IMPRESSUM    DATENSCHUTZ
	Fakultät für Mathematik	Universität Regensburg
Arakelov Geometry Semester WiSe 2021 / 22 Lecturer Walter Gubler Type of course (Veranstaltungsart) Vorlesung German title Arakelov Geometrie Contents Arakelov Geometry is a part of arithmetic geometry, where methods of algebra, geometry and analysis are combined. Arakelov theory was popularized through Faltings's proof of the Mordell conjecture. In this course, we will give the arithmetic intersection theory of Gillet-Soule on arithmetic varieties which found many applications as Faltings's proof of the Mordell--Lang conjecture for subvarieties of abelian varieties and as Ullmo's and Zhang's proof of the Bogomolov conjecture. Literature Moriwaki: Arakelov Geometry Soule, Abramovich, Burnol, Kramer: Lectures on Arakelov Geometry Recommended previous knowledge Algebra, Commutative Algebra. It is recommended to take simultaneously Algebraic Geometry Time/Date Tuesaday, Thursday 8-10 Location M104 Registration Preliminary registration for the organisation of exercise classes: at the end of the previous semester via EXA or LSF (see announcement by the department) Registration for course work/examination/ECTS: FlexNow Course work (Studienleistungen) Successful participation in the exercise classes: 50% of the points in the exercises Examination (Prüfungsleistungen) Oral exam: Duration: 25 minutes, Date: tba, re-exam: Date: tba Modules BV, MV, MArGeo ECTS 9

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