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Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Group rings and dimensions SemesterSoSe 2026 Lecturer Clara Löh/F. Hofmann/M. Wasmeier Type of course (Veranstaltungsart) Seminar German title Gruppenringe und Dimensionen Contents Group rings combine the multiplicative structure of a group with a base ring. They appear naturally in many algebraic and topological situations. Despite their simple definition, even basic questions about group rings (e.g., on the existence of non-trivial zero divisors) easily lead to surprising challenges. In this seminar, we will study elementary algebraic properties of group rings and learn about embeddings of group rings into rings with better algebraic properties. In particular, we will discuss the Kaplansky conjectures, the von Neumann dimension, and the Atiyah conjecture. Recommended previous knowledge Most of the talks will be accessible with basic knowledge on groups, rings, and modules. Some of the talks benefit from experience in analysis, topology or homological algebra. Time/Date Mi 8:30--10:00 Location M 104 Course homepage https://loeh.app.ur.de/teaching/groupringsem_ss26 (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration
BSem, MV, MSem, LA-GySem, BSem.2 ECTS BSem und MSem 4,5 ECTS; LA-GySem 6 ECTS |