\documentclass[oneside,final,12pt]{book}

\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{xunicode}

\usepackage{hyperref}
\usepackage{xstring}
\def\rooturl{https://www.math.bgu.ac.il/}
\hyperbaseurl{\rooturl}
\let\hhref\href
\providecommand{\extrahref}[2][]{\LTRfootnote{\LR{\IfBeginWith*{#2}{http}{\nolinkurl{#2}}{\nolinkurl{\rooturl#2}}}}}
\renewcommand{\href}[2]{\IfBeginWith*{#1}{http}{\hhref{#1}{#2}}{\hhref{\rooturl#1}{#2}}\extrahref{#1}}

\usepackage{polyglossia}
\usepackage{longtable}
%% even in English, we sometimes have Hebrew (as in course hours), and we
%% can't add it in :preamble, since it comes after hyperref
%%\usepackage{bidi}
\setdefaultlanguage{english}
\setotherlanguage{hebrew}
%%\setmainfont[Ligatures=TeX]{Libertinus Serif}
\setmainfont[Script=Hebrew,Ligatures=TeX]{LibertinusSerif}[
  UprightFont = *-Regular,
  BoldFont = *-Bold,
  ItalicFont = *-Italic,
  BoldItalicFont = *-BoldItalic,
  Extension = .otf]

\SepMark{‭.}
\robustify\hebrewnumeral
\robustify\Hebrewnumeral
\robustify\Hebrewnumeralfinal

% vim: ft=eruby.tex:



\begin{document}
\pagestyle{empty}
\pagenumbering{gobble}

\begin{center}
\vspace*{\baselineskip}

{\Large Department of Mathematics, BGU}

\vspace*{\baselineskip}

\rule{\textwidth}{1.6pt}\vspace*{-\baselineskip}\vspace*{2pt}
\rule{\textwidth}{0.4pt}\\[\baselineskip]

{\Huge Colloquium}\\[0.2\baselineskip]

\rule{\textwidth}{0.4pt}\vspace*{-\baselineskip}\vspace{3.2pt}
\rule{\textwidth}{1.6pt}\\[\baselineskip]

\textbf{On} \emph{Tuesday, November 30, 2021}
\bigskip

\textbf{At} \emph{14:30 -- 15:30}
\bigskip

\textbf{In} \emph{Math -101}

\vspace*{2\baselineskip}

{\large\scshape Itay Londner 
  %
  (UBC)
}
\bigskip

will talk about
\bigskip

{\Large\bfseries Tiling the integers with translates of one tile: the Coven-Meyerowitz tiling conditions for three prime factors\par}
\bigskip

\end{center}
\vfill

\textsc{Abstract:}
It is well known that if a finite set of integers A tiles the integers by translations, then the translation set must be periodic, so that the tiling is equivalent to a factorization A+B=Z\_M of a finite cyclic group. Coven and Meyerowitz (1998) proved that when the tiling period M has at most two distinct prime factors, each of the sets A and B can be replaced by a highly ordered ``standard'' tiling complement. It is not known whether this behaviour persists for all tilings with no restrictions on the number of prime factors of M.
In joint work with Izabella Laba (UBC), we proved that this is true when M=(pqr)\^{}2. In my talk I will discuss this problem and introduce some ingredients from the proof.








% vim: ft=eruby.tex:


\end{document}

% vim: ft=eruby.tex:
