Sabyasachi Mukherjee
TIFR, Mumbai
June 11, 2024
Zeroes of polynomials, Lefschetz-Hopf, and holomorphic dynamics: Finding the structure of zeroes of a polynomial is a basic problem in mathematics. This talk will concern partial extensions of the fundamental theorem of algebra to complex harmonic polynomials. It turns out that tools from iteration theory of holomorphic maps can be used profitably to study the above problem. We will discuss this connection in detail and brieflly mention some related open problems.
TIFR, Mumbai
June 11, 2024
Zeroes of polynomials, Lefschetz-Hopf, and holomorphic dynamics: Finding the structure of zeroes of a polynomial is a basic problem in mathematics. This talk will concern partial extensions of the fundamental theorem of algebra to complex harmonic polynomials. It turns out that tools from iteration theory of holomorphic maps can be used profitably to study the above problem. We will discuss this connection in detail and brieflly mention some related open problems.