News & Events

Mathematics Colloquium

Date/Time: 
Friday, April 6, 2018 - 04:45 to 05:45
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.
 

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