Erdős-Ko-Rado theorems in polynomials over finite fields

Chi Hoi (Kyle) Yip (Georgia Institute of Technology)

Recently, Adriaensen, and Aguglia, Csajbók, and Weiner studied a analogue of the celebrated Erdős-Ko-Rado theorem for one-variable polynomials over finite fields: for two polynomials \(f(x)\) and \(g(x)\), we naturally say that they intersect if their graphs intersect. In this talk, I will discuss the same problem for multivariable polynomials over finite fields and highlight several interesting phenomenon that are unique to multivariable polynomials. Joint work with Shamil Asgarli and Bence Csajbók.

 Overview  Program