Seminar| Institute of Mathematical Sciences
Time: Friday, November 14th, 2025,15:00-16:00
Location: RS408, IMS
Speaker: Bin Xu (许宾）, Sichuan University
Abstract: Polynomials over finite fields are extensively studied due to various motivations. One way to classify these polynomials is by examining their value sets. For instance, polynomials whose value sets encompass the entire base field are known as permutation polynomials, which have many important applications in mathematics and related fields. In this talk, we focus on analyzing the value sets of polynomials over finite fields through their monodromy groups (specific associated Galois groups). We will begin by reviewing some background and previous work, and then present some results for polynomials with small value sets obtained via this approach. This talk is based on some recent works joint with Xiantao Deng and Qianxi Zhu.