\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 AGNT}\\[0.2\baselineskip]

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

\textbf{On} \emph{Wednesday, May 21, 2025}
\bigskip

\textbf{At} \emph{14:10 -- 15:10}
\bigskip

\textbf{In} \emph{-101}

\vspace*{2\baselineskip}

{\large\scshape Martin Ludtke 
  %
  (Ben Gurion University)
}
\bigskip

will talk about
\bigskip

{\Large\bfseries Refined Chabauty–Kim computations for the thrice-punctured line over $Z[1/6]$.\par}
\bigskip

\end{center}
\vfill

\textsc{Abstract:}
If \$X\$ is a curve of genus at least \$2\$ defined over the rational numbers, we know by Faltings's Theorem that the set \$X(Q)\$ of rational points is finite but we don't know how to systematically compute this set. In 2005, Minhyong Kim proposed a new framework for studying rational (or S-integral) points on curves, called the Chabauty–Kim method. It aims to produce \$p\$-adic analytic functions on \$X(Q\_p)\$ containing the rational points \$X(Q)\$ in their zero locus. We apply this method to solve the S-unit equation for S=\{2,3\} and computationally verify Kim's Conjecture for many choices of the auxiliary prime \$p\$.








% vim: ft=eruby.tex:


\end{document}

% vim: ft=eruby.tex: