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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 50th 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

Event Type

Lecture, Colloquia, Seminar


Current students, Faculty

Mathematics, Department of
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