\relax \newlabel{first}{{}{3}} \@writefile{toc}{\contentsline {section}{\numberline {1}Number Theory and $p$-adic Geometry}{4}} \newlabel{S1}{{1}{4}} \@writefile{toc}{\contentsline {section}{\numberline {2}Geometry in Characteristic $p$}{6}} \newlabel{S2}{{2}{6}} \@writefile{toc}{\contentsline {section}{\numberline {3}Coverings and Galois Theory}{7}} \newlabel{S3}{{3}{7}} \@writefile{toc}{\contentsline {section}{\numberline {4}A Perfectoid Point}{8}} \newlabel{S4}{{4}{8}} \@writefile{toc}{\contentsline {section}{\numberline {5}Perfectoid Spaces and the Tilt}{8}} \newlabel{S5}{{5}{8}} \@writefile{toc}{\contentsline {section}{\numberline {6}Examples of Applications}{8}} \newlabel{S6}{{6}{8}}