assigned goals. The second will consists in a short mathematical presentation of the main problems, achievements and on going work on the topic.


    The workshop will take place at: Seminario E22, Segunda Planta (Este), Escuela Politécnica Superior, Universidad de Alcalá


    Wednesday, Nov. 26


  • 21h. Meeting at the Residencia San Ildefonso.


    • Thursday, Nov. 27


  • 9:00-9:15. R. Sendra: Presentation of the Seminar. Some general facts about the current state of the art regarding the projects.
  • 9:15-10:00. C. Villarino: Ultraquadrics; state of the art of goals 1.1.1, 1.1.2
  • 10:00-10:45. D. Sevilla: Normality and Rational covers; state of the art of goal 1.1.3
  • 10:45-11:15 Break
  • 11:15-12:00. L. González Vega: Elimination by values: subresultants through interpolation and the Bezout matrix in the Hermite Basis; state of the art of goal 1.1.4.
  • 12:00-12:30. L. González Vega: Topology by values: the cases of mixed arrangements of curves presented implicitely, parametrically and/or geometrically (offsets); state of the art of goal 2.3.2.
  • 12:30-13:00. L.F. Tabera: Tropical geometry; state of the art of goal 1.3.1, 1.3.2 ( through Skype )
  • 13:00-16:00 Break.
  • 16:00-16:30. J. Sendra: Conchoidal constructions and approximate parametrizations; state of the art of goals 2.1.1, 2.1.2 and 2.2.1.
  • 16:30-17:00. M. Fioravanti: Parametrization of the bisector surface of two low degree surfaces; state of the art of goal 2.1.3.
  • 17:00-17:30 Break
  • 17:30-18:15. M. Abánades and F. Botana: Developing and implementing a free open source library for reasoning with 2D and 3D geometric constructions on GeoGebra; state of the art of goal 2.4.2
  • 18:15-18:45. J. Caravantes: Closed form solutions to indeterminate linear systems with special attention to positioning problems; state of the art of goal 2.5.1.
  • 21:00 Dinner (each person pays individually)


    • Friday, Nov. 28


  • 9:15-10:00. F. Winkler: Symbolic solutions for algebraic differential equations; state of the art of goal 1.2.1
  • 10:00-10:30. F. Botana, T. Recio: Automatic reasoning in geometry: proving and locus finding; state of the art of goal 2.4.1
  • 10:30-11:00 Break
  • 11:00-11:45. J.G. Alcazar: Computing the shape of algebraic varieties; state of the art of goals 2.3.1, 2.3.2
  • 11:45-12:30. S. Rueda: Differential resultants: state of the art of goal 1.2.2
  • 12:30-13:00. General Discussion/ Closing words by L. González Vega on the future project.