Department of Mathematics

Indian Institute Of Technology Madras , Chennai
  • Mathematics Department Shifted to NAC Office of the Department of Mathematics is moved from HSB to New Academic Complex (NAC) 5th and 6th Floor

Counting Roots of Polynomials Using Newton Polytopes

Speaker : Prof. J. K. Verma (Department of Mathematics, IIT Mumbai)

15-02-2018

Abstract :

We shall discuss a theorem of DN Bernstein about counting roots of polynomials using mixed volumes of Newton polytopes. We shall give a proof for roots of binomials using Hermite normal form of an integer matrix and sketch an algebraic proof using Hilbert functions of multi- graded algebras.

Key Speaker Prof. J. K. Verma (Department of Mathematics, IIT Mumbai)
Place NAC 522
Start Time 3:00 PM
Finish Time 4:00 PM
External Link None