\relax \@writefile{toc}{\contentsline {section}{\numberline {1}Number Theory and $p$-adic Geometry}{3}} \newlabel{S1}{{1}{3}} \@writefile{toc}{\contentsline {section}{\numberline {2}Geometry in Characteristic $p$}{5}} \newlabel{S2}{{2}{5}} \@writefile{toc}{\contentsline {section}{\numberline {3}Coverings and Galois Theory}{6}} \newlabel{S3}{{3}{6}} \@writefile{toc}{\contentsline {section}{\numberline {4}A Perfectoid Point}{6}} \newlabel{S4}{{4}{6}} \@writefile{toc}{\contentsline {section}{\numberline {5}Perfectoid Spaces and the Tilt}{7}} \newlabel{S5}{{5}{7}} \@writefile{toc}{\contentsline {section}{\numberline {6}Examples of Applications}{7}} \newlabel{S6}{{6}{7}}