Banff International Research Station

Workshop on Algebraic Geometry and Geometric Modeling

27 January—1 February 2013

Ron Goldman, Rice University, Houston, Texas.
Jörg Peters, University of Florida.
Frank Sottile, Texas A&M University.
Expected Participants:
Gudrun Albrecht, Valenciennes.
Ergun Akleman, Texas A&M.
Chandrajit Bajaj, UT Austin.
Laurent Busé, INRIA Sophia Antipolis.
Evangelos Coutsias, University of New Mexico.
Falai Chen, USTC Hefei, China.
Jiansong Deng, USTC Hefei, China.
Tor Dokken, SINTEF, Oslo, Norway.
Gershon Elber, Technion.
Rida Farouki, University of California Davis.
Luis García-Puente, Sam Houston State University.
Xiaoshan Gao, CAS
Laureano Gonzalez-Vega, Cantabria.
Corey Irving, Texas A&M University.
Xiaohong Jia, Academy of Mathematics and System Sciences, Beijing.
Bert Juettler, JKU Linz.
Rimvydas Krasauskas, Vilnius University.
Ming Lin, UNC.
Stephen Mann, Waterloo
Bernard Mourrain, INRIA Sophia Antipolis.
Ragni Piene, University of Oslo.
Helmut Pottmann, KAUST & TU Vienna.
Ulrich Reif, TU Darmstadt.
Tomas Sauer, Giessen Germany.
Scott Schaefer, Texas A&M University.
Hal Schenck, University of Illinois.
Rafael Sendra, Alcala Madrid.
Xiaoran Shi, Rice/UTSC.
Tatyana Sorokina, Towson University.
Gabriel Taubin, Brown University.
Nelly Villamizar, University of Oslo.
Wenping Wang, University of Hong Kong.
Joe Warren, Rice University.
Jianmin Zheng, Singapore.
Chungang Zhu, Dalian Institute of Science and Technology, China.
Severinas Zube, Vilnius University.

:= Participation confirmed.
:= Participation not yet confirmed.

Scientific Overview:

  Algebraic Geometry and Geometric Modeling both study curves, surfaces, and solids, but from distinct perspectives. While Algebraic Geometry is largely concerned with theoretical properties of these objects, Geometric Modeling uses curves and surfaces to represent objects in a computer for industrial design, manufacture, architecture, and entertainment. These applications of geometric modeling to computer–aided geometric design and computer graphics are profoundly important to the world economy.

  In the past dozen years have seen a trend of deepening interactions between these subjects with ideas and methods flowing in both directions. There remains a significant opportunity for further development, both deepening these interactions, and broadening them both within the subjects and by bringing in people who use these same objects in different fields, such as algebraic statistics or approximation theory. The purpose of this workshop on "Algebraic Geometry and Geometric Modeling" is to foster this deepening and broadening of interactions between these subjects.