ncku-talk2011-03-03

NCTS(South)/ NCKU Math Colloquium

DATE 2011-03-03　15:10-16:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER Professor Guenter F. Pilz （Institute of Algebra, Johannes Kepler Universität, Linz）

TITLE Polynomials and Equations

ABSTRACT The decomposition of polynomials w.r.t. composition gives rise to new techniques to solve equations of high degrees. We take a closer look to polynomials with a particular emphasis to composition. If we extend polynomials from those over commutative rings to general rings, or even to groups, semigroups, lattices, etc., many questions
arise: What are polynomials in these cases? What is the difference to polynomial functions? What do these things have to do with equations? What is an equation? Can I choose if the x is a "commuting variable" or is this given?

NCTS(South)/ NCKU Math Colloquium

DATE	2011-03-03　15:10-16:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	Professor Guenter F. Pilz （Institute of Algebra, Johannes Kepler Universität, Linz）

TITLE	Polynomials and Equations

ABSTRACT	The decomposition of polynomials w.r.t. composition gives rise to new techniques to solve equations of high degrees. We take a closer look to polynomials with a particular emphasis to composition. If we extend polynomials from those over commutative rings to general rings, or even to groups, semigroups, lattices, etc., many questions arise: What are polynomials in these cases? What is the difference to polynomial functions? What do these things have to do with equations? What is an equation? Can I choose if the x is a "commuting variable" or is this given?