Venue
LH-5
Speaker
Professor Jugal K. Verma
Affiliation
IIT Bombay
Title
Counting roots of polynomials using volumes of Newton polytopes
Abstract: We shall discuss a theorem of DN Bernstein about
counting roots of polynomials using mixed volumes of
Newton polytopes. This improves the classical theorem of Bezout which
counts intersection points of algebraic curves.
We shall give an elementary proof for roots of binomials using the
Hermite normal form of an integer matrix.