Algebraic Geometry and Geometric Modeling (13w5062)


(Rice University)

(University of Florida)

(Texas A&M University)


The Banff International Research Station will host the "Algebraic Geometry and Geometric Modeling" workshop from January 27th to February 1st, 2013.

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.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).