When: Friday, April 16
Lecture: 3:00 – 4:00 p.m.
Speaker: Liubomir Chiriac (Portland State University)
Title: On the number of roots of polynomials modulo primes
Abstract: Given a polynomial with integer coefficients, we consider the number of solutions it has modulo prime numbers p. A classical problem in number theory is to study how this quantity varies with p. We will discuss several explicit examples where it is possible to give a simple rule that determines the number of linear factors in terms of seemingly unrelated objects. In the process, we will touch upon some of the very first instances of the Langlands Reciprocity Conjecture. This talk will be appropriate for undergraduate and graduate students, as well as faculty in all areas of mathematics.
Zoom link: https://luc.zoom.us/j/89406733575