IMPRESSUM   DATENSCHUTZ
	Fakultät für Mathematik	Universität Regensburg
Abelian Varieties Semester WiSe 2024 / 25 Lecturer Julio de Mello Bezerra Type of course (Veranstaltungsart) Seminar German title Abelsche Varietäten Contents Abelian Varieties are multidimensional generalizations of elliptic curves, in the sense that they are algebraic varieties with an abelian group structure, which are ubiquitous in algebraic geometry and number theory. We will learn their definition and properties, and depending on the background and interest of the students, we may also study their analytic properties and classification over the complex numbers, as well as arithmetic applications from the theory developed. Literature Abelian Varieties - Mumford (2nd ed.) Recommended previous knowledge Algebraic Geometry I. Algebraic Geometry II is also recommended, as the more advanced talks will use sheaf cohomology, but some of these notions can be recalled during the talks depending on the background of the students Time/Date Wednesdays at 14:15 Location M 102 Registration Organisational meeting/distribution of topics: Wednesday 17/07 in M102 at 15:30h. If you didn't/can't come to the organisational meeting, please send an email to "Julio.de-Mello-Bezerra@mathematik.uni-regensburg.de" ---- preferably also include your background in algebraic geometry. Registration for course work/examination/ECTS: FlexNow Course work (Studienleistungen) Presentation: Giving a seminar talk of roughly 90 minutes Examination (Prüfungsleistungen) Detailed written report of the seminar talk Modules BSem, MV, MSem, MArGeo ECTS 4,5