# Colloquium

Yu-Ru Liu, University of Waterloo, will present a colloquium titled “Diophantine Problems in Function Fields" as part of the Mathematics Department Women Lecture Series in celebration of the 50^{th} anniversary of the Association for Women in Mathematics.

The abstract for the lecture is: Let $\mathbb{Z}$ be the ring of integers, and let $\mathbb{F}_p[t]$ be the ring of polynomials in one variable defined over the finite field $\mathbb{F}_p$ of $p$ elements. Since the characteristic of $\mathbb{Z}$ is $0$, while that of $\mathbb{F}_p[t]$ is the positive prime number $p$, it is an interesting phenomenon in arithmetic that these two rings resemble one another so faithfully. The study of the similarity and difference between $\mathbb{Z}$ and $\mathbb{F}_p[t]$ lies in the field that relates number fields to function fields. In this talk, we will investigate some Diophantine problems in the settings of $\mathbb{Z}$ and $\mathbb{F}_p[t]$, including Waring's problem about representations of elements with fixed powers.

February 23, 2021 - 2:30 – 3:20 p.m.

Streamed live: https://youtu.be/4lgAc9HlWzg

Tuesday, February 23 at 2:30pm to 3:20pm

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- Department
- Mathematics, Department of
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