summer course, second announcement

[Francisco Santos]

Second announcement of the course
 
              TRIANGULATIONS OF POLYHEDRA AND POINT SETS
 
                  Santander (SPAIN), July 3-7, 2000

The Web page http://matsun1.matesco.unican.es/~santos/triancourse has been
updated, including information on registration and scholarships. There are 
two urgent things that students willing to come should do:

 - reserve accomodation (you can get information on the web page and can
contact F. Santos santos at matesco.unican.es for help).

 - apply for a fee reduction from University of Cantabria. Deadline for
this is MAY 20 and some documentation has to be snail-mailed. Instructions
on the web page.


  Lecturers: 
 
  Jesus A. de Loera, assistant professor, U. of California at Davis.
  Joerg Rambau, scientific assistant, 
                      Konrad-Zuse-Zentrum fuer Informationstechnik, Berlin.
  Francisco Santos, associate professor, U. de Cantabria, Santander.
 
 A short description of the course and tentative program is included below.
 For more information, including travel hints, registration, accomodation,
 etc. see:  http://matsun1.matesco.unican.es/~santos/triancourse
 
 SHORT DESCRIPTION OF THE COURSE:
 -------------------------------
 The topic are optimization and enumeration problems in the set of all
 triangulations of a polytope or point configuration. The course is
 addressed to graduate students and researches in mathematics
 (specially algebra, geometry and applied mathematics), computer
 science (complexity theory, algorithmics) and some parts of engineering
 (those related to GIS, CAD, etc). On the theoretical side, the core of the
 course is the theory of secondary and universal polytopes, and the notion
 of geometric bistellar flip. 
 
 The pre-requisites from the student are, basically, linear algebra
 and affine geometry. Some familiarity with projective geometry,
 theoretical combinatorics and complexity of algorithms would be desirable,
 but not strictly necessary. For the applications in algebraic geometry
 and topology mentioned in the last day (see the program below) some
 knowledge of these areas is needed, but the rest of the course can be
 followed without them.
 
 TENTATIVE PROGRAM:
 -----------------
 Monday, July 3:
 09:00 h. - 09:30 h. WELCOME.
 09:30 h. - 11:30 h. FUNDAMENTAL NOTIONS AND MOTIVATION.
                     JESUS DE LOERA
 11:30 h. - 12:00 h. BREAK
 12:00 h. - 14:00 h. LIFE IN TWO DIMENSIONS. FLIPS.
                     FRANCISCO SANTOS
 
 Tuesday, July 4
 09:30 h. - 11:30 h. COMBINATORICS OF POLYHEDRAL SUBDIVISIONS. GALE
                     DIAGRAMS AND CHAMBERS.
                     JORG RAMBAU
 11:30 h. - 12:00 h. BREAK 
 12:00 h. - 14:00 h. SECONDARY POLYTOPES. BISTELLAR FLIPS.
                     JORG RAMBAU
 
 Wednesday, July 5
 09:30 h. - 11:30 h. THE UNIVERSAL POLYTOPE: A TOOL FOR OPTIMIZATION.
                     JESUS DE LOERA 
 11:30 h. - 12:00 h. BREAK
 12:00 h. - 14:00 h. OPTIMIZATION. MINIMAL AND MAXIMAL TRIANGULATIONS.
                     JESUS DE LOERA
 
 Thursday, July 6
 09:30 h. - 11:30 h. THE BEST OF WORLDS: CYCLIC POLYTOPES.
                     JORG RAMBAU
 11:30 h. - 12:00 h. BREAK
 12:00 h. - 14:00 h. A CRUCIAL EXAMPLE: PRODUCTS OF SIMPLICES.
                     TRIANGULATIONS WITHOUT FLIPS. 
                     FRANCISCO SANTOS
 
 Friday, July 7
 09:30 h. - 11:30 h. FIBER POLYTOPES AND BEYOND.
                     JORG RAMBAU
 11:30 h. - 12:00 h. BREAK
 12:00 h. - 14:00 h. APPLICATIONS IN ALGEBRAIC GEOMETRY.
                     JESUS DE LOERA
 14:00 h. - 14:15 h. DELIVER OF DIPLOMAS
 
 
 +--------------------------------------------------------+
 | Francisco Santos              santos at matesco.unican.es |
 | Departamento de Matematicas, Estadistica y Computacion |
 | Universidad de Cantabria,          Tel: +34-942-201522 |
 | E-39005 Santander, SPAIN           Fax: +34-942-201402 |
 | http://www.matesco.unican.es/~santos                   |
 +--------------------------------------------------------+



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