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Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Galois theory in algebra and topology SemesterWiSe 2025 / 26 Lecturer Moritz Kerz, Andrea Panontin, Yuenian Zhou Type of course (Veranstaltungsart) Seminar German title Galoistheorie in Algebra und Topologie Contents Galois theory is the study of certain extensions of a base object by inspecting the symmetries they enjoy. Not too surprisingly, this vague idea can be applied in many areas of mathematics. In this seminar we will look at how this phenomenon arises in algebra, looking at extensions of fields, in topology, with topological coverings, and finally in differential geometry, with ramified extensions of Riemann surfaces. This will allow us to observe the similarities between the various contexts. Finally, we will use the extra differential structure of Riemann surfaces to translate some algebraic questions in topological terms, and see how this can be applied to carry out certain computations. Literature Galois Theory,Coverings, and Riemann Surfaces. Askold Khovanskii Algebra and Galois Theories. Régine Douady Adrien Douady Recommended previous knowledge basics of topological spaces, algebra Time/Date Di, 16:00 - 18:00 Location M 101 Additional question session Time/Date: TBA Location: TBA Course homepage https://elearning.uni-regensburg.de/course/view.php?id=71689 (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration
BSem, MV, MSem, BSem.2 ECTS 4,5 |