Events - September 2019

Wilson Poulter, Department of Pure Mathematics, University of Waterloo

"NIP II"

We finish up section 2.1 and begin section 2.2 of Simon's Guide to NIP theories.

MC 5413

Dino Rossegger, Department of Pure Mathematics, University of Waterloo

"The complexity of Scott sentences of scattered linear orders -- Part II"

**Note time and room change**

Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo

"Introduction to the valuative tree"

Aasaimani Thamizhazhagan, Department of Pure Mathematics, University of Waterloo

"On the structure of invertible elements in Fourier-Stieltjes algebras"

J.C. Saunders, Ben Gurion University of Negev

"Diophantine equations involving the Euler totient function"

We deal with various Diophantine equations involving the Euler totient function. In particular, for $a,b,c,m,n\in\mathbb{N}$ with $m\geq 2$ we study the equations $\varphi(ax^m)=\frac{b\cdot n!}{c}$ and $\varphi\left(\frac{b\cdot n!}{c}\right)=ax^m$ where $\varphi(x)$ is the Euler totient function. We also deal with similar equations involving Lucas sequences of the first kind and second kind, generalising the work of Luca and Stanica.