11-0611-0214-0611gxx11mxx11rxx11yxx14hxx14kxx14qxx 11d4111g0511f1111f8011g18 abelianvarietiesandschemes algebraiccurves algebraicgeometry algebraicnumbertheory algebraicnumbertheory:globalfields arithmeticalalgebraicgeometry arithmeticaspectsofmodularandshimuravarieties arithmeticvarietiesandschemes;arakelovtheory;heights collections computationalaspectsinalgebraicgeometry computationalnumbertheory conferences curves curvesofarbitrarygenusorgenus$\ne1$overglobalfields diophantineequations discontinuousgroupsandautomorphicforms ellipticcurvesoverglobalfields etc fermat'slasttheorem galoisrepresentations higherdegreeequations;fermat'sequation holomorphicmodularformsofintegralweight numbertheory othergeneralizations potentialsandcapacities potentialtheory proceedings rationalpoints researchexposition(monographs surveyarticles) womenmathematicians zetaand$l$-functions:analytictheory