NORTHEASTERN
UNIVERSITY
MATHEMATICS
DEPARTMENT
REPRESENTATION
THEORY AND RELATED TOPICS SEMINAR
David Cox
(Amherst College)
Two Stories about Implicitization and Commutative Algebra
ABSTRACT: This
talk will discuss some of the unexpected relations between geometric
modeling and commutative algebra. I will discuss moving lines and
moving planes. These give interesting ways of representing parametric
curves and surfaces in the plane and 3-dimensional space, respectively,
and are closely related to syzygy modules in commutative algebra. The
story for curves will involve free resolutions and the Hilbert-Burch
theorem, while the surface case has relations to the Boeing 777, the
Guggenheim Bilbao, resultants, local complete intersections, and the
Serre conjecture.
April 7, 2006
11:30 - 12:30
(Notice unusual time)
511
Lake Hall
For
further information visit http://www.northeastern.edu/martsinkovsky/p/rtrt.html
or contact Alex Martsinkovsky alexmart >at< neu >dot< edu