2013-05-27 16:00 ~ 2013-05-27 17:00
Prof. Dale Brownawell (Penn. State University)
國立清華大學綜三館 R631
Hilbert's Nullstellensatz and Lower Bounds on Polynomial Values
Abstract: In 1890 Hilbert stated his famous Nullstellensatz, one of his
three cornerstones of the algebra of polynomials and therefore of
commutative algebra. Making it "effective" became a famous problem and
getting "good" explicit control of degrees took a long time. Problems
of classical analysis and of the theory of transcendental numbers
require lower bounds on values of polynomials. These questions are related.
Tea Time: 3:30pm, R707
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